First ALMA Maps of Cosmic-Ray Ionization Rate in High-mass Star-forming Regions

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Low-energy cosmic rays (<1 TeV) are a pivotal source of ionization of the interstellar medium, where they play a central role in determining the gas chemical composition and drastically influence the formation of stars and planets. Over the past few decades, H3 + absorption line observations in diffuse clouds have provided reliable estimates of the cosmic-ray ionization rate relative to H2 (). However, in denser clouds, where stars and planets form, this method is often inefficient due to the lack of H3 + rotational transitions. The estimates are, therefore, still provisional in this context and represent one of the least understood components when it comes to defining general models of star and planet formation. In this Letter, we present the first high-resolution maps of the in two high-mass clumps obtained with a new analytical approach recently proposed to estimate the in the densest regions of molecular clouds. We obtain that span from 3 × 10−17 to 10−16 s−1, depending on the different distribution of the main ion carriers, in excellent agreement with the most recent cosmic-ray propagation models. The cores belonging to the same parental clump show comparable , suggesting that the ionization properties of prestellar regions are determined by global rather than local effects. These results provide important information for the chemical and physical modeling of star-forming regions.

Highlights

  • Cold, T 20 K, and dense, n(H2) 104 cm−3, regions within molecular clouds provide the ideal conditions for stars and planets to form

  • This methodology is shown to be accurate within a factor of 1.5–3 if the deuteration levels are well below 10% and the main H+3 isotopologue is H2D+. This means that once the latter is efficiently converted in D2H+ and D+3, the validity of the formula breaks. This method was applied to Atacama Pathfinder EXperiment (APEX) and IRAM-30 m observations in a large sample of high-mass star-forming regions, yielding z Hio2n in the range of (0.7–6)×10−17 s−1 (Sabatini et al 2020) and has the great advantage of being model independent

  • We used a standard propagation of the uncertainties on the Atacama Large Millimeter/ submillimeter Array (ALMA) continuum flux, finding an average uncertainty of 8.5 × 1021 cm−2

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T 20 K, and dense, n(H2) 104 cm−3, regions within molecular clouds provide the ideal conditions for stars and planets to form. Since H3+ is not observable, other tracers are needed to estimate z Hio2n in dense regions without strong background emission. Such methods were implemented in several works starting from the pioneering work of Black et al (1978) where a z Hio2n ~ 10-17 s-1 was derived based on OH, CO, and HD. Analytical approaches, based on the steady-state assumptions and the abundances of DCO+, HCO+, and CO, have been explored, reporting 10-17 < z Hio2n < 10-14 s-1 (e.g., Caselli et al 1998) These methods, depend on the number of independent tracers used to estimate the ionization fraction, i.e., x(e) = n(e)/n(H2), with n(e) as the free electron density. Ivlev et al (2019) derived a z Hio2n ~ 10-16 s-1 with a pure theoretical method based on a self-consistent model in the prestellar core L1544

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ReferencesShowing 10 of 44 papers
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Cosmic ray measurements from Voyager 2 as it crossed into interstellar space
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Simultaneous Determination of the Cosmic Ray Ionization Rate and Fractional Ionization in DR 21(OH)
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Gas and Dust Temperature in Prestellar Cores Revisited: New Limits on Cosmic-Ray Ionization Rate
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  • The Astrophysical Journal
  • Alexei V Ivlev + 3 more

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A new proxy to estimate the cosmic ray ionization rate in dense cores
  • Mar 19, 2020
  • Monthly Notices of the Royal Astronomical Society: Letters
  • S Bovino + 4 more

CitationsShowing 10 of 22 papers
  • Research Article
  • 10.1093/mnrasl/slaf079
JWST reveals cosmic ray dominated chemistry in the local ULIRG IRAS 07251−0248
  • Jun 14, 2025
  • Monthly Notices of the Royal Astronomical Society: Letters
  • G Speranza + 9 more

ABSTRACT We analyse the ro-vibrational absorption bands of various molecular cations (HCO$^+$, HCNH$^+$, and N$_2$H$^+$) and neutral species (HCN, HNC, and HC$_3$N) detected in the James Webb Space Telescope/Mid-Infrared Instrument Medium Resolution Spectrometer spectrum (4.9–27.9 μm) of the local ultraluminous infrared galaxy IRAS 07251-0248. We find that the molecular absorptions are blueshifted by 160 km s$^{-1}$ relative to the systemic velocity of the target. Using local thermal equilibrium excitation models, we derive rotational temperatures ($T_{\rm rot}$) from 42 to 185 K for these absorption bands. This range of measured $T_{\rm rot}$ can be explained by infrared radiative pumping as a by-product of the strength, effective critical density, and opacity of each molecular band. Thus, these results suggest that these absorptions originate in a warm expanding gas shell ($\dot{M}$$\sim$90–330 $\mathrm{ M}_\odot$ yr$^{-1}$), which might be the base of the larger scale cold molecular outflow detected in this source. Finally, the elevated abundance of molecular cations can be explained by a high cosmic ray ionization rate, with log($\zeta _{\text{H}_2}$/n$_{\rm H}\, [\text{cm}^3\, \text{s}^{-1}])$ in the range of -18.2 (from H$_3^+$) to -19.1 (inferred from HCO$^+$ and N$_2$H$^+$, which are likely tracing denser gas), consistent with a cosmic ray dominated chemistry as predicted by chemical models.

  • Research Article
  • Cite Count Icon 5
  • 10.1051/0004-6361/202449616
FAUST
  • Apr 1, 2024
  • Astronomy &amp; Astrophysics
  • G Sabatini + 13 more

Context. The origin of the chemical diversity observed around low-mass protostars probably resides in the earliest history of these systems. Aims. We aim to investigate the impact of protostellar feedback on the chemistry and grain growth in the circumstellar medium of multiple stellar systems. Methods. In the context of the ALMA Large Program FAUST, we present high-resolution (50 au) observations of CH3OH, H2CO, and SiO and continuum emission at 1.3 mm and 3 mm towards the Corona Australis star cluster. Results. Methanol emission reveals an arc-like structure at ∼1800 au from the protostellar system IRS7B along the direction perpendicular to the major axis of the disc. The arc is located at the edge of two elongated continuum structures that define a cone emerging from IRS7B. The region inside the cone is probed by H2CO, while the eastern wall of the arc shows bright emission in SiO, a typical shock tracer. Taking into account the association with a previously detected radio jet imaged with JVLA at 6 cm, the molecular arc reveals for the first time a bow shock driven by IRS7B and a two-sided dust cavity opened by the mass-loss process. For each cavity wall, we derive an average H2 column density of ∼7 × 1021 cm−2, a mass of ∼9 × 10−3 M⊙, and a lower limit on the dust spectral index of 1.4. Conclusions. These observations provide the first evidence of a shock and a conical dust cavity opened by the jet driven by IRS7B, with important implications for the chemical enrichment and grain growth in the envelope of Solar System analogues.

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  • Cite Count Icon 2
  • 10.1051/0004-6361/202449960
Parsec-scale cosmic-ray ionisation rate in Orion
  • Jun 28, 2024
  • Astronomy &amp; Astrophysics
  • A Socci + 4 more

Context. Cosmic rays are a key component of the interstellar medium because they regulate the dynamics and chemical processes in the densest and coldest regions of molecular clouds. Still, the cosmic-ray ionisation rate of H2 (ζH2ion) is one of the most debated parameters characterising molecular clouds because of the uncertainties in the adopted chemical networks and analysis techniques. Aims. This work aims to homogeneously estimate the ζH2ion at parsec scales towards the Orion Molecular Clouds OMC-2 and OMC-3. We explore the change in ζH2ion across a whole star-forming region by probing a range of column densities that has never been explored before. The significant increase in statistics obtained by studying an entire region allows us to place stronger constraints on the range of ζH2ion values and exploit its connection with the physical properties of the interstellar medium. Methods. The most recent ζH2ion estimates are based on o-H2D+, which is a direct product of the interaction between cosmic rays and H2 in cold clouds. Since observations of o-H2D+ are challenging, we proxy its abundance through CO depletion by employing C18O (2–1) observations towards OMC-2 and OMC-3, taking advantage of the existing correlation between the two parameters. Using additional observations of HCO+ (1–0) and DCO+ (3–2), we determine the deuteration fraction, and we finally derive the map of ζH2ion in these two regions. Results. The C18O depletion correlates with both the total column density of H2 and the N2H+ emission across OMC-2 and OMC-3. The obtained depletion factors and deuteration fractions are consistent with previous values obtained in low- and high-mass star-forming regions. These two parameters additionally show a positive correlation in the coldest fields of our maps. We derive cosmic-ray ionisation rates of ζH2ion ~ 5 × 10-18-10-16s-1. These values agree well with previous estimates based on o-H2D+ observations. The ζH2ion also shows a functional dependence on the column density of H2 across a full order of magnitude (~1022–1023 cm−2). The estimated values of ζH2ion decrease overall for increasing N(H2), as predicted by theoretical models. Conclusions. The results delivered by our approach are comparable with theoretical predictions and previous independent studies. This confirms the robustness of the analytical framework and promotes CO depletion as a viable proxy of o-H2D+. We also explore the main limitations of the method by varying the physical size of the gas crossed by the cosmic rays (i.e. the path length). By employing a path length obtained from low-resolution observations, we recover values of the ζH2ion that are well below any existing theoretical and observational prediction. This discrepancy highlights the need for interferometric observations in order to reliably constrain the ζH2ion at parsec scales as well.

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  • 10.1103/physrevd.110.043012
Self-consistent theory of cosmic ray penetration into molecular clouds: Relativistic case
  • Aug 5, 2024
  • Physical Review D
  • D O Chernyshov + 2 more

We study penetration of interstellar cosmic rays (CRs) into molecular clouds surrounded by nonuniform diffuse envelopes. The present work generalizes our earlier model of CR self-modulation [Ivlev ; Dogiel ], in which the value for the envelope’s gas density where CRs excite MHD waves was treated as a free parameter. Now, we investigate the case where the density monotonically increases toward the center. Assuming that CRs are relativistic, we obtain a universal analytical solution which does not depend on the particular shape of gas distribution in the envelope, and self-consistently derive boundaries of the diffusion zone formed within the envelope, where CRs are scattered at the self-excited waves. The values of the gas density at the boundaries are found to be substantially smaller than those assumed in the earlier model, which leads to a significantly stronger modulation of penetrating CRs. We compute the impact of CR self-modulation on the gamma-ray emission and show that the results of our theoretical model are in excellent agreement with recent observations of nearby giant molecular clouds by Yang []. Published by the American Physical Society 2024

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  • Cite Count Icon 3
  • 10.3847/1538-4357/ad71ce
Reevaluation of the Cosmic-Ray Ionization Rate in Diffuse Clouds
  • Sep 27, 2024
  • The Astrophysical Journal
  • M Obolentseva + 8 more

All current estimates of the cosmic-ray (CR) ionization rate rely on assessments of the gas density along the probed sight lines. Until now, these have been based on observations of different tracers, with C2 being the most widely used in diffuse molecular clouds for this purpose. However, dust extinction maps have recently reached sufficient accuracy to give an independent measurement of the gas density on parsec scales. In addition, they allow us to identify the gas clumps along each sight line, thus localizing the regions where CR ionization is probed. We reevaluate H3+ observations, which are often considered as the most reliable method to measure the H2 ionization rate ζH2 in diffuse clouds. The peak density values derived from the extinction maps for 12 analyzed sight lines turn out to be, on average, an order of magnitude lower than the previous estimates and agree with the values obtained from revised analysis of C2 data. We use the extinction maps in combination with the 3d-pdr code to self-consistently compute the H3+ and H2 abundances in the identified clumps for different values of ζH2 . For each sight line, we obtain the optimum value by comparing the simulation results with observations. We show that ζH2 is systematically reduced with respect to the earlier estimates by a factor of ≈9 on average, to ≈6 × 10−17 s−1, primarily as a result of the density reduction. We emphasize that these results have profound consequences for all available measurements of the ionization rate.

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  • Cite Count Icon 10
  • 10.1051/0004-6361/202347997
Probing the physics of star formation (ProPStar)
  • Jun 1, 2024
  • Astronomy &amp; Astrophysics
  • Jaime E Pineda + 13 more

Context. Electron fraction and cosmic-ray ionization rates in star-forming regions are important quantities in astrochemical modeling and are critical to the degree of coupling between neutrals, ions, and electrons, which regulates the dynamics of the magnetic field. However, these are difficult quantities to estimate. Aims. We aim to derive the electron fraction and cosmic-ray ionization rate maps of an active star-forming region. Methods. We combined observations of the nearby NGC 1333 star-forming region carried out with the NOEMA interferometer and IRAM 30 m single dish to generate high spatial dynamic range maps of different molecular transitions. We used the DCO+ and H13CO+ ratio (in addition to complementary data) to estimate the electron fraction and produce cosmic-ray ionization rate maps. Results. We derived the first large-area electron fraction and cosmic-ray ionization rate resolved maps in a star-forming region, with typical values of 10−65 and 10−16.5 s−1, respectively. The maps present clear evidence of enhanced values around embedded young stellar objects (YSOs). This provides strong evidence for locally accelerated cosmic rays. We also found a strong enhancement toward the northwest region in the map that might be related either to an interaction with a bubble or to locally generated cosmic rays by YSOs. We used the typical electron fraction and derived a magnetohydrodynamic (MHD) turbulence dissipation scale of 0.054 pc, which could be tested with future observations. Conclusions. We found a higher cosmic-ray ionization rate compared to the canonical value for N(H2) = 1021−1023 cm−2 of 10−17 s−1 in the region, and it is likely generated by the accreting YSOs. The high value of the electron fraction suggests that new disks will form from gas in the ideal-MHD limit. This indicates that local enhancements of ζ(H2), due to YSOs, should be taken into account in the analysis of clustered star formation.

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  • 10.1093/mnras/staf039
The impact of cosmic-ray heating on the cooling of the low-metallicity interstellar medium
  • Jan 10, 2025
  • Monthly Notices of the Royal Astronomical Society
  • Vittoria Brugaletta + 8 more

ABSTRACT Low-metallicity environments are subject to inefficient cooling. They also have low dust-to-gas ratios and therefore less efficient photoelectric (PE) heating than in solar-neighbourhood conditions, where PE heating is one of the most important heating processes in the warm neutral interstellar medium (ISM). We perform magnetohydrodynamic simulations of stratified ISM patches with a gas metallicity of 0.02 Z$_\odot$ as part of the SILCC project. The simulations include non-equilibrium chemistry, heating, and cooling of the low-temperature ISM as well as anisotropic cosmic-ray (CR) transport, and stellar tracks. We include stellar feedback in the form of far-ultraviolet and ionizing (FUV and extreme ultraviolet, EUV) radiation, massive star winds, supernovae, and CR injection. From the local CR energy density, we compute a CR heating rate that is variable in space and time. In this way, we can compare the relative impact of PE and CR heating on the metal-poor ISM and find that CR heating can dominate over PE heating. Models with a uniform CR ionization rate of $\zeta$ = 3 $\times$ 10$^{-17}$ s$^{-1}$ suppress or severely delay star formation, since they provide a larger amount of energy to the ISM due to CR heating. Models with a variable CR ionization rate form stars predominantly in pristine regions with low PE heating and CR ionization rates where the metal-poor gas is able to cool efficiently. Because of the low metallicity, the amount of formed stars in all runs is not enough to trigger outflows of gas from the mid-plane.

  • Research Article
  • 10.3847/1538-4357/adcef1
Spin-polarized Electrons from Magnetically Aligned Grains and Chiral Symmetry Breaking: Effects of Cosmic Rays in Protostellar Environments
  • May 26, 2025
  • The Astrophysical Journal
  • Thiem Hoang

Abstract Low-energy spin-polarized electrons (SPEs) are thought to cause symmetry breaking and could explain the origin of homochirality of prebiotic molecules such as amino acids and sugars. Here we study the effect of cosmic rays (CRs) on the emission of SPEs from aligned grains in dense protostellar environments and explore their effects on chiral asymmetry of prebiotic molecules. We first show that icy grains in protostellar environments can align with magnetic fields due to magnetically enhanced radiative torque mechanism. We then study the production of thermal electrons by CR ionization of H2 and the CR-induced UV radiation using the attenuated CR spectra in dense cores obtained from a continuous slowing down model. Next, we show that thermal electrons with initial random spins captured by aligned grains will become spin-polarized due to the Barnett effect, converting unpolarized electrons into SPEs. We calculate the rate of photoemission of such SPEs by CRs-induced UV radiation and secondary electron emission from aligned grains and find that the photoemission by CRs-induced UV radiation is dominant. Finally, we calculate the total production rate of SPEs inside aligned dust grains by CRs. We estimate the alignment degree of SPEs from superparmagnetic (SPM) grains and find that it is only significant for SPM grains having large iron clusters and fast rotation. We suggest that low-energy secondary SPEs from aligned superparamagnetic grains with large iron inclusions induced by CRs might cause the chiral asymmetry of chiral prebiotic molecules formed in the ice mantle of aligned grains (analogously to UV circularly polarized light). We propose that amino acids and sugars of chiral asymmetry detected in meteorite/asteroids/comets might be formed in icy grain mantles with superparamagnetic inclusions under the irradiation of SPEs released from aligned grains by CRs in protostellar environments.

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  • Cite Count Icon 5
  • 10.1051/0004-6361/202346413
Testing analytical methods to derive the cosmic-ray ionisation rate in cold regions via synthetic observations
  • May 1, 2024
  • Astronomy &amp; Astrophysics
  • E Redaelli + 6 more

Context. Cosmic rays (CRs) heavily impact the chemistry and physics of cold and dense star-forming regions. However, the characterisation of their ionisation rate continues to pose a challenge from the observational point of view. Aims. In the past, a few analytical formulas have been proposed to infer the cosmic-ray ionisation rate, ζ2, from molecular line observations. These have been derived from the chemical kinetics of the involved species, but they have not yet been validated using synthetic data processed with a standard observative pipeline. In this work, we aim to bridge this gap. Methods. We performed a radiative transfer on a set of three-dimensional magneto-hydrodynamical simulations of prestellar cores, exploring different initial ζ2, evolutionary stages, types of radiative transfer (for instance assuming local-thermodynamic-equilibrium conditions), and telescope responses. We then computed the column densities of the involved tracers to determine ζ2, employing a recently proposed method based on the detection of H2D+. We compared this approach with a previous method, based on more common tracers. Both approaches are commonly used. Results. Our results confirm that the equation based on the detection of H2D+ accurately retrieves the actual ζ2 within a factor of two to three in the physical conditions explored in our tests. Since we have also explored a non-local thermodynamic equilibrium (non-LTE) radiative transfer, this work indirectly offers insights into the excitation temperatures of common transitions at moderate volume densities (n ≈ 105 cm−3). We also performed a few tests using a previous methodology that is independent of H2D+, which overestimates the actual ζ2 by at least two orders of magnitude. We considered a new derivation of this method, however, we found that it still leads to high over-estimations. Conclusions. The method based on H2D+ is further validated in this work and demonstrates a reliable method for estimating ζ2 in cold and dense gas. On the contrary, the former analytical equation, as already pointed out by its authors, has no global domain of application. Thus, we find that it ought to be employed with caution.

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  • Cite Count Icon 11
  • 10.1051/0004-6361/202348168
Ultraviolet H2luminescence in molecular clouds induced by cosmic rays
  • Feb 1, 2024
  • Astronomy &amp; Astrophysics
  • Marco Padovani + 7 more

Context. Galactic cosmic rays (CRs) play a crucial role in ionisation, dissociation, and excitation processes within dense cloud regions where UV radiation is absorbed by dust grains and gas species. CRs regulate the abundance of ions and radicals, leading to the formation of more and more complex molecular species, and determine the charge distribution on dust grains. A quantitative analysis of these effects is essential for understanding the dynamical and chemical evolution of star-forming regions.Aims. The CR-induced photon flux has a significant impact on the evolution of the dense molecular medium in its gas and dust components. This study evaluates the flux of UV photons generated by CRs to calculate the photon-induced dissociation and ionisation rates of a vast number of atomic and molecular species, as well as the integrated UV photon flux.Methods. To achieve these goals, we took advantage of recent developments in the determination of the spectra of secondary electrons, in the calculation of state-resolved excitation cross sections of H2by electron impact, and of photodissociation and photoionisation cross sections.Results. We calculated the H2level population of each rovibrational level of theX, B, C, B′,D, B″,D′, andastates. We then computed the UV photon spectrum of H2in its line and continuum components between 72 and 700 nm, with unprecedented accuracy, as a function of the CR spectrum incident on a molecular cloud, the H2column density, the isomeric H2composition, and the dust properties. The resulting photodissociation and photoionisation rates are, on average, lower than previous determinations by a factor of about 2, with deviations of up to a factor of 5 for the photodissociation of species such as AlH, C2H2, C2H3, C3H3, LiH, N2, NaCl, NaH, O2+, S2, SiH, l-C4, and l-C5H. A special focus is given to the photoionisation rates of H2, HF, and N2, as well as to the photodissociation of H2, which we find to be orders of magnitude higher than previous estimates. We give parameterisations for both the photorates and the integrated UV photon flux as a function of the CR ionisation rate, which implicitly depends on the H2column density, as well as the dust properties.

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  • Nick Indriolo + 2 more

Diffuse interstellar clouds show large abundances of H_3^+ which can be maintained only by a high ionization rate of H_2. Cosmic rays are the dominant ionization mechanism in this environment, so the large ionization rate implies a high cosmic-ray flux, and a large amount of energy residing in cosmic rays. In this paper we find that the standard propagated cosmic-ray spectrum predicts an ionization rate much lower than that inferred from H_3^+. Low-energy (~10 MeV) cosmic rays are the most efficient at ionizing hydrogen, but cannot be directly detected; consequently, an otherwise unobservable enhancement of the low-energy cosmic-ray flux offers a plausible explanation for the H_3^+ results. Beyond ionization, cosmic rays also interact with the interstellar medium by spalling atomic nuclei and exciting atomic nuclear states. These processes produce the light elements Li, Be, and B, as well as gamma-ray lines. To test the consequences of an enhanced low-energy cosmic-ray flux, we adopt two physically-motivated cosmic-ray spectra which by construction reproduce the ionization rate inferred in diffuse clouds, and investigate the implications of these spectra on dense cloud ionization rates, light element abundances, gamma-ray fluxes, and energetics. One spectrum proposed here provides an explanation for the high ionization rate seen in diffuse clouds while still appearing to be broadly consistent with other observables, but the shape of this spectrum suggests that supernovae remnants may not be the predominant accelerators of low-energy cosmic rays.

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Dissociative Recombination of Rotationally Cold OH+ and Its Implications for the Cosmic Ray Ionization Rate in Diffuse Clouds
  • Sep 28, 2023
  • The Astrophysical Journal Letters
  • Ábel Kálosi + 14 more

Observations of OH+ are used to infer the interstellar cosmic ray ionization rate in diffuse atomic clouds, thereby constraining the propagation of cosmic rays through and the shielding by interstellar clouds, as well as the low energy cosmic ray spectrum. In regions where the H2-to-H number density ratio is low, dissociative recombination (DR) is the dominant destruction process for OH+ and the DR rate coefficient is important for predicting the OH+ abundance and inferring the cosmic ray ionization rate. We have experimentally studied DR of electronically and vibrationally relaxed OH+ in its lowest rotational levels, using an electron–ion merged-beams setup at the Cryogenic Storage Ring. From these measurements, we have derived a kinetic temperature rate coefficient applicable to diffuse cloud chemical models, i.e., for OH+ in its electronic, vibrational, and rotational ground level. At typical diffuse cloud temperatures, our kinetic temperature rate coefficient is a factor of ∼5 times larger than the previous experimentally derived value and a factor of ∼33 times larger than the value calculated by theory. Our combined experimental and modeling results point to a significant increase for the cosmic ray ionization rate inferred from observations of OH+ and H2O+, corresponding to a geometric mean of (6.6 ± 1.0) × 10−16 s−1, which is more than a factor of 2 larger than the previously inferred values of the cosmic ray ionization rate in diffuse atomic clouds. Combined with observations of diffuse and dense molecular clouds, these findings indicate a greater degree of cosmic ray shielding in interstellar clouds than has been previously inferred.

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  • 10.1093/mnras/stz555
Can a cosmic ray carrot explain the ionization level in diffuse molecular clouds?
  • Feb 25, 2019
  • Monthly Notices of the Royal Astronomical Society
  • S Recchia + 3 more

Low energy cosmic rays are the major ionization agents of molecular clouds. However, it has been shown that, if the cosmic ray spectrum measured by Voyager 1 is representative of the whole Galaxy, the predicted ionization rate in diffuse clouds fails to reproduce data by 1-2 orders of magnitude, implying that an additional source of ionization must exist. One of the solutions proposed to explain this discrepancy is based on the existence of an unknown low energy (in the range 1 keV-1 MeV, not probed by Voyager) cosmic ray component, called carrot when first hypothesized by Reeves and collaborators in the seventies. Here we investigate the energetic required by such scenario. We show that the power needed to maintain such low energy component is comparable of even larger than that needed to explain the entire observed cosmic ray spectrum. Moreover, if the interstellar turbulent magnetic field has to sustain a carrot, through second-order Fermi acceleration, the required turbulence level would be definitely too large compared to the one expected at the scale resonant with such low energy particles. Our study basically rules out all the plausible sources of a cosmic ray carrot, thus making such hidden component unlikely to be an appealing and viable source of ionization in molecular clouds.

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Low energy cosmic rays (up to the GeV energy domain) play a crucial role in the physics and chemistry of the densest phase of the interstellar medium. Unlike interstellar ionising radiation, they can penetrate large column densities of gas, and reach molecular cloud cores. By maintaining there a small but not negligible gas ionisation fraction, they dictate the coupling between the plasma and the magnetic field, which in turn affects the dynamical evolution of clouds and impacts on the process of star and planet formation. The cosmic-ray ionisation of molecular hydrogen in interstellar clouds also drives the rich interstellar chemistry revealed by observations of spectral lines in a broad region of the electromagnetic spectrum, spanning from the submillimetre to the visual band. Some recent developments in various branches of astrophysics provide us with an unprecedented view on low energy cosmic rays. Accurate measurements and constraints on the intensity of such particles are now available both for the very local interstellar medium and for distant interstellar clouds. The interpretation of these recent data is currently debated, and the emerging picture calls for a reassessment of the scenario invoked to describe the origin and/or the transport of low energy cosmic rays in the Galaxy.

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Multiple ionization by low-energy cosmic rays and the abundance of highly ionized interstellar atoms
  • Feb 1, 1976
  • The Astrophysical Journal
  • W D Watson

view Abstract Citations (2) References (19) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Multiple ionization by low-energy cosmic rays and the abundance of high ionized interstellar atoms. Watson, W. D. Abstract Calculations are presented and employed in conjunction with available experimental data to estimate cross sections for multiple ionization of atoms by low-energy (MeV/nucleon) cosmic rays. The efficiency of multiple ionization increases rapidly with the charge of the cosmic ray, so that heavier (Z at least 6) nuclei are the dominant contributors for cosmic-ray compositions deduced from higher-energy cosmic rays. Multiple ionization dominates in the production of certain highly ionized atoms by cosmic rays under typical interstellar conditions. N v is considered explicitly, and its production rate by low-energy cosmic rays is estimated to be enhanced by a factor of about 5 to 100. For a low-energy cosmic-ray flux of the proposed intensity for heating and ionizing the interstellar gas, the predicted abundance for N v will be near or above the observed limit if previous calculations are otherwise correct. Publication: The Astrophysical Journal Pub Date: February 1976 DOI: 10.1086/154149 Bibcode: 1976ApJ...204...47W Keywords: Abundance; Atomic Excitations; Cosmic Rays; Gas Ionization; Interstellar Gas; Ion Production Rates; Ionization Cross Sections; Particle Interactions; Radiant Heating; Astrophysics full text sources ADS |

  • Research Article
  • Cite Count Icon 2
  • 10.1071/ph790383
Galactic ?-ray Lines Resulting from Interactions Between Low Energy Cosmic Rays and the Interstellar Medium
  • Jan 1, 1979
  • Australian Journal of Physics
  • Masato Yoshimori

Calculated spectral profiles and galactic distributions are presented for y-ray lines resulting from interactions between low energy cosmic rays and the interstellar gas and dust. Calculated local intensities are also presented for y-ray lines from discrete sources such as supernova remnants and dense interstellar gas clouds. The y-ray lines from excited dust nuclei (which have long mean lifetimes) are sharp, having widths of the order of a few keV; the lines from excited gas nuclei are relatively narrow, having widths of the order of 100 keV; and the lines from excited cosmic ray nuclei are broad, having widths of the order of 1 MeV. The longitudinal distribution of y-ray lines in the galactic plane shows a significant concentration toward the galactic centre, and a rapid falloff beyond I;. 50�. The most intense y-ray lines arise from positron annihilation (0�511 MeV) and the deexcitation of 12C* (4�439 MeV) and 160* (6�131 MeV). In the direction of the galactic centre, these lines have estimated intensities of the order of 10-5 photons cm-2s-1rad- 1, and so they may be resolved from the diffuse y-ray background there by observing with a high resolution Ge(Li) detector. In the direction of several strong discrete sources, the estimated fluxes are generally lower: ~10-6 photons cm-2s-1 for the Crab Nebula and the Vela pulsar, ~10-8 photons cm-2 s-1 for the interstellar dense cloud pOph, but ~10-5 photons cm-2 s-1 for the ring cloud around the galactic centre. The calculated intensities of various other y-ray lines are compared with available experimental data, and their detectability is considered. The implication of the galactic distribution of low energy cosmic rays for the gas density of the interstellar space through which the cosmic rays propagate is also discussed.

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  • Research Article
  • 10.3390/universe10080310
Low-Energy Cosmic Rays and Associated MeV Gamma-Ray Emissions in the Protoplanetary System
  • Jul 27, 2024
  • Universe
  • Xulei Sun + 4 more

Low-energy cosmic rays (LECRs) play a crucial role in the formation of planetary systems, and detecting and reconstructing the properties of early LECRs is essential for understanding the mechanisms of planetary system formation. Given that LECRs interact with the surrounding medium to produce nuclear de-excitation line emissions, which are gamma-ray emissions with energy mainly within 0.1–10 MeV and are unaffected by stellar wind modulation, these emissions can accurately reflect the properties of LECRs. This study introduces an innovative method for using gamma-ray emissions to infer LECR properties. We employed the Parker transport equation to simulate the propagation and spectral evolution of LECRs in a protoplanetary disk and calculated the characteristic gamma-ray emissions resulting from interactions between LECRs and disk material. These gamma-ray emissions encapsulate the spectral information of LECRs, providing a powerful tool to reconstruct the cosmic ray environment at that time. This method, supported by further theoretical developments and observations, will fundamentally enhance our understanding of the impact of CRs on the origin and evolution of planetary systems and address significant scientific questions regarding the cosmic ray environment at the origin of life.

  • Research Article
  • Cite Count Icon 20
  • 10.1086/162324
The isotopic composition of the anomalous low-energy cosmic rays
  • Aug 1, 1984
  • The Astrophysical Journal
  • R A Mewaldt + 2 more

view Abstract Citations (23) References (53) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS The isotopic composition of the anomalous low-energy cosmic rays Mewaldt, R. A. ; Spalding, J. D. ; Stone, E. C. Abstract Measurements of the isotopes of low energy cosmic ray He, C, N, O and Ne nuclei are analyzed, in concert with previous data, to examine relationships between galactic cosmic rays (GCR) and anomalous cosmic rays (ACR), which could arise from either extragalactic or interstellar sources. A ground-based heavy isotope spectrometer telescope was used for the survey, along with IMP-7 and IMP-8 data and ISEE-3 data. The data were recorded from 1973-78. Spectral and abundance data are provided for each element. Fragmentation was absent in the ACR data, unlike the GCR data. Differences were also observed in the Ne-22/Ne-20 ratios of ACR and GCR. It is suggested, therefore, that the low energy ACR isotopes have an interstellar origin and are useful for studies of the local interstellar medium. Publication: The Astrophysical Journal Pub Date: August 1984 DOI: 10.1086/162324 Bibcode: 1984ApJ...283..450M Keywords: Energy Spectra; Galactic Cosmic Rays; Interstellar Matter; Isotopes; Abundance; Anomalies; Particle Energy; Stellar Winds; Space Radiation full text sources ADS |

  • Research Article
  • Cite Count Icon 302
  • 10.1051/0004-6361/200911794
Cosmic-ray ionization of molecular clouds
  • May 19, 2009
  • Astronomy &amp; Astrophysics
  • M Padovani + 2 more

Low-energy cosmic rays are a fundamental source of ionization for molecular clouds, influencing their chemical, thermal and dynamical evolution. The purpose of this work is to explore the possibility that a low-energy component of cosmic-rays, not directly measurable from the Earth, can account for the discrepancy between the ionization rate measured in diffuse and dense interstellar clouds. We collect the most recent experimental and theoretical data on the cross sections for the production of H2+ and He+ by electron and proton impact, and we discuss the available constraints on the cosmic-ray fluxes in the local interstellar medium. Starting from different extrapolations at low energies of the demodulated cosmic-ray proton and electron spectra, we compute the propagated spectra in molecular clouds in the continuous slowing-down approximation taking into account all the relevant energy loss processes. The theoretical value of the cosmic-ray ionization rate as a function of the column density of traversed matter is in agreement with the observational data only if either the flux of cosmic-ray electrons or of protons increases at low energies. The most successful models are characterized by a significant (or even dominant) contribution of the electron component to the ionization rate, in agreement with previous suggestions. However, the large spread of cosmic-ray ionization rates inferred from chemical models of molecular cloud cores remains to be explained. Available data combined with simple propagation models support the existence of a low-energy component (below about 100 MeV) of cosmic-ray electrons or protons responsible for the ionization of molecular cloud cores and dense protostellar envelopes.

  • Research Article
  • Cite Count Icon 115
  • 10.1086/176677
Light Isotopes, Extinct Radioisotopes, and Gamma-Ray Lines from Low-Energy Cosmic-Ray Interactions
  • Jan 1, 1996
  • The Astrophysical Journal
  • Reuven Ramaty + 2 more

view Abstract Citations (135) References (47) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Light Isotopes, Extinct Radioisotopes, and Gamma-Ray Lines from Low-Energy Cosmic-Ray Interactions Ramaty, Reuven ; Kozlovsky, Benzion ; Lingenfelter, Richard E. Abstract We have carried out detailed calculations of gamma-ray line, light isotope, and extinct radioactive isotope production by low-energy cosmic rays for a broad range of accelerated particle abundances and energy spectra. We first apply these calculations to the gamma-ray line emission observed from the Orion molecular cloud complex. These gamma rays have provided the most direct evidence for the presence of large fluxes of low-energy cosmic rays in the Galaxy. Next we show that the bulk of the Galactic boron, beryllium, and 6Li could have been produced over the age of the Galaxy by interactions of low-energy cosmic rays having typical particle energies around 30 MeV nucleon-1 Such cosmic-ray interactions can account for the observed meteoritic 11B/10B which is higher than the isotopic ratio predicted by relativistic cosmic-ray interactions. Low- energy cosmic rays of similar energies could have also made a significant contribution to the production of 41Ca in meteoritic calcium-aluminum inclusions (CAIs) formed in the early solar system, provided that the cosmic-ray irradiation and CAl formation periods were essentially cotemporal. However, the production of significant amounts of 26Al by low-energy cosmic rays in the early solar system is unlikely because it would overproduce 9Be and 6Li. Publication: The Astrophysical Journal Pub Date: January 1996 DOI: 10.1086/176677 Bibcode: 1996ApJ...456..525R Keywords: ACCELERATION OF PARTICLES; ISM: COSMIC RAYS; GALAXY: ABUNDANCES; GAMMA RAYS: THEORY; NUCLEAR REACTIONS; NUCLEOSYNTHESIS; ABUNDANCES; SOLAR SYSTEM: FORMATION; STARS: SUPERNOVAE: GENERAL full text sources ADS |

  • Research Article
  • Cite Count Icon 1
  • 10.1086/108960
Production of Low-Energy Cosmic Rays by Collisions of High-Energy Cosmic Rays with Interstellar Gas.
  • Jun 1, 1963
  • The Astronomical Journal
  • M Ferentz + 1 more

The production rate of protons of energy less than 1 BeV in interstellar space is calculated from empirical cross sections for proton-proton elastic and inelastic collisions in the kinetic energy range 1 to 30 BeV. Representing the cosmic ray intensity by a simple fit to the observed spectrum in the absence of solar activity the production spectrum is found to decrease steadily from zero energy to a value one- tenth as great at 500 MeV. The integrated production rate of 0-500 MeV protons is 10-26 cm-3 sec-1 from elastic collisions, and the contribution from inelastic collisions is estimated to be of lower order. The production spectrum is combined with the slowing lifetimes of protons in the interstellar gas (Meskys and Milford, Bull. Am. Phys. Soc. 8, 305, 1963) to give the density of these 0-500 MeV protons as 10-li cm-3 with an intensity of 10-i cm-2 sec-1. Recently Hayakawa, Nishimura, and Takayanagi (Publ. Astron. Soc. Japan 13, 184, 1961) have suggested that low-energy cosmic rays contribute appreciably to the heating of interstellar gas clouds, with an assumed low-energy cosmic ray intensity of order 100 cm-2 sec-1. From the above calculations it may be seen that high-energy collisions can not supply any significant fraction of such a hypothesized high intensity. Future measurements of low-energy interstellar cosmic rays will indicate what fraction of these can be attributed to the collision mechanism discussed above, and what fraction must be due to other mechanisms, such as stellar injection and interstellar magnetic field acceleration.

  • Conference Article
  • 10.22323/1.221.0021
Propagation of cosmic rays into diffuse clouds
  • Jun 10, 2015
  • Giovanni Morlino + 1 more

We study the capability of low-energy cosmic rays (CR) to penetrate into diffuse clouds when they move from the hot ionized plasma to a cool cloud embedded in that plasma. The spectrum of CR inside a cloud can be remarkably different from the the one present in the hot interstellar medium because when CRs pass through a dense cloud of matter, they suffer energy losses due to ionization and nuclear interactions. Hence there is a net flux of CRs towards the cloud that can excite Alfven waves. In turn, self-excited Alfven waves enhances the diffusion of CRs near the edge of the cloud, forcing CRs to spend more time in this layer and increasing the amount of energy losses. The final effect is that the flux of CR entering into the cloud is strongly suppressed below an energy threshold whose value depends on ambient parameters. For the first time we use the full kinetic theory to describe this problem, coupling CRs and Alfven waves through the streaming instability, and including the damping of the waves due to ion-neutral friction and the CR energy losses due to ionization and pion production. Differently from previous approaches, this method allow us to describe the full CR spectrum and the magnetic turbulence spectrum in the transition region between hot interstellar medium and the cloud. For the typical size and density of diffuse clouds in the Galaxy, we find that the flux of particles entering the cloud is strongly reduced below E ∼ 10−100 MeV, while for larger energies the CR spectrum remain unaltered.

  • Research Article
  • Cite Count Icon 53
  • 10.1086/430598
Confinement-driven Spatial Variations in the Cosmic-Ray Flux
  • Apr 13, 2005
  • The Astrophysical Journal
  • Paolo Padoan + 1 more

Low-energy cosmic rays (CRs) are confined by self-generated MHD waves in the mostly neutral interstellar medium. We show that the CR transport equation can be expressed as a continuity equation for the CR number density involving an effective convection velocity. Assuming a balance between wave growth and ion-neutral damping, this equation gives a steady state condition ncr ∝ n up to a critical density for free streaming. This relation naturally accounts for the heretofore unexplained difference in CR ionization rates derived for dense diffuse clouds (McCall et al.) and dark clouds, and predicts large spatial variations in the CR heating rate and pressure.

  • Research Article
  • Cite Count Icon 127
  • 10.1093/mnras/stt672
Towards a population synthesis model of objects formed by self-gravitating disc fragmentation and tidal downsizing
  • May 12, 2013
  • Monthly Notices of the Royal Astronomical Society
  • Duncan Forgan + 1 more

Recently, the gravitational instability (GI) model of giant planet and brown dwarf formation has been revisited and recast into what is often referred to as the "tidal downsizing" hypothesis. The fragmentation of self-gravitating protostellar discs into gravitationally bound embryos - with masses of a few to tens of Jupiter masses, at semi major axes above 30 - 40 au - is followed by grain sedimentation inside the embryo, radial migration towards the central star and tidal disruption of the embryo's upper layers. The properties of the resultant object depends sensitively on the timescales upon which each process occurs. Therefore, GI followed by tidal downsizing can theoretically produce objects spanning a large mass range, from terrestrial planets to giant planets and brown dwarfs. Whether such objects can be formed in practice, and what proportions of the observed population they would represent, requires a more involved statistical analysis. We present a simple population synthesis model of star and planet formation via GI and tidal downsizing. We couple a semi-analytic model of protostellar disc evolution to analytic calculations of fragmentation, initial embryo mass, grain growth and sedimentation, embryo migration and tidal disruption. While there are key pieces of physics yet to be incorporated, it represents a first step towards a mature statistical model of GI and tidal downsizing as a mode of star and planet formation. We show results from four runs of the population synthesis model, varying the opacity law and the strength of migration, as well as investigating the effect of disc truncation during the fragmentation process. Our early results suggest that GI plus tidal downsizing is not the principal mode of planet formation, but remains an excellent means of forming gas giant planets, brown dwarfs and low mass stars at large semimajor axes. (Abridged)

  • Research Article
  • Cite Count Icon 64
  • 10.1086/175434
On magnetic turbulence in interstellar clouds
  • Mar 1, 1995
  • The Astrophysical Journal
  • P C Myers + 1 more

view Abstract Citations (73) References (86) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS On Magnetic Turbulence in Interstellar Clouds Myers, P. C. ; Khersonsky, V. K. Abstract Observations of diffuse, dark, and giant molecular clouds and their cores are analyzed to determine properties of their turbulent motions. Estimates of characteristic cloud internal density, external extinction, and external radiation field intensity are used to deduce the electron fraction chie due to both photoionization and cosmic rays. This ionization fraction exceeds that due to cosmic rays alone, by factors approximately 5 for dark cloud cores to approximately 4000 for giant molecular clouds with embedded OB stars. Estimates of characteristic cloud size, density, velocity dispersion, ionization fraction, and magnetic field strength then indicate that four diagnostic numbers exceed unity by a significant factor: the Reynolds number, the magnetic Reynolds number, the Hartmann number, and the 'wave coupling number,' or ratio of cloud size to minimum hydromagnetic wavelength. These results indicate that virtually all observed interstellar clouds have strong coupling between the magnetic field and the neutral gas, through ion-neutral collisions, even if the field is weaker than its equipartition value. This coupling allows energetically significant magnetohydrodynamic (MHD) waves to propagate above cutoff, so that MHD waves, chaotic motions, and clumpy density structure are probably more pervasive in interstellar clouds than would be expected from cosmic-ray ionization alone. This strong coupling implies that the timescale for ambipolar diffusion is at least approximately 107 yr for low-mass cores, and is at least approximately 108 yr for the gas around cores. These timescales may be too long for all of the mass in a low-mass core to condense via ambipolar diffusion. The observed velocity dispersion is strongly correlated with the estimated electron fraction, according to the power law nu approximately chie p, with p approximately = 0.3. This trend, and those already known among velocity dispersion, size, and density, suggest that increasing extinction may influence the structure of cloud density and velocity dispersion by driving a cycle of decreasing ionization, decreasing MHD wave activity, decreasing velocity dispersion, and increasing density. Publication: The Astrophysical Journal Pub Date: March 1995 DOI: 10.1086/175434 Bibcode: 1995ApJ...442..186M Keywords: Interstellar Magnetic Fields; Ionization; Magnetic Flux; Magnetohydrodynamic Waves; Molecular Clouds; Turbulence; Abundance; Ambipolar Diffusion; Density Distribution; Photoionization; Reynolds Number; Velocity Distribution; Astrophysics; ISM: CLOUDS; ISM: MAGNETIC FIELDS; ISM: MOLECULES; MAGNETOHYDRODYNAMICS: MHD; TURBULENCE; WAVES full text sources ADS | data products SIMBAD (7)

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