Analysis Of Form Factors Research Articles

Two-meson form factors in unitarized chiral perturbation theory

We present a comprehensive analysis of form factors for two light pseudoscalar mesons induced by scalar, vector, and tensor quark operators. The theoretical framework is based on a combination of unitarized chiral perturbation theory and dispersion relations. The low-energy constants in chiral perturbation theory are fixed by a global fit to the available data of the two-meson scattering phase shifts. Each form factor derived from unitarized chiral perturbation theory is improved by iteratively applying a dispersion relation. This study updates the existing results in the literature and explores those that have not been systematically studied previously, in particular the two-meson tensor form factors within unitarized chiral perturbation theory. We also discuss the applications of these form factors as mandatory inputs for low-energy phenomena, such as the semi-leptonic decays Bs→ π+π−ℓ+ℓ− and the τ lepton decay τ → π−π0ντ, in searches for physics beyond the Standard Model.

Electromagnetic form factors of Σ+ and Σ− in the vector-meson dominance model

Based on the recent measurements of the and processes by the Beijing Spectrometer III (BESIII) collaboration, the electromagnetic form factors of the hyperon Σ+ and Σ− in the timelike region are investigated using the vector-meson dominance model, where the contributions of the ρ, ω, and ϕ mesons are taken into account. The model parameters are determined from the BESIII experimental data of the timelike effective form factors ∣G eff∣ of the Σ+ and Σ− baryons for center-of-mass energies from 2.3864 to 3.02 GeV. It is found that we can provide quantitative descriptions of the available data using as few as one adjustable model parameter. We then progress to an analysis of the electromagnetic form factors in the spacelike region and evaluate the spacelike form factors of the hyperons Σ+ and Σ−. The electromagnetic form factors obtained for the Σ+ and Σ− baryons are comparable with those of other model calculations.

An analysis of urban form factors driving Urban Heat Island: the case of Izmir

The Urban Heat Island (UHI) effect is a common phenomenon in many cities across the world that has significant socioeconomic and environmental ramifications. Recognizing the significance of taking measures to mitigate the UHI effect, a vast body of research has been published, over the past few decades, on this topic. Existing research covers various climatic contexts and has significantly improved our understanding of the dynamics of the UHI. However, there is a lack of research on the potential linkages between the physical form of urban streets and the UHI effect. The results of such research can be used to develop planning and design strategies for achieving climate-resilient urban development. As a step toward filling this gap, in this study, we use a mixed-methods approach, involving graph theory and spatial statistics to examine the relationship between the UHI effect and selected urban form measures such as street network connectivity, street network centrality, and land-use in Izmir, Turkey. Results show that the UHI effect is more intense in areas with higher levels of street network centrality. On the contrary, higher connectivity of the urban street network is associated with lower levels of the UHI effect.

Synthesis and structure of temperature-sensitive nanocapsules

The transport and systematic release of functional agents at specific areas are key challenges in various application fields. These make the development of micro- and nanocapsules, which allow for uptake, storage, and triggered release, of high interest. Hollow thermoresponsive microgels, cross-linked polymer networks with a solvent-filled cavity in their center, are promising candidates as triggerable nanocapsules, as they can adapt their size and shape to the environment. Their shell permeability can be controlled by temperature, while the cavity can serve as a storage place for guest species. Here, we present the synthesis and structural characterization of temperature-responsive microgels, which are deswollen at room temperature and swell upon moderate cooling, to facilitate potential encapsulation experiments. We present microgels made from poly(N-isopropylacrylamide-co-diacetone acrylamide), p(NIPAM-co-DAAM), possessing a volume phase transition temperature below room temperature. Their colloidal stability in the deswollen state can be enhanced by adding a swollen polymer shell made of poly(N-isopropylacrylamide), pNIPAM, as periphery. The synthesis of hollow double-shell microgels comprising a cavity surrounded by an inner p(NIPAM-co-DAAM) shell and an outer pNIPAM shell is established. The inner network enables the control of the shell permeability: the network is deswollen at room temperature and swells upon moderate cooling. The outer network guarantees for steric stability at room temperature. Light scattering techniques are employed for the characterization of the microgels. Form factor analysis reveals that the cavity of the nanocapsules persists at all swelling states, making it an ideal site for the storage of guest species.

Form factor analysis of the surface electromyographic interference pattern.

In contrast to needle electromyography (EMG), surface EMG recordings are painless. It is of interest to develop methods to analyze surface EMG for diagnostic purposes. Surface EMG interference pattern (SIP) recordings from the abductor pollicis brevis muscle of healthy subjects and subjects with amyotrophic lateral sclerosis (ALS) were analyzed by measuring root-mean-square (RMS) voltage, mean rectified voltage, form factor (FF), and the clustering index (CI). The FF vs SIP area plot was used for analysis. The SIP FF was increased and abnormal in ALS subjects, especially when SIP area was less than 200 mVms. Power regression showed a faster FF decline with SIP area in ALS patients than in healthy subjects. The CI and FF showed a strong correlation. FF is easy to calculate and demonstrates abnormalities in ALS patients.

Size characterization of core-corona spherical particles using model-free inverse Fourier transform method

A simple model-free inverse Fourier transform method using a modification function for extraction of the size of spherical nanoparticles from small-angle scattering data is tested with particle models and employed for characterization of strongly-segregated poly(1,2-butadiene-b-ethylene oxide) (PB-PEO) diblock copolymer micelles in water at 30 °C–90 °C. Analysis of small-angle scattering profiles of model particles suggests that the inverse Fourier transform slightly underestimates the size of core domains of spherical particles due to the truncation of experimental scattering profile in the high scattering vector domain. However, this method correctly extracts the size of nanoparticles, including a solvent-swollen corona domain that is difficult to be evaluated using a form-factor analysis. The size of PB-PEO micelles obtained using the inverse Fourier transform method is consistent with the electron microscopy characterization result. The size of PB-PEO micelles decreases with the increase of temperature due to the lower critical solution temperature of PEO in water.

A comprehensive analysis of weak transition form factors for doubly heavy baryons in the light front approach

The transition form factors for doubly heavy baryons into a spin-1/2 or spin-3/2 ground-state baryon induced by both the charged current and the flavor changing neutral current are systematically studied within the light-front quark model. In the transition the two spectator quarks have two spin configurations and both are considered in this calculation. We use an updated vertex functions, and inspired by the flavor SU(3) symmetry, we also provide a new approach to derive the flavor-spin factors. With the obtained transition form factors, we perform a phenomenological study of the corresponding semi-leptonic decays of doubly heavy baryons induced by the crightarrow d/s ell ^+nu , brightarrow c/uell ^-bar{nu } and brightarrow d/sell ^+ell ^-. Results for partial decay widths, branching ratios and the polarization ratios Gamma _{L}/Gamma _{T}s are given. We find that most branching ratios for the semi-leptonic decays induced by the crightarrow d,s transitions are at the order of 10^{-3}sim 10^{-2}, which might be useful for the search of other doubly-heavy baryons. Uncertainties in form factors, the flavor SU(3) symmetry and sources of symmetry breaking effects are discussed. We find that the SU(3) symmetry breaking effects could be sizable in charmed baryon decays while in the bottomed case, the SU(3) symmetry breaking effects are less significant. Our results can be examined at the experimental facilities in the future.

Inclusion of the excited states quark propagator to the nucleon electromagnetic form factors in the perturbative chiral quark model

Electromagnetic form factors of the nucleon are studied within the framework of the Perturbative Chiral Quark Model (PCQM). In a previous analysis of the nucleon electromagnetic form factors, the quark propagator used in the calculation was truncated to quark in the ground state only. The attempt to include the excited states quark propagator contribution to the neutron was performed but not on the proton. Therefore, in this work, we try to be consistent in the nucleonic sector by including the excited states quark propagator up to the second excited states to study the electromagnetic form factors of the nucleon. Our results are in good agreement with experimental data and show the significance of the contribution of the quark excited states propagator to the electromagnetic properties of the nucleon.

Novel NAXE variants as a cause for neurometabolic disorder: implications for treatment.

Neurometabolic disorders are often inherited and complex disorders that result from abnormalities of enzymes important for development and function of the nervous system. Recently, biallelic mutations in NAXE (APOA1BP) were found in patients with an infantile, lethal, neurometabolic disease. Here, exome sequencing was performed in two affected sisters and their healthy parents. The best candidate, NAXE, was tested for replication in exome sequencing data from 4351 patients with neurodevelopmental disorders. Quantitative RT-PCR, western blot and form factor analysis were performed to assess NAXE expression, protein levels and to analyze mitochondrial morphology in fibroblasts. Vitamin B3 was administered to one patient. Compound heterozygous missense (c.757G>A: p.Gly253Ser) and splicing (c.665-1G>A) variants in NAXE were identified in both affected sisters. In contrast to the previously reported patients with biallelic NAXE variants, our patients showed a milder phenotype with disease onset in early adulthood with psychosis, cognitive impairment, seizures, cerebellar ataxia and spasticity. The symptoms fluctuated. Additional screening of NAXE identified three novel homozygous missense variants (p.Lys245Gln, p.Asp218Asn, p.Ile214Val) in three patients with overlapping phenotype (fluctuating disease course, respiratory insufficiency, movement disorder). Lastly, patients with the c.665-1G>A splicing variant showed a significant reduction of NAXE expression compared to control fibroblasts and undetectable NAXE protein levels compared to control fibroblasts. Based on the metabolic pathway, vitamin B3 and coenzyme Q treatment was introduced in one patient in addition to antiepileptic treatment. This combination and avoidance of triggers was associated with continuous motor and cognitive improvement. The NAXE variants identified in this study suggest a loss-of-function mechanism leading to an insufficient NAD(P)HX repair system. Importantly, symptoms of patients with NAXE variants may improve with vitamin B3/coenzyme Q administration.

Precision model-independent bounds from a global analysis of b→cℓν form factors

We present a model-independent global analysis of hadronic form factors for the semileptonic decays $b\rightarrow c\ell\nu$ that exploits lattice-QCD data, dispersion relations, and heavy-quark symmetries. The analysis yields predictions for the relevant form factors, within quantifiable bounds. These form factors are used to compute the semileptonic ratios $R(H_c)$ and various decay-product polarizations. In particular, we find $R(D_s^*)=0.20(3)$ and $R(J/\psi)=0.25(3)$, predictions that can be compared to results of upcoming LHCb measurements. In developing this treatment, we obtain leading-order NRQCD results for the nonzero-recoil relations between the $B_c^+ \rightarrow \{J/\psi , \eta_c \}$ form factors.

Spinocerebellar Ataxia Type 28-Phenotypic and Molecular Characterization of a Family with Heterozygous and Compound-Heterozygous Mutations in AFG3L2.

While heterozygous mutations in the AFG3L2 gene have been linked to spinocerebellar ataxia 28 (SCA28), homozygous mutations in the same gene can cause spastic ataxia 5 (SPAX5). AFG3L2 encodes a mitochondrial ATP-dependent metalloprotease. We here report a SCA28 patient with biallelic AFG3L2 variants and his heterozygous mother. The patient and his mother underwent a detailed neurological examination and fibroblast lines were established. The effect of the two missense variants on mitochondria was assessed by form factor analysis and quantification of mitochondrial proteins (TOMM70, complex V). The 39-year-old index patient presented with a slowly progressive cerebellar gait disorder for 19years, bilateral ptosis, and dysarthria. A cranial MRI showed mild cerebellar atrophy. He carried two compound-heterozygous, rare, missense variants (c.1847A>G [p.Y616C], c.2167G>A [p.V723M]) in AFG3L2, while his mother was heterozygous for the first change that had previously been described in SPAX5. Altered mitochondrial morphology and interconnectivity, together with reduced protein levels of TOMM70 and complex V (ATPase), suggest mitochondrial structural defects in the patient's fibroblasts. No significant abnormalities were found in his mother's fibroblast cultures albeit all measurements were slightly below the control level. We here present a SCA28 patient with compound-heterozygous AFG3L2 variants and demonstrate mitochondrial abnormalities in skin fibroblast cultures from this patient. Thus, AFG3L2 variants should be considered in both slowly progressive ataxias and phenotypes with clinical features reminiscent of mitochondrial disease. Of note, ptosis was present in both mutation carriers and may serve as a red flag in the diagnosis of SCA28.

Quantitative Measure of the Size Dispersity in Ultrasmall Fluorescent Organic-Inorganic Hybrid Core-Shell Silica Nanoparticles by Small-angle X-ray Scattering.

Small-angle X-ray scattering (SAXS) was performed on dispersions of ultrasmall (d < 10 nm) fluorescent organic-inorganic hybrid core-shell silica nanoparticles synthesized in aqueous solutions (C' dots) by using an oscillating flow cell to overcome beam induced particle degradation. Form factor analysis and fitting was used to determine the size and size dispersity of the internal silica core containing covalently encapsulated fluorophores. The structure of the organic poly(ethylene glycol) (PEG) shell was modelled as a monodisperse corona containing concentrated and semi-dilute regimes of decaying density and as a simple polydisperse shell to determine the bounds of dispersity in the overall hybrid particle. C' dots containing single growth step silica cores have dispersities of 0.19-0.21; growth of additional silica shells onto the core produces a thin, dense silica layer, and increases the dispersity to 0.22-0.23. Comparison to FCS and DLS measures of size shows good agreement with SAXS measured and modelled sizes and size dispersities. Finally, comparison of a set of same sized and purified particles demonstrates that SAXS is sensitive to the skewness of the gel permeation chromatography elugrams of the original as-made materials. These and other insights provided by quantitative SAXS assessments may become useful for generation of robust nanoparticle design criteria necessary for their successful and safe use, for example in nanomedicine and oncology applications.

Dispersive analysis of light-meson transition form factors

We discuss status and prospects of a dispersive analysis of the π0, η, and η ′ transition form factors. Particular focus is put on the various pieces of experimental information that serve as input to such a calculation. These can help improve on the precision of an evaluation of the light pseudoscalar pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon.**

Stock identification of Arabian yellow fin Sea bream (Acanthopagrus arabicus) by using shape of otolith in the Northern Persian Gulf &Oman Sea

Analysis of the shape properties of fish otolith is one way to identify stocks of different species in the marine environment. Length, width, area, perimeter, form factor, aspect ratio, roundness, circularity, ellipticity and rectangularity analyses of otoliths were undertaken to assess patterns of spatial and temporal stock structure of a wide-ranging fish, the Arabian yellow fin sea bream Acanthopagrus arabicus. Fish were sampled from 125 stations across the distribution range of the species in the Northern Persian Gulf & Oman Sea from June 2014 to May 2016. Analysis of morphometric parameters of otolith showed the minimum size in Khuzestan waters and the West Strait of Hormuz and the maximum size in the East Strait of Hormuz. In Bushehr waters, the amount of form factor was in the lowest and circular factor showed the highest. These findings are in agreement with the most irregularity in otoliths margin of this area. The highest aspect ratio of otolith indicated the great growth in Khuzestan Waters. The thinner and longer otoliths were identified in the East Strait of Hormuz region. Further, rectangularity ratio factor in the Bushehr and West Strait of Hormuz waters was higher in comparison with other regions and this finding confirmed the quadrilateral otolith shape of this region. There are significant differences among otolith morphometric variables of the A. arabicus (P<0.05). The result of discriminant analysis on morphometric parameters of analysis on otolith morphometric parameters indicated that 53/8 percent were in their geographic location accurately.

Furthering the investigation of eruption styles through quantitative shape analyses of volcanic ash particles

Volcanic ash morphology has been quantitatively investigated for various aims such as studying the settling velocity of ash for modelling purposes and understanding the fragmentation processes at the origin of explosive eruptions. In an attempt to investigate the usefulness of ash morphometry for monitoring purposes, we analyzed the shape of volcanic ash particles through a combination of (1) traditional shape descriptors such as solidity, convexity, axial ratio and form factor and (2) fractal analysis using the Euclidean Distance transform (EDT) method. We compare ash samples from the hydrothermal eruptions of Iwodake (Japan) in 2013, Tangkuban Perahu (Indonesia) in 2013 and Marapi (Sumatra, Indonesia) in 2015, the dome explosions of Merapi (Java, Indonesia) in 2013, the Vulcanian eruptions of Merapi in 2010 and Tavurvur (Rabaul, Papaua New Guinea) in 2014, and the Plinian eruption of Kelud (Indonesia) in 2014. Particle size and shape measurements were acquired from a Particle Size Analyzer with a microscope camera attached to the instrument. Clear differences between dense/blocky particles from hydrothermal or dome explosions and vesicular particles produced by the fragmentation of gas-bearing molten magma are well highlighted by conventional shape descriptors and the fractal method. In addition, subtle differences between dense/blocky particles produced by hydrothermal explosions, dome explosions, or quench granulation during phreatomagmatic eruptions can be evidenced with the fractal method. The combination of shape descriptors and fractal analysis is therefore potentially able to distinguish between juvenile and non-juvenile magma, which is of importance for eruption monitoring.

Analysis of the strong coupling form factors of ΣbNB and ΣcND in QCD sum rules**Supported by Fundamental Research Funds for the Central Universities (2016MS133)

In this article, we study the strong interaction of the vertices ΣbNB and ΣcND using the three-point QCD sum rules under two different Dirac structures. Considering the contributions of the vacuum condensates up to dimension 5 in the operation product expansion, the form factors of these vertices are calculated. Then, we fit the form factors into analytical functions and extrapolate them into time-like regions, which gives the coupling constants. Our analysis indicates that the coupling constants for these two vertices are GΣbNB = 0.43±0.01 GeV−1 and GΣcND = 3.76±0.05 GeV−1.

Size, Shape, and Lateral Correlation of Highly Uniform, Mesoscopic, Self-Assembled Domains of Fluorocarbon-Hydrocarbon Diblocks at the Air/Water Interface: A GISAXS Study.

The shape and size of self-assembled mesoscopic surface domains of fluorocarbon-hydrocarbon (FnHm) diblocks and the lateral correlation between these domains were quantitatively determined from grazing incidence small-angle X-ray scattering (GISAXS). The full calculation of structure and form factors unravels the influence of fluorocarbon and hydrocarbon block lengths on the diameter and height of the domains, and provides the inter-domain correlation length. The diameter of the domains, as determined from the form factor analysis, exhibits a monotonic increase in response to the systematic lengthening of each block, which can be attributed to the increase in van der Waals attraction between molecules. The pair correlation function in real space calculated from the structure factor implies that the inter-domain correlation can reach a distance that is over 25 times larger than the domain's size. The full calculation of the GISAXS signals introduced here opens a potential towards the hierarchical design of mesoscale domains of self-assembled small organic molecules, covering several orders of magnitude in space.

Effect of chromatin structure on quantitative ultrasound parameters.

High-frequency ultrasound (~20 MHz) techniques were investigated using in vitro and ex vivo models to determine whether alterations in chromatin structure are responsible for ultrasound backscatter changes in biological samples. Acute myeloid leukemia (AML) cells and their isolated nuclei were exposed to various chromatin altering treatments. These included 10 different ionic environments, DNA cleaving and unfolding agents, as well as DNA condensing agents. Raw radiofrequency (RF) data was used to generate quantitative ultrasound parameters from spectral and form factor analyses. Chromatin structure was evaluated using electron microscopy. Results indicated that trends in quantitative ultrasound parameters mirrored trends in biophysical chromatin structure parameters. In general, higher ordered states of chromatin compaction resulted in increases to ultrasound paramaters of midband fit, spectral intercept, and estimated scatterer concentration, while samples with decondensed forms of chromatin followed an opposite trend. Experiments with isolated nuclei demonstrated that chromatin changes alone were sufficient to account for these observations. Experiments with ex vivo samples indicated similar effects of chromatin structure changes. The results obtained in this research provide a mechanistic explanation for ultrasound investigations studying scattering from cells and tissues undergoing biological processes affecting chromatin.

Fourth dimension of the nucleon structure: Spacetime analysis of the timelike electromagnetic proton form factors

As well known, spacelike proton form factors expressed in the Breit frame may be interpreted as the Fourier transform of static space distributions of electric charge and current. In particular, the electric form factor is simply the Fourier transform of the charge distribution $F(q)=\int e^{i\vec q \cdot \vec r} \rho(r)d^3r$. We don't have an intuitive interpretation of the same level of simplicity for the proton timelike form factor appearing in the reactions $e^+e^-\leftrightarrow \bar{p}p$. However, one may suggest that in the center of mass (CM) frame, where $q_\mu x^\mu =qt$, a timelike electric form factor is the Fourier transform $F(q) =\int e^{iqt} R(t)dt$ of a function $R(t)$ expressing how the electric properties of the forming (or annihilating) proton-antiproton pair evolve in time. Here we analyze in depth this idea, show that the functions $\rho(r)$ and $R(t)$ can be formally written as the time and space integrals of a unique correlation function depending on both time and space coordinates.

Analysis of nucleon electromagnetic form factors from light-front holographic QCD: The spacelike region

We present a comprehensive analysis of the spacelike nucleon electromagnetic form factors and their flavor decomposition within the framework of light-front holographic QCD. We show that the inclusion of the higher Fock components $\ket {qqqq\bar{q}}$ has a significant effect on the spin-flip elastic Pauli form factor and almost zero effect on the spin-conserving Dirac form factor. We present light-front holographic QCD results for the proton and neutron form factors at any momentum transfer range, including asymptotic predictions, and show that our results agree with the available experimental data with high accuracy. In order to correctly describe the Pauli form factor we need an admixture of a five quark state of about 30$\%$ in the proton and about 40$\%$ in the neutron. We also extract the nucleon charge and magnetic radii and perform a flavor decomposition of the nucleon electromagnetic form factors. The free parameters needed to describe the experimental nucleon form factors are very few: two parameters for the probabilities of higher Fock states for the spin-flip form factor and a phenomenological parameter $r$, required to account for possible SU(6) spin-flavor symmetry breaking effects in the neutron, whereas the Pauli form factors are normalized to the experimental values of the anomalous magnetic moments. The covariant spin structure for the Dirac and Pauli nucleon form factors prescribed by AdS$_5$ semiclassical gravity incorporates the correct twist scaling behavior from hard scattering and also leads to vector dominance at low energy.