Magnetic Quadrupole Moment Research Articles

Quantum Behavior of a Moving Magnetic Quadrupole Moment in the Presence of Harmonic Oscillator and External Fields Within Noncommutative Space

Quantum Behavior of a Moving Magnetic Quadrupole Moment in the Presence of Harmonic Oscillator and External Fields Within Noncommutative Space

Nuclear Moment During Nuclear Scattering Using Wave Function of Nucleus

Within the electromagnetic theory, in the present study, we investigate and calculate the magnetic dipole and electric quadrupole moments of J = 1 nuclei using nucleon moment operators and wave function of each nucleus. Then, we made each of the J = 1 nuclei interact with 178O to investigate the potential interaction effect on moment variations.

Comment on “Aharonov-Bohm effect for bound states from the interaction of the magnetic quadrupole moment of a neutral particle with axial fields”

We analyze recently published results about the Aharonov-Bohm effect for bound states from the interaction of the magnetic quadrupole moment of a neutral particle with axial fields. We show that the eigenvalues obtained by the authors from an arbitrary truncation of the Frobenius power series correspond to more than one model and, consequently, are unsuitable for drawing any sound physical conclusion. Besides, the prediction of allowed oscillator frequencies is a mere consequence of the truncation condition just mentioned.

Molecular chirality of Macrolide antibiotics

Chirality of macrolide antibiotics (MA) are theoretically analyzed with absorption spectroscopy, electronic circular dichroism (ECD) and Raman optical activity (ROA) spectra. Physical mechanism of optical properties is revealed by the coupling interactions of transition electric dipole moments, transition magnetic dipole moments and transitional electric quadrupole moments. Our results demonstrate that S 3 excited state is of strong linear optical absorption; while S 1 excited state is of strong ECD. The ROA spectra excited with the resonance S 3 electronic transition can well reveal the chirality of MA. Our two dimensional (2D) and three dimensional (3D) visualization analysis methods clearly demonstrate the relationship between vibrational modes of ROA and interactions of electric and magnetic coupling. Our results can visually promote deeper understanding physical mechanism of molecular chirality and extending potential applications on the analysis of molecular chirality.

Quantum coherence and spin nematic to nematic quantum phase transitions in biquadratic spin-1 and spin-2 XY chains with rhombic single-ion anisotropy

We investigate quantum phase transitions and quantum coherence in infinite biquadratic spin-1 and -2 XY chains with rhombic single-ion anisotropy. All considered coherence measures such as the ${l}_{1}$ norm of coherence, the relative entropy of coherence, and the quantum Jensen-Shannon divergence, and the quantum mutual information show consistently that singular behaviors occur for the spin-1 system, which enables to identify quantum phase transitions. For the spin-2 system, the relative entropy of coherence and the quantum mutual information properly detect no singular behavior in the whole system parameter range, while the ${l}_{1}$ norm of coherence and the quantum Jensen-Shannon divergence show a conflicting singular behavior of their first-order derivatives. Examining local magnetic moments and spin quadrupole moments lead to the explicit identification of novel orderings of spin quadrupole moments with zero magnetic moments in the whole parameter space. We find the three uniaxial spin nematic quadrupole phases for the spin-1 system and the two biaxial spin nematic phases for the spin-2 system. For the spin-2 system, the two orthogonal biaxial spin nematic states are connected adiabatically without an explicit phase transition, which can be called quantum crossover. The quantum crossover region is estimated by using the quantum fidelity. Whereas for the spin-1 system, the two discontinuous quantum phase transitions occur between three distinct uniaxial spin nematic phases. We discuss the quantum coherence measures and the quantum mutual information in connection with the quantum phase transitions including the quantum crossover.

Расчет -=SUP=-179-=/SUP=-HfF-=SUP=-+-=/SUP=- для поиска эффектов нарушения пространственной четности и временной инвариантности

For the 3Δ1 electronic state of the 179Hf 19F+ ion the energy shifts of the hyperfine structure sublevels of the ground rotational state due to the interaction of the electron electric dipole moment (eEDM) and magnetic quadrupole moment (MQM) of the 179Hf nucleus with internal electromagnetic field of the cation were calculated. A feature of eEDM and MKM search experiments on 179Hf 19F+ is the use of rotating external fields, which complicates the calculations and makes them more relevant. Experiments need to know energy levels structure in order to populate them, and knowledge of the g-factors of the levels will allow suppressing a number of systematic errors, related with incomplete control of the magnitude of the used magnetic field. Therefore, the corresponding calculations are also were held. Our calculations can be used to plan an experiment with a cation 179HfF+and interpretation of the obtained data.

Comment on: “Quantum aspects of a moving magnetic quadrupole moment interacting with an electric field” [J. Math. Phys. 56, 062107 (2015)

We analyze the results obtained for the quantum dynamics of a moving particle with a magnetic quadrupole moment interacting with electric and magnetic fields. We argue that there are no bound states contrary to what the authors state. It is shown that the proposed method is unsuitable for obtaining all the bound states and that the existence of allowed oscillator frequencies is an artifact of the approach.

Thermodynamic approach to electric quadrupole moments

Higher-rank electric/magnetic multipole moments are attracting attention these days as candidate order parameters for exotic material phases. However, quantum-mechanical formulation of those multipole moments is still an ongoing issue. In this paper, we propose a thermodynamic definition of electric quadrupole moments as a measure of symmetry breaking, following previous studies of orbital magnetic dipole moments and magnetic quadrupole moments. The obtained formulas are illustrated with a model of orbital-ordered nematic phases of iron-based superconductors.

Search for CP-violating nuclear magnetic quadrupole moment using the LuOH+ cation

The time-reversal and spatial parity violating interaction of the nuclear magnetic quadrupole moment (MQM) of the 175Lu and 176Lu nuclei with electrons in the molecular cation LuOH+ is studied. The resulting effect is expressed in terms of fundamental parameters, such as quantum chromodynamics angle θ¯, quark electric dipole moment (EDM), and chromo-EDM. For this, we have estimated the magnetic quadrupole moments of 175Lu and 176Lu nuclei and calculated the molecular constant that characterizes the interaction of the MQM with electrons in the considered molecules. Additionally, we predict the hyperfine structure constants for the ground electronic state of LuOH+. In the molecular calculations, both the correlation and relativistic effects including the Gaunt interaction have been considered. According to the calculated expressions in terms of the fundamental constants, we conclude that LuOH+ can be a promising system to measure the nuclear MQM.

Interaction of the magnetic quadrupole moment of a non-relativistic particle with an electric field in the background of screw dislocations with a rotating frame

In this study, we considered a moving particle with a magnetic quadrupole moment in an elastic medium in the presence of a screw dislocation. We assumed a radial electric field in a rotating frame that leads a uniform effective magnetic field perpendicular to the plane of motion. We solved the Schrödinger equation to derive wave and energy eigenvalue functions by employing analytical methods for two interaction configurations: in the absence of potential and in the presence of a static scalar potential. Due to the topological defect in the medium, we observed a shift in the angular momentum quantum number which affects the energy eigenvalues and the wave function of the system.

Electronic structure parameter of nuclear magnetic quadrupole moment interaction in metal monofluorides.

The electronic structure parameter (WM) of the nuclear magnetic quadrupole moment (MQM) interaction in numerous open-shell metal monofluorides (viz., MgF, CaF, SrF, BaF, RaF, and PbF) is computed in the fully relativistic coupled-cluster framework. The electron-correlation effects are found to be very important for the precise calculation of WM in the studied molecular systems. The molecular MQM interaction parameter scales nearly as Z2 in the alkaline earth metal monofluorides, where Z is the nuclear charge of metal. Our study identifies 223RaF as a good candidate for the experimental search of the nuclear MQM, which can help unravel the physics beyond the standard model in the hadron sector of matter.

Calculation of the energy-level structure of the HfF+ cation to search for parity-nonconservation effects

The energy shifts due to interactions violating time-reversal invariance and parity symmetry, $g$ factors, and energies for the hyperfine levels of the ground rotational level of the $^{3}\mathrm{\ensuremath{\Delta}}_{1}$ electronic state of the $^{177}\mathrm{Hf}^{19}\mathrm{F}^{+}$ ion are calculated as functions of the external electric and magnetic fields. The calculations can be used to plan an experiment to measure the magnetic quadrupole moment of the $^{177}\mathrm{Hf}$ nucleus and to interpret the obtained data.

Reply to “Comment on: ‘Interaction of the magnetic quadrupole moment of a non-relativistic particle with an electric field in a rotating frame. Ann. Phys. 412 (2020) 168040’ ”

Quasinormal modes of black holes were previously calculated in a non-linear electrodynamics and in the Gauss–Bonnet gravity theory. Here we take into consideration both of the above factors and find quasinormal modes of a (massive) scalar field in the background of a black hole in the five-dimensional Einstein–Gauss–Bonnet gravity coupled to a non-linear electrodynamics having Maxwellian weak-field limit. For the non-linear electrodynamics we considered the high frequency (eikonal) regime of oscillations analytically, while for the lower multipoles the higher order WKB analysis with the help of Padé approximants and the time domain integration were used. We found that perturbations of a test scalar field violate the inequality between the damping rate of the least damped mode and the Hawking temperature, known as the Hod’s proposal. This does not exclude the situation in which gravitational spectrum may restore the Hod’s inequality, so that only the analysis of the full spectrum, including gravitational perturbations, will show if the quasinormal modes we found here for the scalar field can be a counterexample to the Hod’s conjecture or not. We also revealed that in such a system, which includes the higher curvature corrections and non-linear electrodynamics, for perturbations of a massive scalar field there exists the phenomenon of the arbitrary long lived quasinormal modes — quasiresonances.

Comment on: “Interaction of the magnetic quadrupole moment of a non-relativistic particle with an electric field in a rotating frame. Ann. Phys. 412 (2020) 168040”

We analyze a recent treatment of the interaction of a magnetic quadrupole moment with a radial electric field for a non-relativistic particle in a rotating frame and show that the derivation of the equations in the paper is anything but rigorous. The authors presented eigenvalues and eigenfunctions for two sets of quantum numbers as if they belonged to the same physical problem when they are solutions for two different models. In addition to it, the authors failed to comment on the possibility of multiple solutions for every set of quantum numbers.

Semiclassical Analysis of the Interaction of the Magnetic Quadrupole Moment of a Neutral Particle with Axial Electric Fields in a Uniformly Rotating Frame

By exploring the hypothesis of magnetic monopoles, we consider the existence of electric fields produced by magnetic current densities. Then, we consider a uniformly rotating frame with the purpose of searching for effects of rotation on the interaction of axial electric fields with the magnetic quadrupole moment of a neutral particle. Our analysis is made through the WKB (Wentzel, Kramers and Brillouin) approximation. Therefore, by applying the WKB approximation, we search for bound state solutions to the Schrodinger equation in two particular cases.

Atomic and molecular transitions induced by axions via oscillating nuclear moments

The interaction of standard model's particles with the axionic Dark Matter field may generate oscillating nuclear electric dipole moments (EDMs), oscillating nuclear Schiff moments and oscillating nuclear magnetic quadrupole moments (MQMs) with a frequency corresponding to the axion's Compton frequency. Within an atom or a molecule an oscillating EDM, Schiff moment or MQM can drive transitions between atomic or molecular states. The excitation events can be detected, for example, via subsequent fluorescence or photoionization. Here we calculate the rates of such transitions. If the nucleus has octupole deformation or quadrupole deformation then the transition rate due to Schiff moment and MQM can be up to $10^{-16}$ transition per molecule per year. In addition, an MQM-induced transition may be of M2-type, which is useful for the elimination of background noise since M2-type transitions are suppressed for photons.

Role of electron correlation in the P,T -odd effects of CdH: A relativistic coupled-cluster investigation

We investigate the parity ($\mathcal{P}$) and time-reversal ($\mathcal{T}$) symmetry violating effects in the CdH molecule and perform the relativistic coupled-cluster calculation of the molecular parameters- $E_\text{eff}$, $W_\text{s}$ and $W_\text{M}$ related to the electric dipole moment of electron (eEDM) interaction, the scalar-pseudoscalar (S-PS) nucleus-electron neutral current coupling and the nuclear magnetic quadrupole moment (MQM) interaction with electrons, respectively. We also compute the molecular dipole moment and the magnetic hyperfine structure coupling constant of CdH. The value of $E_\text{eff}$, $W_\text{s}$ and $W_\text{M}$ obtained by us in the said molecule are 12.2 GV/cm, 14.0 kHz and $0.82\times$10$^{33}$ Hz/e cm$^2$, respectively, within an uncertainty of 10\%. Furthermore, we study the trend of electron-correlation in the computed properties of CdH and that of the $\mathcal{P,T}$-odd parameters in the group-12 monohydrides (i.e., ZnH, CdH, and HgH).

Aharonov-Bohm effect for bound states from the interaction of the magnetic quadrupole moment of a neutral particle with axial fields

The behavior of a neutral particle with magnetic quadrupole moment that interacts with axial magnetic and electric fields is analyzed. From the interaction of the magnetic quadrupole moment with the axial magnetic field, a spectrum of energy analogous to a Coulomb potential in two dimensions is obtained. Furthermore, the presence of an axial electric field is also considered. From the interaction of the magnetic quadrupole moment with this electric field, an analog of the Aharonov-Bohm effect is obtained. Finally, the Aharonov-Bohm effect for bound states is analyzed when this neutral particle system is subject to the two-dimensional harmonic oscillator.

Enhanced P,T-violating nuclear magnetic quadrupole moment effects in laser-coolable molecules.

Nuclear magnetic quadrupole moments (MQMs), such as intrinsic electric dipole moments of elementary particles, violate both parity and time-reversal symmetry and, therefore, probe physics beyond the standard model. We report on accurate relativistic coupled cluster calculations of the nuclear MQM interaction constants in BaF, YbF, BaOH, and YbOH. We elaborate on estimates of the uncertainty of our results. The implications of experiments searching for nonzero nuclear MQMs are discussed.

High-resolution laser resonance ionization spectroscopy of ^{143-147}Pm

We present the results of high-resolution laser spectroscopy of the long-lived radioactive isotopes ^{143-147}Pm. The hyperfine structures and isotope shifts in two different atomic ground-state transitions at 452 nm and 468 nm were probed by in-source laser spectroscopy at the RISIKO mass separator in Mainz, using the PI-LIST ion source. From the hyperfine coupling constants the nuclear magnetic dipole and electric quadrupole moments for ^{143-147}Pm were derived, and the measured isotope shifts allowed the extraction of changes in nuclear mean square charge radii.