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Nuclear Theory·nucl-th

Tuesday·October 17, 2023

14 papers—7 primary·7 cross-listed

All14Primary7Cross-lists7
  1. 01

    Bounds on the Equation of State from QCD Inequalities and Lattice QCD

    Yuki Fujimoto🇺🇸 · Sanjay Reddy🇺🇸

    We derive robust bounds on the equation of state (EoS) at finite baryon chemical potential using QCD inequalities and input from recent lattice-QCD calculations of thermodynamic properties of matter at nonzero isospin chemical potential. We use lattice data to deduce an upper bound on the baryon density of the symmetric nuclear matter at a given baryon chemical potential and a lower bound on the pressure as a function of the energy density. We also use constraints from perturbative calculations of the QCD EoS at high density derived in earlier work and causality to delineate robust bounds on the EoS of isospin symmetric matter at densities relevant to heavy-ion collisions.

    nucl-thhep-lathep-phPRD(2024)·31 citations
  2. 02

    Accuracy of the mean-field theory in describing ground-state properties of light nuclei

    Yu-Ting Rong

    The relativistic mean-field model, augmented with three types of center-of-mass corrections and two types of rotational corrections, is employed to investigate the ground-state properties of helium, beryllium, and carbon isotopes. The efficacy of the mean-field approach in describing the binding energies, quadrupole deformations, root-mean-square charge radii, root-mean-square matter radii, and neutron skins of these light nuclei is evaluated. By averaging the binding energies obtained from six selected effective interactions, a mass-dependent behavior of the mean-field approximation is elucidated. The findings from radii reveal that, unlike in heavy nuclei, the exchange terms of the center-of-mass correction play an indispensable role in accurately describing the radii of light nuclei. The mean-field approximation, when augmented with center-of-mass and rotational corrections, effectively reproduces the energies and radii of light nuclei. However, due to the absence of many-body correlations between valence neutrons, the mean-field approximation falls short in describing the deformations and shell evolutions of the helium and beryllium isotopic chains.

    nucl-thPRC(2023)·12 citations
  3. 03

    Microscopic derivation of transition-state theory for complex quantum systems

    K. Hagino · G.F. Bertsch

    The decay of quantum complex systems through a potential barrier is often described with transition-state theory, also known as RRKM theory in chemistry. Here we derive the basic formula for transition-state theory based on a generic Hamiltonian as might be constructed in a configuration-interaction basis. Two reservoirs of random Hamiltonians from Gaussian orthogonal ensembles are coupled to intermediate states representing the transition states at a barrier. Under the condition that the decay of the reservoirs to open channels is large, an analytic formula for reaction rates is derived. The transition states act as independent Breit-Wigner resonances which contribute additively to the total transition probability, as is well known for electronic conductance through resonant tunneling states. It is also found that the transition probability is independent of the decay properties of the states in the second reservoir over a wide range of decay widths.

    nucl-thcond-mat.stat-mechphysics.chem-phquant-phJ.Phys.Soc.Jap.(2024)·5 citations
  4. 04

    The extraction of higher-order radial moments of nuclear charge density from muonic atom spectroscopy

    Hui Hui Xie · Jian Li · Haozhao Liang

    Muonic atom transitions have been measured for almost all stable nuclei to extract nuclear structure properties, including nuclear charge radii and quadrupole moment. To investigate the possibilities of extracting higher-order radial moments of nuclear charge density %what kind of information of nuclear charge distribution can be extracted precisely from muonic atom spectroscopy, a theory-to-theory benchmark analysis based on a model-independent density distribution, i.e., the Fourier-Bessel series expansion instead of two-parameter Fermi distribution, is performed by taking Pb as an example, where nuclear charge density obtained from the relativistic continuum Hartree-Bogoliubov calculation is used as the benchmark. It is found that the extractions of the higher-order moments, i.e., the fourth and sixth moments in addition to the second moment are feasible with high accuracy. Moreover, the charge form factor in the low- region can also be well extracted.

    nucl-thPRC(2024)·6 citations
  5. 05

    Triaxiality dynamics of quadrupole excitation in even-even heavy nuclei

    M. S. Nadirbekov · O.A. Bozarov · S.N. Kudiratov

    In the framework free triaxiality model branching ratio reduced E2-transitions probabilities are studied for the full region changes of the triaxiality parameter. The variables of quadrupole deformations and are dynamic. The Davidson potential for and variables was being used. In the free triaxiality model the energy levels was being obtained by taking into account the high-order terms of the rotational energy operator series, which leads energy levels of ground-state-band, - and -bands to improve considerably the agreement of the results with experimental data. The quadrupole moment of the nucleus expressed in terms of two internal quadrupole moments: is quadrupole moment about the symmetry axis, is the measure of the shape asymmetry about the symmetry axis. The intra/inter-band reduced E2-transition probabilities ground-state-band, - and -bands are being presented and are being expressed in terms of four parameters: , , and . The influence of -oscillations to the reduced probabilities of E2-transitions takes into account are numerically. The sensitivity of the intra-/inter-band reduced E2-transition probabilities to the triaxiality parameter was analyzed.

    nucl-thIJMPE(2024)·1 citation
  6. 06

    The effect of electric and chiral magnetic conductivities on azimuthally fluctuating electromagnetic fields and observables in isobar collisions

    Irfan Siddique🇨🇳 · Uzma Tabassam🇵🇰

    We study the space-time evolution of electromagnetic fields along with the azimuthal fluctuations of these fields and their correlation with the initial matter geometry specified by the participant plane in the presence of finite electric and chiral magnetic conductivities in Ru+Ru and Zr+Zr collisions at GeV. We observe the partially asymmetric behavior of the spatial distributions of the electric and magnetic fields in a conducting medium when compared to the Lienard-Wiechert (L-W) solutions, and deceleration of the decay of the fields is observed in both isobar collisions. While studying the correlation between the magnetic field direction and the participant plane, we see the sizeable suppression of the correlation in the presence of finite conductivities when compared to the L-W case, reflecting the importance of taking into account the medium properties such as conductivities while calculating the magnetic field induced observable quantities.

    nucl-thhep-thPRC(2024)·3 citations
  7. 07

    The and correlation functions

    A. Kievsky · E. Garrido · M. Viviani · L.E. Marcucci · L. Serksnyte · R. Del Grande

    Scattering experiments with three free nucleons in the ingoing channel are extremely challenging in terrestrial laboratories. Recently, the ALICE Collaboration has successfully measured the scattering of three protons indirectly, by using the femtoscopy method in high-energy proton-proton collisions at the Large Hadron Collider. In order to establish a connection with current and future measurements of femtoscopic three-particle correlation functions, we analyse the scenarios involving and systems using the hyperspherical adiabatic basis. The correlation function is a convolution of the source function and the corresponding scattering wave function. The finite size of the source allows for the use of the free scattering wave function in most of the adiabatic channels except the lowest ones. The scattering wave function has been computed using two different potential models: a spin-dependent Gaussian potential with parameters fixed to reproduce the scattering length and effective range and the Argonne nucleon-nucleon interaction. Moreover, in the case of three protons, the Coulomb interaction has been considered in its hypercentral form. The results presented here have to be considered as a first step in the description of three-particle correlation functions using the hyperspherical adiabatic basis, opening the door to the investigation of other systems, such as the system. For completeness, the comparison with the measurement by the ALICE Collaboration is shown assuming different values of the source radius.

    nucl-thnucl-exPRC(2024)·16 citations

Affiliations

first authorsco-authorsvia INSPIRE