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Nuclear Theory·nucl-th

Friday·November 3, 2023

11 papers—4 primary·7 cross-listed

All11Primary4Cross-lists7
  1. 01

    [Submitted on 1 Nov 2023]

    Compiled Properties of Nucleonic Matter and Nuclear and Neutron Star Models from Non-Relativistic and Relativistic Interactions

    Boyang Sun · Saketh Bhattiprolu · James M. Lattimer

    This paper compiles the model parameters and zero-temperature properties of an extensive collection of published theoretical nuclear interactions, including 255 non-relativistic (Skyrme-like) forces, 270 relativistic mean field (RMF) and point-coupling (RMF-PC) forces, and 13 Gogny-like forces. This forms the most exhaustive tabulation of model parameters to date. The properties of uniform symmetric matter and pure neutron matter at the saturation density are determined. Symmetry properties found from the second-order term of a Taylor expansion in neutron excess are compared to the energy difference of pure neutron and symmetric nuclear matter at the saturation density. Selected liquid-droplet model parameters, including the surface tension and surface symmetry energy, are determined for semi-infinite surfaces. Theoretical liquid droplet model neutron skin thicknesses of the neutron-rich closed-shell nuclei Ca and Pb are compared to published theoretical Hartree-Fock and experimental results. A similar comparison is made between theoretical liquid-droplet and experimental values of dipole polarizabilities. In addition, radii, binding energies, moments of inertia and tidal deformabilities of 1.2, 1.4 and 1.6 M neutron stars are computed. An extensive correlation analysis of bulk matter, nuclear structure, and low-mass neutron star properties is performed and compared to nuclear experiments and astrophysical observations.

    Comments:
    75 pages, 18 figures
    Subjects:
    Nuclear Theory (nucl-th); High Energy Astrophysical Phenomena (astro-ph.HE)
    arXiv:
    2311.00843 [pdf]
    PRC(2024)·45 citations
  2. 02

    [Submitted on 2 Nov 2023]

    Barrier penetration in a discrete basis formalism

    K. Hagino

    A standard way to solve a Schrödinger equation is to discreteize the radial coordinates and apply a numerical method for a differential equation, such as the Runge-Kutta method or the Numerov method. Here I employ a discrete basis formalism based on a finite mesh method as a simpler alternative, with which the numerical computation can be easily implemented by ordinary linear algebra operations. I compare the numerical convergence of the Numerov integration method to the finite mesh method for calculating penetrabilities of a one-dimensional potential barrier, and show that the latter approach has better convergence properties.

    Comments:
    3 pages, 1 figure
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    2311.00925 [pdf]
    0 citations
  3. 03

    [Submitted on 2 Nov 2023]

    Study of bulk properties of the system formed in U+U collisions at =~2.12~GeV using JAM model

    Aswini Kumar Sahoo🇮🇳 · Xionghong He🇨🇳 · Yasushi Nara🇯🇵 · Subhash Singha🇨🇳

    The Lanzhou Cooling-Storage-Ring facility is set to conduct experiments involving Uranium-Uranium collisions at the center of mass energies ranging from 2.12 to 2.4 GeV. Our investigation is focused on various bulk observables, which include charged particle multiplicity (), average transverse momentum (), initial eccentricity (), and flow harmonics (), for different orientations of U+U collisions within the range of at GeV ( = 500 MeV). Among the various collision configurations at this energy, the tip-tip scenario emerged with the highest average charged particle multiplicity, denoted as . Notably, both the second and third-order eccentricities, , revealed intricate patterns as they varied with impact parameter across distinct configurations. The tip-tip configuration displayed the most pronounced magnitude of rapidity-odd directed flow (), whereas the body-body configuration exhibited the least pronounced magnitude. Concerning elliptic flow () near mid-rapidity (), a negative sign is observed for all configurations except for the side-side exhibited a distinctly positive sign. Within the spectrum of configurations, the body-body scenario displayed the highest magnitude of . For reaction plane correlated triangular flow (), the body-body configuration emerged with the largest magnitude while the side-side exhibited the smallest magnitude. Our study seeks to establish a fundamental understanding of various U+U collision configurations in preparation for the forthcoming CEE experiment.

    Subjects:
    Nuclear Theory (nucl-th); High Energy Physics — Experiment (hep-ex); Nuclear Experiment (nucl-ex)
    arXiv:
    2311.00946 [pdf]
    PRC(2024)·2 citations
  4. 04

    [Submitted on 2 Nov 2023]

    Polarization effects in elastic deuteron-electron scattering

    G. I. Gakh🇺🇦 · M.I. Konchatni🇺🇦 · N.P. Merenkov🇺🇦 · E. Tomasi-Gustafsson🇫🇷 · A. G. Gakh🇺🇦

    The differential cross section and polarization observables for the elastic reaction induced by deuteron scattering off electrons at rest are calculated in the one-photon-exchange (Born) approximation. Specific attention is given to the kinematical conditions, that is, to the specific range of incident energy and transferred momentum. The specific interest of this reaction is to access very small transferred momenta. Numerical estimates are given for polarization observables that describe the of single- and double-spin effects, provided that the polarization components (both, vector and tensor) of each particle in the reaction are determined in the rest frame of the electron target.

    Comments:
    39 pages 11 figures, AddedvAcknowledgment section
    Subjects:
    Nuclear Theory (nucl-th); High Energy Physics — Phenomenology (hep-ph)
    arXiv:
    2311.01102 [pdf]
    PRC(2024)·1 citation

Affiliations

first authorsco-authorsvia INSPIRE