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Nuclear Theory·nucl-th

Wednesday·August 23, 2023

9 papers—6 primary·3 cross-listed

All9Primary6Cross-lists3
  1. 07

    [Submitted on 21 Aug 2023] (cross-list from physics.atom-ph)

    On scattering problem off the potential, decreasing as inverse square of distance

    V. A. Gradusov · S. L. Yakovlev

    A solution of the scattering problem is obtained for the Schrödinger equation with the potential of induced dipole interaction, which decreases as the inverse square of the distance. Such a potential arises in the collision of an incident charged particle with a complex of charged particles (for example, in the collision of electrons with atoms). For the wave function, an integral equation is constructed for an arbitrary value of the orbital momentum of relative motion. By solving this equation, an exact integral representation for the -matrix of the problem is obtained in terms of the wave function. This representation is used to analyze the behavior of the -matrix at low energies and to obtain comprehensive information on its threshold behavior for various values of the dipole momentum. The resulting solution is applied to study the behavior of the scattering cross sections in the electron, positron and antiproton system.

    Comments:
    15 pages, 2 figures
    Subjects:
    Atomic Physics (physics.atom-ph); Mathematical Physics (math-ph); math.MP (math.MP); Nuclear Theory (nucl-th)
    arXiv:
    2308.11012 [pdf]
    Theor.Math.Phys.(2023)·2 citations
  2. 08

    [Submitted on 22 Aug 2023] (cross-list from hep-ph)

    AdS/CFT and the Double-Copy: A Unified Perspective Across Various Phenomenological Models

    Jia-rui Guo🇨🇳

    This study utilizes theoretical tools including the double copy relation and AdS/CFT correspondence. Applying analogies, we establish a system to discuss the associations and equivalence relations among QCD, QED, and various (mixed) gauge field theory based quantum many-body effective models. By employing mathematical techniques on the background spacetime, these relations are extended to extreme regimes while ensuring model independence.

    Comments:
    22 pages
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    2308.11418 [pdf]
    0 citations
  3. 09

    [Submitted on 22 Aug 2023] (cross-list from astro-ph.HE)

    Universality in quasinormal modes of neutron stars with quark-hadron crossover

    Hajime Sotani🇯🇵 · Toru Kojo🇯🇵

    We examine the gravitational wave frequencies of the fundamental (-) and 1st pressure (-) modes excited in the neutron star models constructed with the quark-hadron crossover (QHC) type equations of state (EOS). We find that the -mode frequencies with QHC EOS basically are smaller and the -mode frequencies with QHC EOS are larger than those with hadronic EOS, focusing on the neutron star model with a fixed mass. We also find that the universality in the -mode frequencies multiplied by the stellar mass as a function of the stellar compactness or as a function of the dimensionless tidal deformability, which is derived with various hadronic EOSs, can keep even with QHC EOS. That is, using these universal relations, one cannot distinguish QHC EOS from hadronic EOSs. Instead, using the relations one can extract the stellar radii whose evolution from low to high mass neutron stars can differentiate QHC from hadronic EOSs. On the other hand, we find that the -mode frequencies multiplied by the stellar mass with QHC EOS significantly deviate in a certain mass range from the corresponding empirical relations derived with various hadronic EOSs, with which one may distinguish QHC EOS from hadronic EOSs.

    Comments:
    Accepted for publication in RPD
    Subjects:
    High Energy Astrophysical Phenomena (astro-ph.HE); Nuclear Theory (nucl-th)
    arXiv:
    2308.11494 [pdf]
    PRD(2023)·12 citations

Affiliations

first authorsco-authorsvia INSPIRE