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Nuclear Theory·nucl-th

Thursday·January 28, 2021

3 papers—3 primary·0 cross-listed

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  1. 01

    [Submitted on 26 Jan 2021]

    Coulomb corrections to two-particle interaction in artificial traps

    Peng Guo🇺🇸

    In present work, we discuss the effect of Coulomb interaction to the dynamics of two-particle system bound in various traps. The strategy of including Coulomb interaction into the quantization condition of trapped system is discussed in a general and non-perturbative manner. In most cases, Coulomb corrections to quantization condition largely rely on numerical approach or perturbation expansion. Only for some special cases, such as the spherical hard wall trap, a closed-form of quantization condition with all orders of Coulomb corrections can be obtained.

    Comments:
    Title changed to Coulomb corrections to two-particle interaction in artificial traps, minor changes in text to match published version
    Subjects:
    Nuclear Theory (nucl-th); High Energy Physics — Lattice (hep-lat); High Energy Physics — Phenomenology (hep-ph)
    arXiv:
    2101.11097 [pdf]
    PRC(2021)·29 citations
  2. 02

    [Submitted on 27 Jan 2021]

    Nucleon-pair coupling scheme in Elliott's SU(3) model

    G. J. Fu🇨🇳 · Calvin W. Johnson🇺🇸 · P. Van Isacker🇫🇷 · Zhongzhou Ren🇨🇳

    Elliott's SU(3) model is at the basis of the shell-model description of rotational motion in atomic nuclei. We demonstrate that SU(3) symmetry can be realized in a truncated shell-model space if constructed in terms of a sufficient number of collective , , , pairs (i.e., with angular momentum zero, two, four, ) and if the structure of the pairs is optimally determined either by a conjugate-gradient minimization method or from a Hartree-Fock intrinsic state. We illustrate the procedure for 6 protons and 6 neutrons in the () shell and exactly reproduce the level energies and electric quadrupole properties of the ground-state rotational band with () pairs. The -pair approximation without significant renormalization, on the other hand, cannot describe the full SU(3) collectivity. A mapping from Elliott's fermionic SU(3) model to systems with , , , bosons provides insight into the existence of a decoupled collective subspace in terms of , , , pairs.

    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    2101.11274 [pdf]
    PRC(2021)·12 citations
  3. 03

    [Submitted on 27 Jan 2021]

    QCD Equation of State at Finite Chemical Potentials for Relativistic Nuclear Collisions

    Akihiko Monnai🇯🇵 · Björn Schenke🇺🇸 · Chun Shen🇺🇸

    We review the equation of state of QCD matter at finite densities. We discuss the construction of the equation of state with net baryon number, electric charge, and strangeness using the results of lattice QCD simulations and hadron resonance gas models. Its application to the hydrodynamic analyses of relativistic nuclear collisions suggests that the interplay of multiple conserved charges is important in the quantitative understanding of the dense nuclear matter created at lower beam energies. Several different models of the QCD equation of state are discussed for comparison.

    Comments:
    32 pages, 13 figures; Preprint of an invited review submitted to International Journal of Modern Physics A
    Subjects:
    Nuclear Theory (nucl-th); High Energy Physics — Phenomenology (hep-ph); Nuclear Experiment (nucl-ex)
    arXiv:
    2101.11591 [pdf]
    Int.J.Mod.Phys.A(2021)·75 citations

Affiliations

first authorsco-authorsvia INSPIRE