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Nuclear Theory·nucl-th

Thursday·January 30, 2025

5 papers—3 primary·2 cross-listed

All5Primary3Cross-lists2
  1. 04

    [Submitted on 29 Jan 2025] (cross-list from hep-lat)

    (1405) in the flavor SU(3) limit using a separable potential in the HAL QCD method

    Kotaro Murakami🇯🇵 · Sinya Aoki🇯🇵

    Using the HAL QCD method, we investigate S-wave meson-baryon interactions in singlet and two octet channels in the flavor SU(3) limit, where the chiral unitary model predicts that a combination of bound-state poles in these channels corresponds to . To avoid the singular behavior of the leading-order potentials of these channels in the derivative expansion, we instead employ a separable potential in the time-dependent HAL QCD method. To calculate all-to-all propagators in the three-point correlation functions including -baryon source operators with zero momentum, we employ the conventional stochastic estimation combined with the covariant approximation averaging. Separable potentials both in the singlet and octet channels show attraction without singular behavior. Our results of the corresponding phase shifts indicate that the attractive interaction in the singlet channel is stronger than that in the octet. Binding energies are consistent with the estimates from the two-point correlation function within one (two) sigma for the singlet (octet) channel, and this ordering of binding energies is consistent with the mass hierarchy suggested by the chiral unitary model.

    Comments:
    10 pages, 2 figures, Proceedings of the 41st International Symposium on Lattice Field Theory (LATTICE2024), 28 July - 3 August 2024, Liverpool, UK
    Subjects:
    High Energy Physics — Lattice (hep-lat); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    2501.17423 [pdf]
    PoS(2025)·2 citations
  2. 05

    [Submitted on 29 Jan 2025] (cross-list from hep-ph)

    Particle number diffusion in second-order relativistic dissipative hydrodynamics with momentum-dependent relaxation time

    Sunny Kumar Singh🇮🇳 · Samapan Bhadury🇵🇱 · Manu Kurian🇮🇳 · Vinod Chandra🇮🇳

    This article explores particle number diffusion in relativistic hydrodynamics using kinetic theory with a modified collision kernel that incorporates the momentum dependence of the particle relaxation time. Starting from the Boltzmann equation within the extended relaxation time approximation (ERTA), we derive second-order evolution equations for the dissipative number current and calculate the associated transport coefficients. The sensitivity of transport coefficients to the particle momentum dependence of the collision time scale of the microscopic interactions in the hot QCD medium is analyzed. For a conformal, number-conserving system, we compare the ERTA-modified transport coefficients for particle diffusion with exact results derived from scalar field theory. With an appropriate parameterization of the relaxation time, we demonstrate the consistency of our analysis and assess the degree of agreement of the results with the exact solutions from scalar field theory. The relaxation times for the shear and number diffusion evolution equations are seen to be distinct in general when the momentum dependence of the relaxation time is taken into consideration.

    Comments:
    16 pages, revtex4-2, 1 figure, 1 table, version accepted in Physical Review D
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    2501.17442 [pdf]
    PRD(2025)·6 citations

Affiliations

first authorsco-authorsvia INSPIRE