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Nuclear Theory·nucl-th

Wednesday·May 14, 2025

4 papers—2 primary·2 cross-listed

All4Primary2Cross-lists2
  1. 01

    [Submitted on 12 May 2025]

    Influence of effective interactions and nuclear densities on the dynamics of heavy-ion fusion

    Shilpa Rana · Raj Kumar · M. Bhuyan

    The study aims to explore the mechanism of heavy-ion fusion using various effective nucleon-nucleon (NN) interactions and nuclear density distributions. The nuclear potentials are obtained by folding the relativistic effective NN interaction (R3Y) with densities derived from the relativistic mean-field (RMF) approach. The RMF formalism with the NL3 parameter set and the relativistic-Hartree-Bogoliubov (RHB) approach with the DDME2 parameter set are used to obtain the medium-independent R3Y and density-dependent R3Y (DDR3Y) NN potentials. The results of these relativistic interactions are compared with the Reid and Paris M3Y NN interactions and their density-dependent versions. Nuclear potentials are used to calculate the fusion barrier characteristics and cross-sections within the -summed Wong model for O+Sm, Ca+Pb, O+Sm, and Ca+U reactions. The relativistic R3Y and DDR3Y NN potentials provide higher cross-sections than both the Reid and Paris versions. The inclusion of in-medium effects in all interactions results in more repulsive potentials, leading to higher fusion barriers and reduced cross-sections. The impact of nuclear shape degrees of freedom is included for O+Sm and Ca+U reactions involving deformed targets. Results using RMF-NL3 densities are also compared with those from the two-parameter Fermi (2pF) formula for O+Sm, showing higher cross-sections with RMF densities. A comparison of calculated cross-sections with experimental data shows that the R3Y NN potential with RMF-NL3 densities provides good agreement for reactions involving both spherical and deformed nuclei.

    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    2505.08019 [pdf]
    PRC(2025)·2 citations
  2. 02

    [Submitted on 13 May 2025]

    On the role of pairing correlations in calculation of \b{eta}-decay half-lives within QRPA formalism

    Jameel-Un Nabi · Mavra Ishfaq

    In this paper we show that the proton-neutron residual interaction can play an important role in the reliability of calculated -decay half-lives. It may also improve the prediction power of the quasiparticle random phase approximation (QRPA) model. We further demonstrate that a reasonable choice of the particle-particle (attractive) and particle-hole force (repulsive) parameters can result in calculated half-lives in very good comparison with the measured ones. Pairing gaps have affect on calculated half-lives which we explore in this paper. We present our half-lives calculation using the proton-neutron QRPA (pn-QRPA) model possessing a multi-shell single-particle deformed space including a schematic interaction for some medium mass neutron-deficient nuclei undergoing /EC decay. Our study shows a better agreement with the available experimental data as compared to former calculations.

    Comments:
    21 Pages, 4 Tables, 2 Figures,
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    2505.08509 [pdf]
    New Astron.(2020)·1 citation
  3. 03

    [Submitted on 12 May 2025] (cross-list from hep-ph)

    Dynamical Up-quark Mass Generation in QCD-like theories

    Csaba Csáki🇺🇸 · Tuhin S. Roy🇮🇳 · Maximilian Ruhdorfer🇺🇸 · Taewook Youn🇺🇸

    We calculate the dynamically generated up quark mass in some QCD-like theories with light flavors, obtained from supersymmetric QCD perturbed via anomaly mediated supersymmetry breaking. We match the low-energy effective theory to the traditional chiral Lagrangian of QCD and determine the coefficients to next-to-leading order in chiral perturbation theory, while also varying the number of colors . We find that the dynamically generated up quark mass vanishes in the large limit, and is small for , however for there is a sizeable contribution. While our results are reliable only for small supersymmetry breaking, we observe that extrapolating the result to large supersymmetry breaking would lead to a dynamical up quark mass that is large enough to account for its entire physical mass.

    Comments:
    7 pages, 1 figure
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    2505.07953 [pdf]
    PRD(2026)·2 citations
  4. 04

    [Submitted on 13 May 2025] (cross-list from quant-ph)

    An algebraic solution of Dirac equation on a static curved space-time

    M. Salazar-Ramíreza · R. D. Motab · D. Ojeda-Guillén · A. González-Cisneros

    We present exact solutions of the Dirac equation in static curved space-time using two distinct algebraic approaches. The first method employs algebra operators together with the tilting transformation, enabling the derivation of the energy spectrum and eigenfunctions for both the Hydrogen atom and the Dirac-Morse oscillator. The second approach, based on the Schrödinger factorization method, extends the analysis to three representative potentials: the hydrogen atom, the Dirac-Morse oscillator, and a linear radial potential. Although structurally different from those obtained in the first method, the resulting operators in this approach also close the algebra and, through representation theory, yield the corresponding energy spectra and eigenfunctions.

    Comments:
    17 pages, 31 references
    Subjects:
    Quantum Physics (quant-ph); Nuclear Theory (nucl-th); Atomic Physics (physics.atom-ph)
    arXiv:
    2505.08726 [pdf]
    Mod.Phys.Lett.A(2025)·0 citations

Affiliations

first authorsco-authorsvia INSPIRE