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Nuclear Theory·nucl-th

Wednesday·September 8, 2021

6 papers—2 primary·4 cross-listed

All6Primary2Cross-lists4
  1. 01

    [Submitted on 7 Sept 2021]

    Effective Range Expansion for Describing a Virtual State

    C. Wibisono

    I present numerical study of an elastic scattering by solving second order differential equations of Schroedinger Equation for some types of central potential (eg. square well, Yukawa, and Woods-Saxon) to find the wave function inside the potential, and extending the solution with the region outside the range of potential. The wave function outside the range of potential can be expanded in terms of spherical bessel and neumann function. At the boundary, logarithmic derivative is found which becomes a base to compute the phase shift. Once we have a phase shift, the scattering amplitude can then be expanded in terms of polynomial legendre, and the differential cross section can be deduced. Furthermore, the scattering at low energies is studied and the connection to the effective range expansion is discussed to determine the scattering length and effective radius. The signature of the virtual state from the scattering of neutron from nucleons are found for each potential and the energies are best described by the inclusion of the in the effective range expansion.

    Comments:
    This submission has been removed by arXiv administrators as the submitter did not have the authority to assign a license at the time of submission
    Subjects:
    Nuclear Theory (nucl-th); Quantum Physics (quant-ph)
    arXiv:
    2109.02850 [pdf]
    0 citations
  2. 02

    [Submitted on 7 Sept 2021]

    Binding energy shifts from heavy-ion experiments in a nuclear statistical equilibrium model

    S. Mallik🇮🇳 · H. Pais🇵🇹 · F. Gulminelli🇫🇷

    Chemical constants extracted from Xe+ Sn collisions at 32 AMeV are compared to the predictions of an extended Nuclear Statistical Equilibrium model including mean-field interactions and in-medium binding energy shifts for the light () clusters. The ion species and density dependence of the in-medium modification is directly extracted from the experimental data. We show that the shift increases with the mass of the cluster and the density of the medium, and we provide a simple linear fit for future use in astrophysical simulations in the framework of the CompOSE data base. The resulting mass fractions are computed in representative thermodynamic conditions relevant for supernova and neutron star mergers. A comparison to the results of a similar analysis of the same data performed in the framework of a relativistic mean-field model shows a good agreement at low density, but significant discrepancies close to the Mott dissolution of clusters in the dense medium.

    Comments:
    7 pages, 4 figures
    Subjects:
    Nuclear Theory (nucl-th); Solar and Stellar Astrophysics (astro-ph.SR); Nuclear Experiment (nucl-ex)
    arXiv:
    2109.02961 [pdf]
    EPJA(2021)·2 citations

Affiliations

first authorsco-authorsvia INSPIRE