In-medium nuclear cluster energies within the extended Thomas-Fermi approach

François Aymard, Francesca Gulminelli, and Jérôme Margueron
Phys. Rev. C 89, 065807 – Published 30 June 2014

Abstract

A recently introduced analytical model for the nuclear density profile [P. Papakonstantinou, J. Margueron, F. Gulminelli, and Ad. R. Raduta, Phys. Rev. C 88, 045805 (2013)] is implemented in the extended Thomas-Fermi energy density functional. This allows us to (i) shed a new light on the issue of the sign of surface symmetry energy in nuclear mass formulas, which is strongly related to the nonuniformity of the isospin asymmetry in finite nuclei, as well as to (ii) evaluate the in-medium corrections to the nuclear cluster energies in thermodynamic conditions relevant for the description of the (proto)neutron star crust. The ground-state configurations of the model are compared to Hartree-Fock calculations in spherical symmetry for some selected isotopic chains, and systematic errors are quantified. The in-medium modification of the nuclear mass due to the presence of a gas component is shown to strongly depend both on the density and the asymmetry of the nucleon gas. This shows the importance of accounting for such effects in the realistic modelizations of the equation of state for core-collapse supernovae and protoneutron stars.

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  • Received 11 April 2014

DOI:https://doi.org/10.1103/PhysRevC.89.065807

©2014 American Physical Society

Authors & Affiliations

François Aymard1, Francesca Gulminelli1, and Jérôme Margueron2,3

  • 1CNRS and ENSICAEN, UMR6534, LPC, 14050 Caen Cedex, France
  • 2Institut de Physique Nucléaire de Lyon, Université Claude Bernard Lyon 1, F-69622 Villeurbanne Cedex, France
  • 3IN2P3-CNRS, F-69622 Villeurbanne Cedex, France

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Issue

Vol. 89, Iss. 6 — June 2014

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