Correlations between the nuclear matter symmetry energy, its slope, and curvature from a nonrelativistic solvable approach and beyond

B. M. Santos, M. Dutra, O. Lourenço, and A. Delfino
Phys. Rev. C 90, 035203 – Published 15 September 2014

Abstract

By using point-coupling versions of finite-range nuclear relativistic mean-field models containing cubic and quartic self-interactions in the scalar field σ, a nonrelativistic limit is achieved. This approach allows an analytical expression for the symmetry energy (J) as a function of its slope (L) in a unified form, namely, L=3J+f(m*,ρo,Bo,Ko), where the quantities m*,ρo,Bo, and Ko are bulk parameters at the nuclear matter saturation density ρo. This result establishes a linear correlation between L and J which is reinforced by exact relativistic calculations. An analogous analytical correlation is also found for J,L, and the symmetry energy curvature (Ksym). Based on these results, we propose graphic constraints in L×J and Ksym×L planes that finite-range models must satisfy.

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  • Received 26 May 2014
  • Revised 28 July 2014

DOI:https://doi.org/10.1103/PhysRevC.90.035203

©2014 American Physical Society

Authors & Affiliations

B. M. Santos1, M. Dutra2, O. Lourenço3, and A. Delfino1

  • 1Instituto de Física, Universidade Federal Fluminense, 24210-150 Niterói, RJ, Brazil
  • 2Departamento de Física e Matemática—ICT, Universidade Federal Fluminense, 28895-532 Rio das Ostras, RJ, Brazil
  • 3Departamento de Ciências da Natureza, Matemática e Educação, CCA, Universidade Federal de São Carlos, 13600-970 Araras, SP, Brazil

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Vol. 90, Iss. 3 — September 2014

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