Correlations between bulk parameters in relativistic and nonrelativistic hadronic mean-field models

B. M. Santos, M. Dutra, O. Lourenço, and A. Delfino
Phys. Rev. C 92, 015210 – Published 20 July 2015

Abstract

In this work, we study the arising of correlations among some isoscalar (Ko, Qo, and Io) and isovector (J, Lo, Ksymo, Qsymo, and Isymo) bulk parameters in nonrelativistic and relativistic hadronic mean-field models. For the former, we investigate correlations in Skyrme and Gogny parametrizations, as well as in the nonrelativistic (NR) limit of relativistic point-coupling models. We provide analytical correlations among bulk parameters for the NR limit, discussing the conditions in which they are linear ones. Based on a recent study [Santos et al., Phys. Rev. C 90, 035203 (2014)], we also show that some correlations presented in the NR limit are reproduced for relativistic models presenting cubic and quartic self-interactions in the scalar field σ, mostly studied in this work in the context of the relativistic framework. We also discuss how the crossing points, observed in the density dependence of some bulk parameters, can be seen as a signature of linear correlations between the specific bulk quantity presenting the crossing and its immediately next order parameter.

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  • Received 2 March 2015
  • Revised 31 May 2015

DOI:https://doi.org/10.1103/PhysRevC.92.015210

©2015 American Physical Society

Authors & Affiliations

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

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

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Vol. 92, Iss. 1 — July 2015

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