Nonrelativistic limit of point-coupling model

Anto Sulaksono, T. J. Bürvenich, P. O. Hess, J. A. Maruhn

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1 Citation (Scopus)

Abstract

The nonrelativistic reduction of the realistic relativistic point-coupling model is performed. The necessity to introduce the nonderivative tensor term is shown. Unfortunately a Galilean-invariant nonrelativistic Hamiltonian density could not be obtained from all terms of the point-coupling model. This fact is due to the nonrelativistic limit of the nonderivative tensor terms which are not Galilean invariant terms in its nonrelativistic forms. The result is compared with that of Skyrme-Hartree-Fock. The role of tensor and nonlinear terms and the average values of the constants in the energy functional of both models are compared and discussed. The nonrelativistic forms of a four-fermion point-coupling model using Hartree and Hartree-Fock approximations are also compared and discussed.

Original languageEnglish
Pages (from-to)139-163
Number of pages25
JournalInternational Journal of Modern Physics E
Volume20
Issue number1
DOIs
Publication statusPublished - 1 Jan 2011

Keywords

  • Galilean invariant
  • Nonrelativistic limit
  • mean-field models

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