Nonrelativistic approaches derived from point-coupling relativistic models

Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.81.038201· OSTI ID:21386726

Lourenco, O; Dutra, M; Delfino, A; Sa Martins, J S ^[1]

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1. Departamento de Fisica, Universidade Federal Fluminense, Avenida Litoranea s/n, 24210-150 Boa Viagem, Niteroi RJ (Brazil)

We construct nonrelativistic versions of relativistic nonlinear hadronic point-coupling models, based on new normalized spinor wave functions after small component reduction. These expansions give us energy density functionals that can be compared to their relativistic counterparts. We show that the agreement between the nonrelativistic limit approach and the Skyrme parametrizations becomes strongly dependent on the incompressibility of each model. We also show that the particular case A=B=0 (Walecka model) leads to the same energy density functional of the Skyrme parametrizations SV and ZR2, while the truncation scheme, up to order {rho}{sup 3}, leads to parametrizations for which {sigma}=1.

• OSTI ID: 21386726
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 81, Issue 3; Other Information: DOI: 10.1103/PhysRevC.81.038201; (c) 2010 The American Physical Society; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COUPLING
ENERGY DENSITY
EXPANSION
HADRONS
NONLINEAR PROBLEMS
REDUCTION
RELATIVISTIC RANGE
SIMULATION
SKYRME POTENTIAL
WALECKA MODEL
WAVE FUNCTIONS
CHEMICAL REACTIONS
ELEMENTARY PARTICLES
ENERGY RANGE
FUNCTIONS
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEON-NUCLEON POTENTIAL
POTENTIALS