Elimination of the vacuum instability for finite nuclei in the relativistic {sigma}-{omega} model

Journal Article · Tue Apr 01 04:00:00 EST 1997 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.55.1767· OSTI ID:544243

Caro, J; Arriola, E R; Salcedo, L L ^[1]; Caro, J; Salcedo, L L ^[2]

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1. Departamento de Fisica Moderna, Universidad de Granada, E-18071 Granada (Spain)
2. Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

The {sigma}-{omega} model of nuclei is studied at leading order in the 1/N expansion thereby introducing the self-consistent Hartree approximation, the Dirac sea corrections and the one fermion loop meson self-energies in a unified way. For simplicity, the Dirac sea is further treated within a semiclassical expansion to all orders. The well-known Landau pole vacuum instability appearing in this kind of theory is removed by means of a scheme recently proposed in this context. The effect of such a removal on the low momentum effective parameters of the model, relevant to describe nuclear matter, finite nuclei, and NN force, is analyzed. The one fermion loop meson self-energies are found to have a sizeable contribution to these parameters. However, such contribution turns out to come mostly from the Landau poles and is thus spurious. We conclude that the fermionic loop can only be introduced consistently in the {sigma}-{omega} nuclear model if the Landau pole problem is dealt with properly. We comment on the possibility of a nonperturbative formulation of the model. {copyright} {ital 1997} {ital The American Physical Society}

• DOE Contract Number: FC02-94ER40818
• OSTI ID: 544243
• Journal Information: Physical Review, C, Journal Name: Physical Review, C Journal Issue: 4 Vol. 55; ISSN PRVCAN; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
EXPANSION
FERMIONS
HARTREE-FOCK METHOD
INSTABILITY
MESONS
NUCLEAR FORCES
NUCLEAR MATTER
NUCLEAR STRUCTURE
QUANTUM FIELD THEORY
RELATIVISTIC RANGE
SELF-CONSISTENT FIELD
SELF-ENERGY
SEMICLASSICAL APPROXIMATION
SIGMA MODEL