Parametrization of the relativistic {sigma}-{omega} model for nuclear matter

We have investigated the zero-temperature equation of state (EoS) for infinite nuclear matter within the {sigma}-{omega} model at all densities n{sub B} and different proton-neutron asymmetry {eta}{identical_to}(N-Z)/A. We have presented an analytical expression for the compression modulus and found...

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Bibliographic Details
Published in:Physical review. C, Nuclear physics Nuclear physics, 2010-08, Vol.82 (2)
Main Authors: Dadi, Anis ben Ali, University of Tunis El Manar, Department of Physics, 1068 Rommana
Format: Article
Language:English
Subjects:
ASYMMETRY
BARYON-BARYON INTERACTIONS
BARYONS
COMPRESSION
COUPLING CONSTANTS
DENSITY
EFFECTIVE MASS
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
EQUATIONS OF STATE
FERMIONS
HADRON-HADRON INTERACTIONS
HADRONS
HYPERONS
INTERACTIONS
ISOSPIN
MASS
MATHEMATICAL MODELS
MATTER
NEUTRONS
NUCLEAR MATTER
NUCLEAR PHYSICS AND RADIATION PHYSICS
NUCLEON-NUCLEON INTERACTIONS
NUCLEONS
OMEGA BARYONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
PROTON-NEUTRON INTERACTIONS
PROTON-NUCLEON INTERACTIONS
PROTONS
RELATIVISTIC RANGE
SATURATION
SIMULATION
STRANGE PARTICLES
STRONG-COUPLING MODEL
SYMMETRY
TEMPERATURE ZERO K
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Summary:We have investigated the zero-temperature equation of state (EoS) for infinite nuclear matter within the {sigma}-{omega} model at all densities n{sub B} and different proton-neutron asymmetry {eta}{identical_to}(N-Z)/A. We have presented an analytical expression for the compression modulus and found that nuclear matter ceases to saturate at {eta} slightly larger than 0.8. Afterward, we have developed an analytical method to determine the strong coupling constants from the EoS for isospin symmetric nuclear matter, which allow us to reproduce all the saturation properties with high accuracy. For various values of the nucleon effective mass and the compression modulus, we have found that the quartic self-coupling constant G{sub 4} is negative, or positive and very large. Furthermore, we have demonstrated that it is possible (a) to investigate the EoS in terms of n{sub B} and {eta}; and (b) to reproduce all the known saturation properties without G{sub 4}. We have thus concluded that the latter is not necessary in the {sigma}-{omega} model.
ISSN:0556-2813
1089-490X
DOI:10.1103/PHYSREVC.82.025203