Beyond the relativistic mean-field approximation. II. Configuration mixing of mean-field wave functions projected on angular momentum and particle number

Journal Article · Fri Dec 15 00:00:00 EST 2006 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.74.064309· OSTI ID:20864197

Niksic, T; Vretenar, D; Ring, P ^[1]

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1. Physics Department, Faculty of Science, University of Zagreb (Croatia) and Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching (Germany)

The framework of relativistic self-consistent mean-field models is extended to include correlations related to the restoration of broken symmetries and to fluctuations of collective variables. The generator coordinate method is used to perform configuration mixing of angular-momentum and particle-number projected relativistic wave functions. The geometry is restricted to axially symmetric shapes, and the intrinsic wave functions are generated from the solutions of the relativistic mean-field+Lipkin-Nogami BCS equations, with a constraint on the mass quadrupole moment. The model employs a relativistic point-coupling (contact) nucleon-nucleon effective interaction in the particle-hole channel, and a density-independent {delta}-interaction in the pairing channel. Illustrative calculations are performed for {sup 24}Mg, {sup 32}S, and {sup 36}Ar, and compared with results obtained employing the model developed in the first part of this work, i.e., without particle-number projection, as well as with the corresponding nonrelativistic models based on Skyrme and Gogny effective interactions.

• OSTI ID: 20864197
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 74, Issue 6; Other Information: DOI: 10.1103/PhysRevC.74.064309; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
APPROXIMATIONS
ARGON 36
AXIAL SYMMETRY
CONFIGURATION MIXING
CORRELATIONS
COUPLING
FLUCTUATIONS
GENERATOR-COORDINATE METHOD
MAGNESIUM 24
MATHEMATICAL SOLUTIONS
MEAN-FIELD THEORY
NUCLEONS
PARTICLE-HOLE MODEL
QUADRUPOLE MOMENTS
RELATIVISTIC RANGE
SKYRME POTENTIAL
SYMMETRY BREAKING
WAVE FUNCTIONS