Beyond the relativistic mean-field approximation: Configuration mixing of angular-momentum-projected wave functions

Journal Article · Wed Mar 15 00:00:00 EST 2006 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.73.034308· OSTI ID:20771331

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)

We report the first study of restoration of rotational symmetry and fluctuations of the quadrupole deformation in the framework of relativistic mean-field models. A model is developed that uses the generator coordinate method to perform configuration mixing calculations of angular-momentum-projected wave functions, calculated in a relativistic point-coupling model. The geometry is restricted to axially symmetric shapes, and the intrinsic wave functions are generated from the solutions of the constrained relativistic mean-field + BCS equations in an axially deformed oscillator basis. A number of illustrative calculations are performed for the nuclei {sup 194}Hg and {sup 32}Mg, in comparison with results obtained in nonrelativistic models based on Skyrme and Gogny effective interactions.

• OSTI ID: 20771331
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 73, Issue 3; Other Information: DOI: 10.1103/PhysRevC.73.034308; (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
AXIAL SYMMETRY
COMPARATIVE EVALUATIONS
CONFIGURATION MIXING
COUPLING
FLUCTUATIONS
GENERATOR-COORDINATE METHOD
GEOMETRY
MAGNESIUM 32
MATHEMATICAL SOLUTIONS
MEAN-FIELD THEORY
MERCURY 194
NUCLEAR DEFORMATION
OSCILLATORS
QUADRUPOLES
RELATIVISTIC RANGE
SKYRME POTENTIAL
WAVE FUNCTIONS