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

Abstract

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.

Authors:
; ;  [1];  [2]
  1. Physics Department, Faculty of Science, University of Zagreb, Croatia, and Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching (Germany)
  2. (Germany)
Publication Date:
OSTI Identifier:
20771331
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 73; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.73.034308; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Niksic, T., Vretenar, D., Ring, P., and Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching. Beyond the relativistic mean-field approximation: Configuration mixing of angular-momentum-projected wave functions. United States: N. p., 2006. Web. doi:10.1103/PhysRevC.73.034308.
Niksic, T., Vretenar, D., Ring, P., & Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching. Beyond the relativistic mean-field approximation: Configuration mixing of angular-momentum-projected wave functions. United States. doi:10.1103/PhysRevC.73.034308.
Niksic, T., Vretenar, D., Ring, P., and Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching. Wed . "Beyond the relativistic mean-field approximation: Configuration mixing of angular-momentum-projected wave functions". United States. doi:10.1103/PhysRevC.73.034308.
@article{osti_20771331,
title = {Beyond the relativistic mean-field approximation: Configuration mixing of angular-momentum-projected wave functions},
author = {Niksic, T. and Vretenar, D. and Ring, P. and Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching},
abstractNote = {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.},
doi = {10.1103/PhysRevC.73.034308},
journal = {Physical Review. C, Nuclear Physics},
number = 3,
volume = 73,
place = {United States},
year = {Wed Mar 15 00:00:00 EST 2006},
month = {Wed Mar 15 00:00:00 EST 2006}
}