Beyond the relativistic meanfield approximation: Configuration mixing of angularmomentumprojected wave functions
Abstract
We report the first study of restoration of rotational symmetry and fluctuations of the quadrupole deformation in the framework of relativistic meanfield models. A model is developed that uses the generator coordinate method to perform configuration mixing calculations of angularmomentumprojected wave functions, calculated in a relativistic pointcoupling model. The geometry is restricted to axially symmetric shapes, and the intrinsic wave functions are generated from the solutions of the constrained relativistic meanfield + 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:
 Physics Department, Faculty of Science, University of Zagreb, Croatia, and PhysikDepartment der Technischen Universitaet Muenchen, D85748 Garching (Germany)
 (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; GENERATORCOORDINATE METHOD; GEOMETRY; MAGNESIUM 32; MATHEMATICAL SOLUTIONS; MEANFIELD THEORY; MERCURY 194; NUCLEAR DEFORMATION; OSCILLATORS; QUADRUPOLES; RELATIVISTIC RANGE; SKYRME POTENTIAL; WAVE FUNCTIONS
Citation Formats
Niksic, T., Vretenar, D., Ring, P., and PhysikDepartment der Technischen Universitaet Muenchen, D85748 Garching. Beyond the relativistic meanfield approximation: Configuration mixing of angularmomentumprojected wave functions. United States: N. p., 2006.
Web. doi:10.1103/PhysRevC.73.034308.
Niksic, T., Vretenar, D., Ring, P., & PhysikDepartment der Technischen Universitaet Muenchen, D85748 Garching. Beyond the relativistic meanfield approximation: Configuration mixing of angularmomentumprojected wave functions. United States. doi:10.1103/PhysRevC.73.034308.
Niksic, T., Vretenar, D., Ring, P., and PhysikDepartment der Technischen Universitaet Muenchen, D85748 Garching. Wed .
"Beyond the relativistic meanfield approximation: Configuration mixing of angularmomentumprojected wave functions". United States.
doi:10.1103/PhysRevC.73.034308.
@article{osti_20771331,
title = {Beyond the relativistic meanfield approximation: Configuration mixing of angularmomentumprojected wave functions},
author = {Niksic, T. and Vretenar, D. and Ring, P. and PhysikDepartment der Technischen Universitaet Muenchen, D85748 Garching},
abstractNote = {We report the first study of restoration of rotational symmetry and fluctuations of the quadrupole deformation in the framework of relativistic meanfield models. A model is developed that uses the generator coordinate method to perform configuration mixing calculations of angularmomentumprojected wave functions, calculated in a relativistic pointcoupling model. The geometry is restricted to axially symmetric shapes, and the intrinsic wave functions are generated from the solutions of the constrained relativistic meanfield + 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}
}

The framework of relativistic selfconsistent meanfield 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 angularmomentum and particlenumber 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 meanfield+LipkinNogami BCS equations, with a constraint on the mass quadrupole moment. The model employs a relativistic pointcoupling (contact) nucleonnucleon effective interaction in the particlehole channel, and a densityindependent {delta}interaction in the pairing channel. Illustrative calculations aremore »

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Configuration mixing of angularmomentumprojected triaxial relativistic meanfield wave functions. II. Microscopic analysis of lowlying states in magnesium isotopes
The recently developed structure model that uses the generator coordinate method to perform configuration mixing of angularmomentum projected wave functions, generated by constrained selfconsistent relativistic meanfield calculations for triaxial shapes (3DAMP+GCM), is applied in a systematic study of ground states and lowenergy collective states in the eveneven magnesium isotopes {sup 2040}Mg. Results obtained using a relativistic pointcoupling nucleonnucleon effective interaction in the particlehole channel and a densityindependent {delta} interaction in the pairing channel are compared to data and with previous axial 1DAMP+GCM calculations, both with a relativistic density functional and the nonrelativistic Gogny force. The effects of the inclusion ofmore » 
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We present a method based on meanfield states generated by triaxial quadrupole constraints that are projected on particle number and angular momentum and mixed by the generator coordinate method on the quadrupole moment. This method is equivalent to a sevendimensional GCM calculation, mixing all five degrees of freedom of the quadrupole operator and the gauge angles for protons and neutrons. A first application to {sup 24}Mg permits a detailed analysis of the effects of triaxial deformations and of K mixing.