Beyond the relativistic meanfield approximation. II. Configuration mixing of meanfield wave functions projected on angular momentum and particle number
Abstract
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 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 particlenumber projection, as well as with the corresponding 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:
 20864197
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 74; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevC.74.064309; (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; ARGON 36; AXIAL SYMMETRY; CONFIGURATION MIXING; CORRELATIONS; COUPLING; FLUCTUATIONS; GENERATORCOORDINATE METHOD; MAGNESIUM 24; MATHEMATICAL SOLUTIONS; MEANFIELD THEORY; NUCLEONS; PARTICLEHOLE MODEL; QUADRUPOLE MOMENTS; RELATIVISTIC RANGE; SKYRME POTENTIAL; SYMMETRY BREAKING; WAVE FUNCTIONS
Citation Formats
Niksic, T., Vretenar, D., Ring, P., and PhysikDepartment der Technischen Universitaet Muenchen, D85748 Garching. Beyond the relativistic meanfield approximation. II. Configuration mixing of meanfield wave functions projected on angular momentum and particle number. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVC.74.064309.
Niksic, T., Vretenar, D., Ring, P., & PhysikDepartment der Technischen Universitaet Muenchen, D85748 Garching. Beyond the relativistic meanfield approximation. II. Configuration mixing of meanfield wave functions projected on angular momentum and particle number. United States. doi:10.1103/PHYSREVC.74.064309.
Niksic, T., Vretenar, D., Ring, P., and PhysikDepartment der Technischen Universitaet Muenchen, D85748 Garching. Fri .
"Beyond the relativistic meanfield approximation. II. Configuration mixing of meanfield wave functions projected on angular momentum and particle number". United States.
doi:10.1103/PHYSREVC.74.064309.
@article{osti_20864197,
title = {Beyond the relativistic meanfield approximation. II. Configuration mixing of meanfield wave functions projected on angular momentum and particle number},
author = {Niksic, T. and Vretenar, D. and Ring, P. and PhysikDepartment der Technischen Universitaet Muenchen, D85748 Garching},
abstractNote = {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 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 particlenumber projection, as well as with the corresponding nonrelativistic models based on Skyrme and Gogny effective interactions.},
doi = {10.1103/PHYSREVC.74.064309},
journal = {Physical Review. C, Nuclear Physics},
number = 6,
volume = 74,
place = {United States},
year = {Fri Dec 15 00:00:00 EST 2006},
month = {Fri Dec 15 00:00:00 EST 2006}
}

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