Configuration mixing of angular-momentum and particle-number projected triaxial Hartree-Fock-Bogoliubov states using the Skyrme energy density functional

被引:187
作者
Bender, Michael [1 ,2 ,3 ,4 ,5 ,6 ,7 ]
Heenen, Paul-Henri [1 ]
机构
[1] Univ Libre Bruxelles, Serv Phys Nucl Theor, B-1050 Brussels, Belgium
[2] Univ Washington, Inst Nucl Theory, Seattle, WA 98195 USA
[3] Argonne Natl Lab, Div Phys, Argonne, IL 60439 USA
[4] Michigan State Univ, Natl Superconducting Cyclotron Lab, E Lansing, MI 48824 USA
[5] CEA Saclay, DAPNIA, SPhN, F-91191 Gif Sur Yvette, France
[6] Univ Bordeaux, CEN Bordeaux Gradignan, UMR5797, F-33175 Gradignan, France
[7] CEN Bordeaux Gradignan, CNRS, IN2P3, F-33175 Gradignan, France
来源
PHYSICAL REVIEW C | 2008年 / 78卷 / 02期
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevC.78.024309
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
We present a method based on mean-field 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 seven-dimensional GCM calculation, mixing all five degrees of freedom of the quadrupole operator and the gauge angles for protons and neutrons. A first application to Mg-24 pen-nits a detailed analysis of the effects of triaxial deformations and of K mixing.
引用
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页数:16
相关论文
共 88 条
[21]   QUADRUPOLE-COLLECTIVE STATES IN A LARGE SINGLE-J SHELL [J].
BURZYNSKI, K ;
DOBACZEWSKI, J .
PHYSICAL REVIEW C, 1995, 51 (04) :1825-1841
[22]   A skyrme parametrization from subnuclear to neutron star densities - Part II. Nuclei far from stabilities [J].
Chabanat, E ;
Bonche, P ;
Haensel, P ;
Meyer, J ;
Schaeffer, R .
NUCLEAR PHYSICS A, 1998, 635 (1-2) :231-256
[23]  
Chabanat E, 1998, NUCL PHYS A, V643, P441
[24]  
CLINE D, 1986, ANNU REV NUCL PART S, V36, P683
[25]   ANGULAR MOMENTUM PROJECTION OPERATORS [J].
CORBETT, JO .
NUCLEAR PHYSICS A, 1971, A169 (02) :426-&
[26]   EVALUATION OF ANGULAR-MOMENTUM PROJECTED ENERGY AT SMALL DEFORMATIONS [J].
DALAFI, HR .
NUCLEAR PHYSICS A, 1975, 252 (01) :42-46
[27]   ROTATIONAL STATES IN EVEN ATOMIC NUCLEI [J].
DAVYDOV, AS ;
FILIPPOV, GF .
NUCLEAR PHYSICS, 1958, 8 (03) :237-249
[28]   RELATIVE TRANSITION PROBABILITIES BETWEEN ROTATIONAL LEVELS OF NON-AXIAL NUCLEI [J].
DAVYDOV, AS ;
ROSTOVSKY, VS .
NUCLEAR PHYSICS, 1959, 12 (01) :58-68
[29]   Particle-number projection and the density functional theory [J].
Dobaczewski, J. ;
Stoitsov, M. V. ;
Nazarewicz, W. ;
Reinhard, P. -G. .
PHYSICAL REVIEW C, 2007, 76 (05)
[30]   Point symmetries in the Hartree-Fock approach. I. Densities, shapes, and currents [J].
Dobaczewski, J ;
Dudek, J ;
Rohozinski, SG ;
Werner, TR .
PHYSICAL REVIEW C, 2000, 62 (01) :13