New approach to large-scale nuclear structure calculations

被引:29
作者
Dukelsky, J
Pittel, S
机构
[1] CSIC, Inst Estructura Mat, E-28006 Madrid, Spain
[2] Univ Delaware, Bartol Res Inst, Newark, DE 19716 USA
来源
PHYSICAL REVIEW C | 2001年 / 63卷 / 06期
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevC.63.061303
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
A new approach to large-scale nuclear structure calculations, based on the density matrix renormalization group (DMRG), is described. The method is tested in the context of a problem involving many identical nucleons constrained to move in a single large-j shell and interacting via a pairing plus quadrupole interaction. In cases in which exact diagonalization of the Hamiltonian is possible, the method is able to reproduce the exact results for the ground-state energy and the energies of low-lying excited states with extreme precision. Results are also presented for a model problem in which exact solution is not feasible.
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页数:4
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共 13 条
[1]   CONTRACTED SYMPLECTIC MODEL WITH DS-SHELL APPLICATIONS [J].
CASTANOS, O ;
DRAAYER, JP .
NUCLEAR PHYSICS A, 1989, 491 (03) :349-372
[2]   Full 0hω shell model calculation of the binding energies of the 1f7/2 nuclei [J].
Caurier, E ;
Martínez-Pinedo, G ;
Nowacki, F ;
Poves, A ;
Retamosa, J ;
Zuker, AP .
PHYSICAL REVIEW C, 1999, 59 (04) :2033-2039
[3]   Density matrix renormalization group study of ultrasmall superconducting grains [J].
Dukelsky, J ;
Sierra, G .
PHYSICAL REVIEW LETTERS, 1999, 83 (01) :172-175
[4]   Crossover from bulk to few-electron limit in ultrasmall metallic grains [J].
Dukelsky, J ;
Sierra, G .
PHYSICAL REVIEW B, 2000, 61 (18) :12302-12314
[5]  
Haxton W.C., 1984, Prog. Part. Nucl. Phys., V12, P409
[6]  
Heyde, 1994, NUCL SHELL MODEL
[7]   Nuclear shell model by the quantum Monte Carlo diagonalization method [J].
Honma, M ;
Mizusaki, T ;
Otsuka, T .
PHYSICAL REVIEW LETTERS, 1996, 77 (16) :3315-3318
[8]   A GENERALIZED LS-COUPLING SCHEME FOR SHELL-MODEL CALCULATIONS AND RELATED TRUNCATION SCHEMES [J].
JI, XD ;
WILDENTHAL, BH ;
VALLIERES, M .
NUCLEAR PHYSICS A, 1989, 492 (02) :215-236
[9]   EXACT EIGENSTATES OF PAIRING-FORCE HAMILTONIAN [J].
RICHARDSON, RW ;
SHERMAN, N .
NUCLEAR PHYSICS, 1964, 52 (02) :221-&
[10]   Transition from spherical to deformed shapes of nuclei in the Monte Carlo shell model [J].
Shimizu, N ;
Otsuka, T ;
Mizusaki, T ;
Honma, M .
PHYSICAL REVIEW LETTERS, 2001, 86 (07) :1171-1174