Projection techniques as methods of particle-number symmetry restoration

被引:18
|
作者
Oudih, M. R. [1 ,2 ]
Fellah, M. [1 ,2 ]
Allal, N. H. [1 ,2 ]
Benhamouda, N. [1 ,2 ]
机构
[1] Univ Sci & Technol Houari Boumediene, Fac Phys, Phys Theor Lab, Bab Ezzouar 16111, Algiers, Algeria
[2] Ctr Rech Nucl Alger, COMENA, Algiers, Algiers, Algeria
来源
PHYSICAL REVIEW C | 2007年 / 76卷 / 04期
关键词
D O I
10.1103/PhysRevC.76.047307
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
The accuracy of the variation before (VBP) and after (VAP) particle-number projection methods, the Lipkin-Nogami (LN) prescription, and the projected Lipkin-Nogami (PLN) method have been studied using two exactly solvable models. It is shown that the VBP and the LN methods are rather dubious not only in a weak pairing regime, but also in strong pairing for the evaluation of quantities other than the ground state energy. The PLN method provides good results for the ground and the excited state energies, but it must be used with caution for the occupation probabilities and the observables that strongly depend on it. It seems that the VAP is the only suitable method for a global description of the nuclear properties.
引用
收藏
页数:4
相关论文
共 50 条
  • [41] Particle-number threshold for non-Abelian geometric phases
    Pinske, Julien
    Burgtorf, Vincent
    Scheel, Stefan
    [J]. PHYSICAL REVIEW A, 2023, 107 (06)
  • [42] Particle-number fluctuations near the critical point of nuclear matter
    Magner, A. G.
    Fedotkin, S. N.
    Grygoriev, U. V.
    [J]. PHYSICAL REVIEW C, 2023, 107 (02)
  • [43] Macroscopic quantum tunneling in particle-number conserved Josephson systems
    Hatakenaka, N
    Takayanagi, H
    [J]. MICROELECTRONIC ENGINEERING, 1999, 47 (1-4) : 381 - 383
  • [44] A hybrid particle-number and particle model for efficient solution of population balance equations
    Boje, Astrid
    Akroyd, Jethro
    Kraft, Markus
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 389 : 189 - 218
  • [45] Particle-number conservation, causality and linear response in biomedical imaging
    Geist, Barbara Katharina
    Neufeld, Helmut
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2021, 409
  • [46] Generating function for particle-number probability distribution in directed percolation
    Anton, L
    Park, H
    Park, SC
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (38): : 8187 - 8199
  • [47] Nuclear shell energy obtained by averaging in particle-number space
    Pomorski, K
    [J]. ACTA PHYSICA POLONICA B, 2005, 36 (04): : 1221 - 1225
  • [48] Temperature-dependent particle-number projected moment of inertia
    Allal, N. H.
    Fellah, M.
    Benhamouda, N.
    Oudih, M. R.
    [J]. PHYSICAL REVIEW C, 2008, 77 (05):
  • [49] Particle-number conservation in thermodynamic systems within the Richardson model
    Benhamouda, N.
    Allal, N. H.
    Fellah, M.
    Oudih, M. R.
    [J]. 5TH INTERNATIONAL SYMPOSIUM ON QUANTUM THEORY AND SYMMETRIES QTS5, 2008, 128
  • [50] Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. III. Role of particle-number projection
    Samyn, M
    Goriely, S
    Bender, M
    Pearson, JM
    [J]. PHYSICAL REVIEW C, 2004, 70 (04): : 044309 - 1