From deformed Hartree-Fock to the nucleon-pair approximation
The nucleon-pair approximation (NPA) can be a compact alternative to full configuration-interaction (FCI) diagonalization in nuclear shell-model spaces, but selecting good pairs is a long-standing problem. While seniority-based pairs work well for near-spherical nuclides, they do not work well for d...
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Elsevier
2020-10-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269320305086 |
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doaj-9d87362e0ae54606b6d62ebf86073a592020-11-25T03:42:58ZengElsevierPhysics Letters B0370-26932020-10-01809135705From deformed Hartree-Fock to the nucleon-pair approximationG.J. Fu0Calvin W. Johnson1School of Physics Science and Engineering, Tongji University, 1239 Siping Rd., Shanghai 200092, ChinaDepartment of Physics, San Diego State University, 5500 Campanile Drive, San Diego, CA 92182-1233, United States of America; Corresponding author.The nucleon-pair approximation (NPA) can be a compact alternative to full configuration-interaction (FCI) diagonalization in nuclear shell-model spaces, but selecting good pairs is a long-standing problem. While seniority-based pairs work well for near-spherical nuclides, they do not work well for deformed nuclides with strong rotational bands. We propose an alternate approach. We show how one can write any Slater determinant for an even number of particles as a general pair condensate, from which one can project out pairs of good angular momentum. We implement this by generating unconstrained Hartree-Fock states in a shell model basis and extracting S, D, and G pairs. The subsequent NPA calculations yield good agreement with FCI results using the same effective interactions.http://www.sciencedirect.com/science/article/pii/S0370269320305086 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
G.J. Fu Calvin W. Johnson |
| spellingShingle |
G.J. Fu Calvin W. Johnson From deformed Hartree-Fock to the nucleon-pair approximation Physics Letters B |
| author_facet |
G.J. Fu Calvin W. Johnson |
| author_sort |
G.J. Fu |
| title |
From deformed Hartree-Fock to the nucleon-pair approximation |
| title_short |
From deformed Hartree-Fock to the nucleon-pair approximation |
| title_full |
From deformed Hartree-Fock to the nucleon-pair approximation |
| title_fullStr |
From deformed Hartree-Fock to the nucleon-pair approximation |
| title_full_unstemmed |
From deformed Hartree-Fock to the nucleon-pair approximation |
| title_sort |
from deformed hartree-fock to the nucleon-pair approximation |
| publisher |
Elsevier |
| series |
Physics Letters B |
| issn |
0370-2693 |
| publishDate |
2020-10-01 |
| description |
The nucleon-pair approximation (NPA) can be a compact alternative to full configuration-interaction (FCI) diagonalization in nuclear shell-model spaces, but selecting good pairs is a long-standing problem. While seniority-based pairs work well for near-spherical nuclides, they do not work well for deformed nuclides with strong rotational bands. We propose an alternate approach. We show how one can write any Slater determinant for an even number of particles as a general pair condensate, from which one can project out pairs of good angular momentum. We implement this by generating unconstrained Hartree-Fock states in a shell model basis and extracting S, D, and G pairs. The subsequent NPA calculations yield good agreement with FCI results using the same effective interactions. |
| url |
http://www.sciencedirect.com/science/article/pii/S0370269320305086 |
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AT gjfu fromdeformedhartreefocktothenucleonpairapproximation AT calvinwjohnson fromdeformedhartreefocktothenucleonpairapproximation |
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