Published November 2005 | Version v1
Journal article Metadata-only

J-pairing interaction, number of states, and nine-j sum rules of four identical particles

Creators

  • 1. Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000 (China)
  • 2. Cyclotron Center, Institute of Physical Chemical Research (RIKEN), Hirosawa 2-1, Wako-shi, Saitama 351-0198 (Japan)
  • 3. Department of Physics, Shanghai Jiao Tong University, Shanghai 200240 (China)
  • 4. Science Museum, Japan Science Foundation, 2-1 Kitanomaru-koen, Chiyodaku, Tokyo 102-0091 (Japan)

Description

We study the J-pairing Hamiltonian and find that the sum of eigenvalues of spin-I states equals the sum of the norm matrix elements within the pair basis for four identical particles such as four fermions in a single-j shell or four bosons with spin l. We relate the number of states to sum rules of nine-j coefficients. We obtained sum rules for nine-j coefficients <(jj)J,(jj)K:I|(jj)J,(jj)K:I> and <(ll)J,(ll)K:I|(ll)J,(ll)K:I> summing over (1) even J and even K, (2) even J and odd K, (3) odd J and odd K, and (4) both even and odd values for J and K, where j is a half integer and l is an integer

Additional details

Identifiers

DOI
10.1103/PhysRevC.72.054307;
arXiv
arXiv:nucl-th/0508018v3;

Publishing Information

Journal Title
Physical Review. C, Nuclear Physics
Journal Volume
72
Journal Issue
5
Journal Page Range
p. 054307-054307.8
ISSN
0556-2813
CODEN
PRVCAN

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
37015114
Subject category
S73: NUCLEAR PHYSICS AND RADIATION PHYSICS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BOSONS; EIGENFUNCTIONS; EIGENVALUES; FERMIONS; HAMILTONIANS; MATRIX ELEMENTS; NUCLEAR STRUCTURE; PAIRING INTERACTIONS; SHELL MODELS; SPIN; STATISTICAL MODELS; SUM RULES
Descriptors DEC
ANGULAR MOMENTUM; EQUATIONS; FUNCTIONS; INTERACTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUCLEAR MODELS; PARTICLE PROPERTIES; QUANTUM OPERATORS

Optional Information

Notes
(c) 2005 The American Physical Society