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nucl-thSep 1, 2005
13
citations (OpenAlex)
authors
  • Y. M. Zhao
  • A. Arima
institutions
  • Japan Science Foundation
  • RIKEN
  • Shanghai Jiao Tong University
arXiv abstractPDF
paper

Number of states for nucleons in a single-j shell

arXiv:nucl-th/0509084 · doi:10.1103/PhysRevC.72.064333

Abstract

In this paper we obtain number of states with a given spin I and a given isospin T for systems with three and four nucleons in a single-j orbit, by using sum rules of six-j and nine-j symbols obtained in earlier works.

arXiv commentto be published in Physical Review C

References in corpus (7)

  • General pairing interactions and pair truncation approximations for fermions in a single-j shell
  • Number of states with fixed angular momentum for identical fermions and bosons
  • Alternate Derivation of Ginocchio-Haxton relation [(2j+3)/6]
  • Classification of states of single-j fermions with J-pairing interaction
  • J-pairing interaction, number of states, and nine-j sum rules of four identical particles
  • Number of Spin I States of Identical Particles
  • Isospin relations for four nucleons in a single j shell

Cited by in corpus (5)

  • Energy expressions for n=3 and 4 systems in a single-j shell
  • Alternate proof of the Rowe-Rosensteel proposition and seniority conservation
  • Total number of J levels for identical particles in a single-j shell using coefficients of fractional parentage
  • Special 6j and 9j symbols for a single-j shell
  • Number of spin-J states and odd-even staggering for identical particles in a single-j shell
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