Special 6j and 9j symbols for a single-j shell

Abstract

In this Brief Report, we propose general expressions for 6j and 9j coefficients arising in the study of the J-pairing interaction of identical fermions in a single-j shell. In the literature such coefficients are available only for a number of given angular momenta.

submitted to "Phys. Rev. C"

References in corpus (5)

• General pairing interactions and pair truncation approximations for fermions in a single-j shell
• 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 states for nucleons in a single-$j$ shell

Cited by in corpus (3)

• Total number of $J$ levels for identical particles in a single-$j$ shell using coefficients of fractional parentage
• Exact expressions for the number of levels in single-\textit{j} orbits for three, four and five fermions
• Number of spin-J states and odd-even staggering for identical particles in a single-j shell