Tables of identical-particle fractional parentage coefficients

B. F. Bayman, Alexander Lande

Research output: Contribution to journalArticlepeer-review

100 Scopus citations

Abstract

The one-particle fractional parentage coefficients for totally antisymmetric states of n identical fermions have been calculated by diagonalizing the Casimir operators of the unitary and symplectic groups. They are tabulated for n up to the half-filled shell for j ≦ 11 2, and n ≦ 5 for j = 13 2 and 15 2 respectively. The coefficients for totally symmetric states of identical bosons, dn (n ≦ 7), fn(n ≦ 6) and gn(n ≦ 5) were determined in a similar manner.

Original languageEnglish (US)
Pages (from-to)1-80
Number of pages80
JournalNuclear Physics
Volume77
Issue number1
DOIs
StatePublished - Mar 1966

Bibliographical note

Funding Information:
t This work was supported by the U.S. Atomic Energy Commission and the Higgins Scientific Trust Fund. This report made use of the Princeton computer facilities supported in part by National Science Foundation Grant NSF-GP579.

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