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

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