Research Papers in Physics and Astronomy


Date of this Version

January 1983


Published by American Physical Society. Phys. Rev. A 27, 572 (1983). Copyright © 1983 American Physical Society. Permission to use.


For the special case of half-filled subshells, Racah showed in 1943 that his formula relating the coefficients of fractional parentage for a given particle configuration to those for the corresponding hole configuration requires an additional phase factor (-1) (v-1)/2, where v is the seniority of the half-filled configuration. This phase factor is incorrectly printed in Racah's 1943 paper as (-1) v-1/2. Furthermore, this phase factor is omitted in the 1952 paper by Rosenzweig, resulting in sign errors in the table of (d5|}d6) coefficients. These rather old errors have often been repeated in subsequent publications, including even some recently published monographs and textbooks.

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