Comment on coefficients of fractional parentage of the form (l^2l+1|}l^2l+2)

Authors

Anthony F. Starace, University of Nebraska-LincolnFollow

Document Type

Article

Date of this Version

January 1983

Comments

Published by American Physical Society. Phys. Rev. A 27, 572 (1983). http://pra.aps.org. Copyright © 1983 American Physical Society. Permission to use.

Abstract

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.