Analytic proof of partial conservation of seniority in j=9/2 shells
2012 (English)In: Nuclear Physics A, ISSN 0375-9474, Vol. 884, 21-35 p.Article in journal (Refereed) Published
A partial conservation of the seniority quantum number in j = 9/2 shells has been found recently in a numerical application. In this paper an analytic proof for this problem is derived as an extension of the work [L. Zamick, P. Van Isacker, Phys. Rev. C 78 (2008) 044327]. We analyze the properties of the non-diagonal interaction matrix elements with the help of the one-particle and two-particle coefficients of fractional parentage (cfp's). It is found that all non-diagonal (and the relevant diagonal) matrix elements can be re-expressed in simple ways and are proportional to certain one-particle cfp's. This remarkable occurrence of partial dynamic symmetry is the consequence of the peculiar property of the j = 9/2 shell, where all it = 3 and 5 states are uniquely defined.
Place, publisher, year, edition, pages
2012. Vol. 884, 21-35 p.
Seniority, Partial symmetry, Coefficients of fractional parentage
IdentifiersURN: urn:nbn:se:kth:diva-98918DOI: 10.1016/j.nuclphysa.2012.04.007ISI: 000305305200002ScopusID: 2-s2.0-84860809011OAI: oai:DiVA.org:kth-98918DiVA: diva2:540999
QC 201207132012-07-132012-07-052012-10-25Bibliographically approved