Analytic proof of partial conservation of seniority in j=9/2 shells

作者：Qi Chong^*; Xu Z X; Liotta R J

来源：Nuclear Physics A, 2012, 884: 21-35.

DOI：10.1016/j.nuclphysa.2012.04.007

• Seniority
• Partial symmetry
• Coefficients of fractional parentage

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%26apos;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%26apos;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.

• 出版日期2012-7-1