Eigen-Property of Single-j System and Seniority Conservation Condition
2012 (English)In: Plasma Science and Technology, ISSN 1009-0630, Vol. 14, no 5, 383-385 p.Article in journal (Refereed) Published
In this paper we study the system with three nucleons within a single-j shell, which can be described as the angular momentum coupling of a nucleon pair and the odd nucleon. The overlaps between these non-orthonormal states form a special matrix coincidental with the one obtained by Rowe and Rosensteel. They proposed a proposition related to the eigenvalue problems of that matrix and dimensions of the associated subspaces. We prove their proposition with the help of the symmetric properties of the six-j symbols. We also derive algebraic expressions for eigen energies as well as conditions for conservation of seniority through the decomposition of the angular momentum.
Place, publisher, year, edition, pages
2012. Vol. 14, no 5, 383-385 p.
seniority, single-j shell, conservation condition
Research subject SRA - E-Science (SeRC)
IdentifiersURN: urn:nbn:se:kth:diva-74473DOI: 10.1088/1009-0630/14/5/08ISI: 000304404400008ScopusID: 2-s2.0-84861425560OAI: oai:DiVA.org:kth-74473DiVA: diva2:489688
FunderSwedish Research CouncilSwedish e‐Science Research Center
QC 201206192012-02-032012-02-032012-06-19Bibliographically approved