Partial conservation of seniority in the j=9/2 shell: Analytic and numerical studies
2011 (English)In: Physical Review C. Nuclear Physics, ISSN 0556-2813, E-ISSN 1089-490X, Vol. 83, no 1, 014307- p.Article in journal (Refereed) Published
Recent studies show that for systems with four identical fermions in the j = 9/2 shell, two special states, which have seniority v = 4 and total spins I = 4 and 6, are eigenstates of any two-body interaction. These states have good seniority for an arbitrary interaction. In this work, an analytic proof is given to this peculiar occurrence of partial conservation of seniority, which is the consequence of the special property of certain coefficients of fractional parentage. Further calculations did not reveal its existence in systems with other n and/or I for shells with j <= 15/2.
Place, publisher, year, edition, pages
2011. Vol. 83, no 1, 014307- p.
FRACTIONAL PARENTAGE COEFFICIENTS, FERMIONS
IdentifiersURN: urn:nbn:se:kth:diva-31310DOI: 10.1103/PhysRevC.83.014307ISI: 000286753500003ScopusID: 2-s2.0-79251644251OAI: oai:DiVA.org:kth-31310DiVA: diva2:404843
FunderSwedish Research Council, 623-2009-7340Swedish Research Council, 2010-4723
QC 201103182011-03-182011-03-142011-03-18Bibliographically approved