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Partial conservation of seniority in the j=9/2 shell: Analytic and numerical studies

Journal Article · · Physical Review. C, Nuclear Physics
 [1]
  1. KTH - Royal Institute of Technology, Alba Nova University Center, SE-10691 Stockholm (Sweden)
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.
OSTI ID:
21499329
Journal Information:
Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 1 Vol. 83; ISSN 0556-2813; ISSN PRVCAN
Country of Publication:
United States
Language:
English

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