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Analytic proof of partial conservation of seniority in j=9/2 shells
KTH, School of Engineering Sciences (SCI), Physics, Nuclear Physics.ORCID iD: 0000-0002-1406-5695
KTH, School of Engineering Sciences (SCI), Physics, Nuclear Physics.
KTH, School of Engineering Sciences (SCI), Physics, Particle and Astroparticle Physics.
2012 (English)In: Nuclear Physics A, ISSN 0375-9474, E-ISSN 1873-1554, Vol. 884, 21-35 p.Article in journal (Refereed) Published
Abstract [en]

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.
Keyword [en]
Seniority, Partial symmetry, Coefficients of fractional parentage
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-98918DOI: 10.1016/j.nuclphysa.2012.04.007ISI: 000305305200002Scopus ID: 2-s2.0-84860809011OAI: oai:DiVA.org:kth-98918DiVA: diva2:540999
Note
QC 20120713Available from: 2012-07-13 Created: 2012-07-05 Last updated: 2017-12-07Bibliographically approved
In thesis
1. Multistep Shell Model in the Complex Energy Plane
Open this publication in new window or tab >>Multistep Shell Model in the Complex Energy Plane
2012 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

In this thesis the properties of unbound nuclei like 12,13Li are studiedby extending the multistep shell model to the complex energy plane. Thenuclei 12Li and 13Li are described starting from the one-particle states in 10Liand two-particle states in 11Li. The ground state of 12Li is found to be anantibound state. No bound or antibound state is found in 13Li. It is alsoshown that the odd proton plays a minor role in these nuclei.This framework is also applied to study the recently proposed spin-alignedproton-neutron pair coupling scheme. For this the MSM is extended to theproton-neutron space as well as the isospin space. In the model, a nonorthogonalbasis is introduced, which allows us to identify simultaneously theroles played by all configurations. The four-particle, six-particle and eightparticlenuclei in the heaviest N = Z region are evaluated using the MSMbasis within the space spanned by the single 0g9/2 hole shell.A novel Monte Carlo representation in the complex energy plane is alsodeveloped for studying nuclear excitations in the continuum. The calculationson realistic potentials show a stable performance and high accuracy in the oneparticleand two-particle cases. This will provide a convenient tool to studyopen systems with many nucleons in the continuum.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2012. ix, 81 p.
Series
Trita-FYS, ISSN 0280-316X ; 2012:81
National Category
Subatomic Physics
Identifiers
urn:nbn:se:kth:diva-103867 (URN)978-91-7501-524-8 (ISBN)
Public defence
2012-11-15, FA32, AlbaNova Universitetscentrum, Roslagstullsbacken 21, Stockholm, 13:00 (English)
Opponent
Supervisors
Note

QC 20121025

Available from: 2012-10-25 Created: 2012-10-23 Last updated: 2012-11-26Bibliographically approved

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