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Alternate proof of the Rowe-Rosensteel proposition and seniority conservation
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, Nuclear Physics.
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2010 (English)In: Physical Review C. Nuclear Physics, ISSN 0556-2813, E-ISSN 1089-490X, Vol. 82, no 1, 014304- p.Article in journal (Refereed) Published
Abstract [en]

For a system with three identical nucleons in a single-j shell, the states can be written as the angular-momentum coupling of a nucleon pair and the odd nucleon. The overlaps between these nonorthonormal states form a matrix that coincides with the one derived by Rowe and Rosensteel [Phys. Rev. Lett. 87, 172501 ( 2001)]. The propositions they state are related to the eigenvalue problems of the matrix and dimensions of the associated subspaces. In this work, the propositions are proven from the symmetric properties of the 6j symbols. Algebraic expressions for the dimension of the states, eigenenergies, as well as conditions for conservation of seniority can be derived from the matrix.

Place, publisher, year, edition, pages
2010. Vol. 82, no 1, 014304- p.
Keyword [en]
SHELL
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:kth:diva-29478DOI: 10.1103/PhysRevC.82.014304ISI: 000279940200002Scopus ID: 2-s2.0-77954649717OAI: oai:DiVA.org:kth-29478DiVA: diva2:395682
Funder
Swedish Research Council
Note
QC 20110207Available from: 2011-02-07 Created: 2011-02-02 Last updated: 2017-12-11Bibliographically 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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