Generalized quasi-spin in neutron-proton systems
Open Access
- 31 December 1965
- journal article
- Published by Elsevier BV in Nuclear Physics
- Vol. 74 (2), 321-347
- https://doi.org/10.1016/0029-5582(65)90085-4
Abstract
Using the fact that, in a jn configuration, the nucleon number and isospin dependence for neutrons and protons in a seniority representation is incorporated in a R(5) quasi-spin group, the allowed values of isospin and the number of times it occurs for a given symplectic symmetry (seniority s and reduced isospin t) and nucleon number is derived. Also closed form experessions for the R(5) Clebsch-Gordan coefficients are derived in which one of the irreducible representations is the four-dimensional representation and the others have a) reduced isospin one-half and zero and b) reduced isospine qual . All others needed for are calculated numerically. It is shown that these Clebsch-Gordan coefficients give the n, T dependence of the spectroscopic factors. A generalization is made immediately to mixed configurations.Keywords
Funding Information
- National Science Foundation
- United States Atomic Energy Commission
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