Fivedimensional quasispin toward a complete classification of the isospin characteristics of shellmodel states in the seniority scheme
Abstract
A solution is proposed for the inner multiplicity problem associated with the fivedimensional quasispin description of shellmodel states. A classification scheme, in terms of an orthonormal basis, leads to tractable results with definite symmetry properties under particlehole conjugation. Explicit constructions are given for the R(5) irreducible representations (ω _{1} 1), (ω _{1}3/2), (t + 1, t) for which the inner multiplicities are never greater than two. For states of seniority v = 2, reduced isospin t = 1, of a configuration j ^{n} general expressions are given for the matrix elements of an arbitrary twobody interaction, to determine their n, T dependence, and to isolate those features of the actual interaction among nucleons which are most effective in splitting the isospin degeneracy of such states.
 Publication:

Nuclear Physics A
 Pub Date:
 April 1970
 DOI:
 10.1016/03759474(70)904379
 Bibcode:
 1970NuPhA.145..468H