II. Reduced SU(3) matrix elements

Calculation of reduced coefficients and matrix elements in jj–coupling

A program RCFP will be presented for calculating standard quantities in the decomposition of many–electron matrix elements in atomic structure theory. The list of quantities wich are supported by the present program includes the coefficients of fractional parentage, the reduced coefficients of fractional parentage, the reduced matrix elements of the unit operator T (k) as well as the completely...

Elements of Matrix Algebra

Nucleon Axial Matrix Elements

Current issues associated with nucleon axial matrix elements are studied, including the Goldberger-Treiman discrepancy, the induced pseudoscalar, and SU(3) chiral perturbation theory.

Symmetry properties of SU3 vector coupling coefficients

A presentation of the problem of calculating the vector coupling coefficients for SU3 ⊃ SU2⊗U1 is made, in the spirit of traditional treatments of SU2 coupling. The coefficients are defined as the overlap matrix element between product states and a coupled state with good SU3 quantum numbers. A technique for resolution of the outer degeneracy problem, based upon actions of the infinitesimal gen...

Light Hadron Weak Matrix Elements

The kaon bag parameter BK , which is required for constraining the CP violation parameter in the Cabibbo-Kobayashi-Maskawa matrix from experiment, has been successfully calculated with the Kogut-Susskind(KS) quark action, taking advantage of its UA(1) chiral symmetry[1]. A recent systematic calculation of BK with high statistics[2], however, reveals that the systematic uncertainties in the pert...