Unitary group decomposition of Hamiltonian operators. II. SU (4) irreducible tensors, norms and their energy variation and symmetry breaking

SU(6)direct-sumSU(4) tensor decomposition of effective interactions in the 2s--1d shell has been carried out to examine the relative importance of the various irreducible tensors in many-particle spaces. For this purpose norms of the irreducible tensors are evaluated in many-particle spaces. Variation of the expectation value of the square of the irreducible tensor parts with excitation energy has also been examined using the polynomial expansion method. A new measure of symmetry breaking that is theoretically more sound is derived which includes in its definition partial width as well as internal width. This is used to study SU(4) symmetry mixing in nuclei