Proper treatment of the Pauli principle in mirror nuclei within the microscopic particle(hole)-phonon scheme

Abstract

It is shown that the Cholesky decomposition method, implemented in mirror nuclei to extract an orthonormal basis from a redundant set of states composed of a valence particle (hole) coupled to Tamm-Dancoff approximation (TDA) phonons, yields a few levels which violate the mirror symmetry, at variance with the shell model. A more appropriate implementation of the method is suggested which eliminates this inconsistency.

Keywords

• energy-levels
• light-nuclei
• states