A U(6) Boson Model for Deformed Nuclei

Abstract

The Interacting Boson Model is one of the most famous group-theoretical nuclear models, which established the use of the U(6) symmetry in nuclei, built upon the s,d bosons, which derive by nucleon pairs. In this article, it is suggested that the symmetric pairs of the valence harmonic oscillator quanta can be used approximately as the s and d bosons of a new U(6) Boson Model, applicable in medium mass and heavy nuclei. The main consequence of this interpretation is that the number of bosons is the number of the pairs of the valence harmonic oscillator quanta, which occur from the occupation of the Shell Model orbitals by nucleons.