Cluster model for the mass-22 T = 1 triplet nuclei

Abstract

A cluster model for the mass-22 T = 1 nuclei is presented using the ideas of the Buck-Dover-Vary model. The three T = 1 nuclei: 22Ne, 22Na and 22Mg, are described as composites of the mass-10 T = 1 isobaric nuclei: 10Be, 10B and 10C, respectively, orbiting a 12C subnucleus. In each of the nuclei, the clusters retain their free-space properties and can be excited from the 0 + to the 2 + excited state. It is shown that these basis states are sufficient to describe the spectra and electromagnetic properties of the nuclei. The T = 0 spectrum of 22Na is also described as 10B orbiting the 12C core. The spectrum arises when 12C is in its 0 + ground state while 10B occupies either of its low-lying T = 0 states : 3 + ground state, 1 + state at 0.718 MeV or 1 + state at 2.158 MeV. Using these basis states the T = 0 spectrum, the ground-state root-mean-square charge radius, the static moments and electromagnetic transition strengths of 22Na were calculated, and shown to be consistent with experiment.