Shell model calculations on energy levels in the 2s1/2 1d3/2 shell (I)

Abstract

The shell model is used to investigate quantitatively the nuclei in the range 29Si---40Ca. An inert 28Si core is assumed with a two-particle interaction of the outer nucleons in the 2s1/2 and 1d3/2 shells. Mixing of all possible configurations in these shells is taken into account. The interaction matrix elements are reduced to linear expressions in 17 parameters (i.e. 15 two-particle interactions and 2 binding energies to the core).

In this paper the methods, which have been used, are discussed. In a second paper the numerical results will be presented, obtained from fitting the 17 parameters to 50 nuclear levels. The results give (a) the energies, spins and configurations of about 400 nuclear levels, (b) the values of the 17 parameters and (c) the spectroscopic factors for stripping reactions.