Shell-model Truncated Calculation in Correlated Basis

Key words: 
• shell model /
• truncation scheme /
• correlated basis

Abstract: We present a new basis selection algorithm for truncated shell model calculations. In this method the basis is taken as the correlated eigenvectors of the Hamiltonian in each shell-model partition. A truncation scheme is established by naturally taking the low-lying correlated basis vectors in the different partitions, which is equivalent to the j-j coupling scheme of the shell model when all correlated basis vectors are considered. The calculations are compared with standard shell model calculations. The convergence properties of the correlated basis method are also discussed. The calculation results show that one can get both good convergence of energies and wave functions, which indicate the effectiveness of correlated basis shell-model calculation.