Optimization of the number of intrinsic states included in the discrete generator coordinate method

Abstract

We present a mechanism to efficiently preselect the number of intrinsic many-body states that are used to define the many-body wave functions within the discrete generator coordinate method (GCM). This procedure, based on the proper definition of a natural basis of orthonormal states, does not require the evaluation of the nondiagonal Hamiltonian kernels to do the selection and helps to reduce the numerical instabilities. The performance of the method is analyzed in detail in the ground state and 0+ excited states of some selected nuclei computed with the Gogny energy density functional