Few-nucleon bound states using the unsymmetrized HH expansion

Abstract

The hyperspherical harmonic basis is used to describe bound states in an A–body system up to six bodies. In this basis the kinetic energy matrix is diagonal whereas the potential matrix is presented in a compact form, well suited for numerical implementation. The basis is neither symmetrized nor antisymmetrized, as required in the case of identical particles. However, after the diagonalization of the Hamiltonian matrix, the eigenvectors reflect the symmetries present in it, and the identification of the physical states is possible, as it will be shown in specific cases. As an example we solve the case of A = 3,4, 5, 6 particles interacting through a short-range central interaction with and without the inclusion of the Coulomb potential.