Six-body hyperspherical solution to 6Li bound states

We apply the hyperspherical method to the N-body Schroedinger equation and solve for the bound states of 6Li with the center of mass motion correctly treated. It is shown how to construct antisymmetric hyperharmonic polynomials of definite J, J/sub z/, T, and T/sub z/ from Slater determinants with shell model coordinates. A set of coupled one dimensional differential equations are obtained and solved in K/sub min/ approximation. A super-soft- core potential that provides a good fit to the two-nucleon scattering phase shifts is given a slight state dependence and is used for the two-nucleon potential. The proper handling of the potential energy matrix element with the center of mass motion excluded is detailed. A prescription for obtaining effective interactions for shell model calculations is presented. The difference in the potential energy matrix element of four S/sub 1/2/ nucleons in a 4He nucleus or in a 6Li nucleus is shown not to be zero. A J, T = 1, 1 state of 6Li is calculated to have a binding energy of 15.245 MeV. This state may resemble a nuclear molecule of 3H and 3He