Single-channel resonating group study of the seven-nucleon system using a noncentral two-nucleon potential

A single-channel resonating group study is performed for the seven-nucleon mirror systems, 4He + 3He and 4He + 3H (α + T) in both bound and scattering states. The variational calculation utilizes a Hamiltonian which contains a superposition of nucleon-nucleon (N--N) potentials. These include Wigner, Majorana, Bartlett and Heisenberg N--N central potentials, the N--N Coulomb potential and a phenomenologically determined N--N spin-orbit potential with a charge exchange component. The completely antisymmetrized trial wave function contains prescribed Gaussian internal spatial cluster wave functions having width parameters based upon the experimentally-determined rms radii of α and T. The constants defining the central N--N potential are obtained fron N--N scattering data. The strength and range of the N--N spin-orbit potential are chosen to mock th effects of the strong N--N tensor potential and are based upon good resonating group method representations of the empirically determined phase shifts for the N + α and T + α systems. At higher energies a nonlocal phenomenological intercluster absorptive potential is used to improve the agreement with experiment. Order No. 76-27,797, 301 pages