Abstract
Separable-potential three-body () models of the ground state are investigated. Different separable-potential fits to the phase shifts and the low-energy singlet two-nucleon parameters are discussed, after which integral equations are derived for the spectator functions of the ground-state wave function assuming , , and components in the interaction. These equations are solved to determine the binding energy and examine its sensitivity to the two-nucleon singlet effective range, its variation upon neglecting different components of the interaction, and its dependence on different analytic forms for the -wave interactions. The spectator functions for the "best" two sets of parameters are generated and tabulated, and for one set the contributions to the ground-state normalization of the various components in the ground-state wave function are computed. With the "best" ,, and interactions, the calculated binding energy is 0.542 MeV for a two-nucleon -wave separable potential fitted to the effective-range parameters, fm, and fm, and 0.359 MeV for the effective-range parameters, fm, and fm, compared to the experimental value of 0.969 MeV.
[NUCLEAR STRUCTURE ; calculated binding energy, wave function, contribution of wave function components to normalization. Three-body, separable-potential model.]
- Received 26 December 1973
DOI:https://doi.org/10.1103/PhysRevC.9.1730
©1974 American Physical Society