Abstract
Three-body () models of the and ground states are used to investigate their shell structure. Three models for each nucleus are considered: simple, full (), and full () for , and simple, full (0%), and full (4%) for . The full models in both cases are obtained by including the , , and partial waves of the interaction, whereas the simple model truncates to only the strongly resonant wave. The full models distinguish between use of the or parameters for the interaction, while the full models have either a pure interaction (0%) or a interaction that leads to a 4% -wave component in the deuteron (4%). These models are used to calculate the probabilities of the orbital components of the wave functions, the configuration-space single-particle orbital densities, and the configuration-space two-particle wave function amplitudes in coupling with the nucleon coordinates referred to the alpha particle as the "core" or "center of force." The results are then compared with those from phenomenological and realistic-interaction shell models. Major findings of the comparison are the following: None of the shell models considered have a distribution of orbital probabilities across shells like that predicted by three-body models; the orbital rms radii from three-body models indicate an ordering of the orbits within shells, i.e., outside , unlike oscillator shell models with a single oscillator parameter where the -shell orbitals have the same shape; and, as expected, three-body orbital densities decay at large radial distances as exponentials rather than the too compact Gaussian falling off of oscillator shell models.
NUCLEAR STRUCTURE and , three-body models, shell structure.
- Received 17 January 1983
DOI:https://doi.org/10.1103/PhysRevC.28.364
©1983 American Physical Society