Abstract
The effect on the ground-state three-body binding energies of representing the interaction by a repulsive potential compared to an attractive, excluded-bound-state potential is examined. The theory underlying construction of an attractive, excluded-bound-state potential is reviewed and then applied in the construction of an interaction. The role of Levinson's theorem from potential theory as opposed to its modified form for composite-particle scattering is stressed in comparing the repulsive and attractive-excluded-bound-state interactions. The three-body equations are generalized to accommodate an attractive interaction with a forbidden bound state and it is shown that the limit to exclude the forbidden state leads to a set of well-defined three-body equations containing no spurious, deeply-bound solutions. Results for the and binding energies suggest that the attractive, excluded-bound-state interaction gives a better representation of Pauli-exclusion effects in the interaction than the repulsive form, based on the marked improvement in the predicted binding energy compared to experiment with essentially no degradation in the value. This conclusion can be further tested by using the new wave functions to calculate the momentum distribution which is sensitive to the components in the wave function that are present solely due to the interactions.
NUCLEAR STRUCTURE and , Pauli-exclusion effects, three-body calculations, Levinson's theorem.
- Received 10 February 1982
DOI:https://doi.org/10.1103/PhysRevC.25.3146
©1982 American Physical Society