H-3 BOUND-STATE FOR THE REID SOFT-CORE POTENTIAL - EXACT CALCULATION BY A PERTURBATIONAL APPROACH

The perturbational approach to the Faddeev equation proposed by us is applied to the H3 bound state. The perturbation iteration is found to converge beautifully, leaving no question about its usefulness. Using the Reid soft-core potential, we obtain the H3 binding energy at 6.62 MeV, P(S)=90.28%, P(S)=1.70%, and P(D)=8.02%, for the three-body state consisting of the two-body pair in the S01 and the S13=D13 state with the third particle in the s-state relative to the center-of-mass of the pair. The contribution from the third particle in the d-state adds to the binding energy only a small fraction (0.05 MeV). The one-body charge form factor of He3 has a dip at q216 fm-2, and the height of the second peak is about an order of magnitude too low compared to the data. Each Faddeev component of the triton wave function as a function of the relative distance of a pair has a node near the core radius in its S01 and S13 components, but no node is found in the D13 component. The wave function as a function of the spectator coordinate extends over quite large distances without a node in any component. The nodes are attributed to the strong soft-core and the particle exchange effects. NUCLEAR STRUCTURE Triton bound state. Exact solution of the Faddeev equation by a perturbative approach. Binding energy; 6.62 MeV. Node of the wave function near the core radius. © 1979 The American Physical Society.