Physics – Nuclear Physics
Scientific paper
Apr 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979phrvc..19.2035s&link_type=abstract
Physical Review C (Nuclear Physics), Volume 19, Issue 5, May 1979, pp.2035-2049
Physics
Nuclear Physics
32
Scientific paper
The perturbational approach to the Faddeev equation proposed by us is applied to the 3H 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 3H 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 1S0 and the 3S1=3D1 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 3He has a dip at q2~16 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 1S0 and 3S1 components, but no node is found in the 3D1 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.
Sasakawa Tatuya
Sawada Tsuyoshi
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