Faddeev treatment of 6Li with a separable potential

Shah, M. S. ; Mitra, A. N. (1970) Faddeev treatment of 6Li with a separable potential Physical Review C, 1 (1). pp. 35-39. ISSN 0556-2813

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Official URL: http://link.aps.org/doi/10.1103/PhysRevC.1.35

Related URL: http://dx.doi.org/10.1103/PhysRevC.1.35


The nucleus 6Li, together with its first excited state 6Li*, is treated as a three-body problem consisting of an a particle, a proton, and a neutron, interacting through separable potentials in pairs. The N-N potential includes a tensor force in addition to a central (S-wave) term of the Yamaguchi type. The p-wave part of the α-N potential is parametrized in terms of the sum of a central and a small spin-orbit term which fits the experimental P3/2 and P1/2α-N phase shifts quite accurately. The smallness of the spin-orbit part justifies its omission from the full three-body equations. The binding energies and the wave functions for the ground (JP=1+) and excited (JP=0+) states of 6Li are calculated by solving the coupled Faddeev equations numerically. The calculated binding energy for the 1+ state is a little higher than, and that for the 0+ state a little lower than, the corresponding experimental values, corrected for Coulomb effects.

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