Three-Body Wave Function of Li 6

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Abstract
Low-lying states of Li6 have been investigated by regarding Li6 as a three-particle system consisting of an α-particle, a proton and a neutron. The Faddeev equation for bound states of this system below the three-particle threshold is solved by the nonlocal separable potential of Yamaguchi type. The binding energy of Li6 is reproduced by the fact that N-N and α-N interactions are assumed to be central, and central plus L-S forces, respectively. The energy of the first-excited state of Li6 is well reproduced by the fact that N-N and α-N interactions are assumed to be central plus tensor, and central plus L-S forces, respectively. The energy of the second-excited state of Li6 is reproduced by the fact that N-N and α-N interactions are central, and central plus L-S forces, respectively. The form factor for the excitation by electron scattering from the ground state to the second-excited state in Li6 is calculated with our model wave function. The calculated form factor is rather larger at higher momentum transfer and the calculated rms radius of Li6 is rather small, in comparison with experimental data.

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