Abstract
The momentum distribution of relative motion between two nucleons gives information on the correlation in nuclei. The momentum distribution is calculated for both $^{6}\mathrm{He}$ and $^{6}\mathrm{Li}$, which are described in a three-body model of $\ensuremath{\alpha}+N+N$. The ground-state solution for the three-body Hamiltonian is obtained accurately using correlated basis functions. The momentum distribution depends on the potential model for the $N\text{\ensuremath{-}}N$ interaction. With use of a realistic potential, the $^{6}\mathrm{He}$ momentum distribution exhibits a dip around 2 fm${}^{\ensuremath{-}1}$ characteristic of $S$-wave motion. In contrast to this, the $^{6}\mathrm{Li}$ momentum distribution is very similar to that of the deuteron; no dip appears because it is filled with the $D$-wave component arising from the tensor force.
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