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arXiv · 0704.2101

Momentum distribution and correlation of two-nucleon relative motion in $^6$He and $^6$Li

W. Horiuchi·Y. Suzuki
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Abstract

The momentum distribution of relative motion between two nucleons gives information on the correlation in nuclei. The momentum distribution is calculated for both $^{6}$He and $^6$Li which are described in a three-body model of $α$+$N$+$N$. 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 $N$-$N$ interaction. With use of a realistic potential, the $^6$He momentum distribution exhibits a dip around 2 fm$^{-1}$ characteristic of $S$-wave motion. In contrast to this, the $^6$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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W. Horiuchi, Y. Suzuki. 2007-04-17. Momentum distribution and correlation of two-nucleon relative motion in $^6$He and $^6$Li. https://doi.org/10.1103/physrevc.76.024311

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