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arXiv · 0806.1718

Dependence of two-nucleon momentum densities on total pair momentum

R. B. Wiringa·R. Schiavilla·Steven C. Pieper·J. Carlson
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Abstract

Two-nucleon momentum distributions are calculated for the ground states of 3He and 4He as a function of the nucleons' relative and total momenta. We use variational Monte Carlo wave functions derived from a realistic Hamiltonian with two- and three-nucleon potentials. The momentum distribution of pp pairs is found to be much smaller than that of pn pairs for values of the relative momentum in the range (300--500) MeV/c and vanishing total momentum. However, as the total momentum increases to 400 MeV/c, the ratio of pp to pn pairs in this relative momentum range grows and approaches the limit 1/2 for 3He and 1/4 for 4He, corresponding to the ratio of pp to pn pairs in these nuclei. This behavior should be easily observable in two-nucleon knock-out processes, such as A(e,e'pN).

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R. B. Wiringa, R. Schiavilla, Steven C. Pieper, J. Carlson. 2008-06-10. Dependence of two-nucleon momentum densities on total pair momentum. https://doi.org/10.1103/physrevc.78.021001

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