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The effect of the center of mass motion on the high-momentum distributions ofcorrelated nucleon pairs is studied by solving the Bethe-Goldstone equation innuclear matter with the Granada nucleon-nucleon potential. We show that thiscoarse-grained potential reduces the problem to an algebraic linear system offive (ten) equations for uncoupled (coupled) partial waves that can be easilysolved. The corresponding relative wave functions of correlated pn, pp and nnpairs are computed for different values of their CM momentum. We find that thepn pairs dominate the high-momentum tail of the relative momentum distribution,and that this only depends marginally on center of mass momentum. Our resultsprovide further justification and agreement for the factorization approximationcommonly used in the literature. This approximation assumes that the momentumdistribution of nucleon pairs can be factorized as the product of the center ofmass momentum distribution and the relative momentum distribution.

Center-of-mass momentum dependence of short-range correlations with the coarse-grained Granada potential