Abstract
We study the one-body momentum distribution at different densities in nuclear matter, with special emphasis on its components at high momentum. Explicit calculations for finite neutron-proton asymmetry, based on the ladder self-consistent Green's function approach, allow us to access the isospin dependence of momentum distributions and elucidate their role in neutron-rich systems. Comparisons with the deuteron momentum distribution indicate that a substantial proportion of high-momentum components are dominated by tensor correlations. We identify the density dependence of these tensor correlations in the momentum distributions. Further, we find that high-momentum components are determined by the density of each subspecies and we provide a new isospin-asymmetry scaling of these components. We use different realistic nucleon-nucleon interactions to quantify the model dependence of our results.
Highlights
Short-range correlations (SRCs) have been unambiguously identified in a variety of nuclear and hadronic physics experiments [1,2,3,4,5,6,7,8]. Their presence is subtle at the one-body level because they occur at large missing energy and not near the Fermi energy [3]
At the two-body level, these correlations must occur at all energy scales on account of the expected reduction of the amplitude for nucleons to be found at small relative distances
A clear manifestation of these correlations is the population of high-momentum components of the single-particle momentum distribution [9,10]
Summary
Short-range correlations (SRCs) have been unambiguously identified in a variety of nuclear and hadronic physics experiments [1,2,3,4,5,6,7,8]. Experiments indicate that two-body correlations are dominated by neutron-proton components [6] This suggests that tensor correlations, in addition to SRCs, can play a role in the high-momentum structure of the nuclear wave function. Owing to its very nature, as an effective-field-theory potential, the interaction requires a momentum cutoff, which is chosen at 500 MeV This NN force induces relatively few high-momentum components in the many-body wave function. Let us note that we have checked that the results obtained with Av6 , the simplest Argonne interaction to include tensor terms, are very close to those provided by the fully realistic Av18 This is an indication of the importance of tensor terms in the physics at play discussed in the following. Whether this reduction affects the observable bulk properties of neutron-star matter is still under discussion
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