Significance and properties of internucleon correlation functions

Abstract

We show that a nuclear Hamiltonian and a set of internucleon correlation functions is in a one-to-one correspondence. The correlation functions for $s$-shell nuclei interacting via the two-nucleon interaction of AV8${}^{\prime }$ type are calculated to exhibit the importance of tensor correlations as well as short-range central correlation. The asymptotic behavior of the correlation functions is also discussed.

19 pages, 5 figures

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• Nucleon momentum distributions, their spin-isospin dependence and short-range correlations
• Short-range correlations in nuclei with similarity renormalization group transformations
• Universality of nucleon-nucleon short-range correlations: the factorization property of the nuclear wave function, the relative and center-of-mass momentum distributions, and the nuclear contacts
• Universality of nucleon-nucleon short-range correlations and nucleon momentum distributions
• High-momentum antisymmetrized molecular dynamics compared with tensor-optimized shell model for strong tensor correlation
• A microscopic nucleon spectral function for finite nuclei featuring two- and trhee-nucleon short-range correlations: I. The model vs. ab-initio calculations for the three-nucleon systems