Significance and properties of internucleon correlation functions

TL;DR

This paper demonstrates a one-to-one correspondence between nuclear Hamiltonians and internucleon correlation functions, highlighting the significance of tensor and short-range correlations in nuclear interactions.

Contribution

It establishes a direct link between nuclear Hamiltonians and correlation functions, and calculates specific correlation functions for s-shell nuclei with AV8' interactions.

Findings

Tensor correlations are crucial in nuclear structure.

Short-range central correlations are significant.

Asymptotic behavior of correlation functions is analyzed.

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.