How to visualize nuclear many-body correlations?
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A method to visualize many-body correlations using the information of the full wave
function is presented [1]. The set of nucleon coordinates which maximizes the square of the
wave function, that is, the most probable spatial configuration of nucleons, is visualized. The
method is applied to Hartree-Fock (HF) and HF+BCS wave functions of p- and sd-shell
nuclei to analyze the many-body correlations in those systems. It is found that there are
alpha-cluster-like four-body correlations already at the HF level in some of the nuclei. The
effects of pairing on the most probable configuration are also investigated. The method is
useful to analyze the nuclear many-body correlations, and it suggests a new viewpoint to
microscopic nuclear wave functions.
[1] Moemi Matsumoto and Yusuke Tanimura, Phys. Rev. C 106, 014307 (2022).
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