Visualization of nuclear many-body correlations with the most probable configuration of nucleons

Abstract

A method to visualize many-body correlations using the information of the full wave function is presented. 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 $N=Z$ even-even 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.

arXiv comment12 pages, 11 figures

References in corpus (25)

• Microscopic Clustering in Light Nuclei
• Local Density Approximation for proton-neutron pairing correlations. I. Formalism
• Overview of Neutron-Proton Pairing
• Pairing correlations in nuclei on the neutron-drip line
• Pfaffian pairing wave functions in electronic structure quantum Monte Carlo
• Coexistence of BCS and BEC-like pair structures in halo nuclei
• Pfaffian pairing and backflow wave functions for electronic structure quantum Monte Carlo methods
• Electron and Nucleon Localization Functions of Oganesson: Approaching the Thomas-Fermi Limit
• Localization in light nuclei
• Alpha-Particle Clustering from Expanding Self-Conjugate Nuclei within the Hartree-Fock-Bogoliubov Approach
• Density Functional Theory studies of cluster states in nuclei
• Dynamical synthesis of 4He in the scission phase of nuclear fission
• Nucleon localization and fragment formation in nuclear fission
• Coexistence of cluster structure and superdeformation in ${}^{44}$Ti studied with deformed-basis antisymmetrized molecular dynamics
• Alpha Cluster Structure and Exotic States in a Self-Consistent Model for Light Nuclei
• Cluster formation in pre-compound nuclei in the time-dependent framework
• Approximation of reduced width amplitude and application to cluster decay width
• Modeling ${}^{19}$B as a ${}^{17}$B-n-n three-body system in the unitary limit
• Energy-density-functional calculations including the proton-neutron mixing
• Pfaffian Formulas and Schur Q-Function Identities
• Isospin-invariant Skyrme energy-density-functional approach with axial symmetry
• Pauli energy contribution to nucleus-nucleus interaction
• Clusterization and deformation of multi-$\Lambda$ hypernuclei within relativistic mean-field model
• Cluster structure of 20Ne: Evidence for D(3h) symmetry
• Unexpectedly enhanced $\alpha$-particle preformation in ${}^{48}$Ti probed by the $(p,p\alpha )$ reaction

Cited by in corpus (4)

• Cluster model of 12C in density functional theory framework
• Local alpha-removal strength in the mean-field approximation
• Generator coordinate method for nuclear octupole excitations: status and perspectives
• Examining the justification for the introduction of a fermion localization function