Abstract
We discuss a container structure for non-gaslike cluster states, in which single Tohsaki-Horiuchi-Schuck-ROpke (THSR) wave functions are shown to be almost 100% equivalent to the full solutions of the corresponding RGM/GCM equations, for the inversion doublet band states in 20Ne, α-linear-chain states, and α + α + A cluster states in 9ΛBe. The recognition of the fact that the THSR wave function describes well not only gaslike cluster states but also non-gaslike cluster states is a recent remarkable development of nuclear cluster physics. This fact tells us that the cluster structure is composed of cluster-mean-field motion under the constraint of inter-cluster Pauli repulsion, in which we call the cluster-mean-field potential the container. We demonstrate that the evolution of the cluster structure of a nucleus is governed by the size parameter of the cluster-mean-field potential (container), for 16O nucleus.
Highlights
The gaslike cluster structure is a novel type of nuclear clustering
The recognition of the fact that the THSR wave function describes well gaslike cluster states and non-gaslike cluster states is a recent remarkable development of nuclear cluster physics. This fact tells us that the cluster structure is composed of cluster-mean-field motion under the constraint of inter-cluster Pauli repulsion, in which we call the cluster-mean-field potential the container
EPJ Web of Conferences we refer to as the Tohsaki-Horiuchi-Schuck-Ropke (THSR) wave function [2], focusing on an analogy to the α condensation in nuclear matter [3]. After it was found in 2003 that the fully-microscopic wave functions of the 3α resonating group method (RGM) and generator coordinate method (GCM) obtained long time ago are almost 100 % equivalent to single THSR wave functions, we have had a new understanding of the Hoyle state that is the 3α condensate, where the 3α particles loosely couple with each other like a gas and occupy the lowest energy S-orbit of meanfield-like single-α potential [4]
Summary
The gaslike cluster structure is a novel type of nuclear clustering. The structure was first suggested in the study of 12C, in which the Hoyle state (the second 0+ state of 12C at 7.65 MeV) was found to have a large root-meansquare (r.m.s.) radius and a loosely coupled S-wave component dominantly with respect to the relative α-α motions, like a gas. EPJ Web of Conferences we refer to as the Tohsaki-Horiuchi-Schuck-Ropke (THSR) wave function [2], focusing on an analogy to the α condensation in nuclear matter [3]. After it was found in 2003 that the fully-microscopic wave functions of the 3α RGM and GCM obtained long time ago are almost 100 % equivalent to single THSR wave functions, we have had a new understanding of the Hoyle state that is the 3α condensate, where the 3α particles loosely couple with each other like a gas and occupy the lowest energy S-orbit of meanfield-like single-α potential [4]. We will report in this contribution that the container structure is realized for the gaslike cluster states and for the non-gaslike cluster states, by showing that the THSR-type wave functions describe well non-gaslike cluster states mentioned above
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