Nonlocalized clustering and evolution of cluster structure in nuclei

doi:10.1007/s11467-019-0917-0

Frontiers of Physics

2020, Vol. 15

Issue (1): 14401 https://doi.org/10.1007/s11467-019-0917-0

本期目录

Nonlocalized clustering and evolution of cluster structure in nuclei

Bo Zhou^1,²(

), Yasuro Funaki³(

), Hisashi Horiuchi⁴(

), Akihiro Tohsaki⁴(

)

¹. Institute for the Advancement of Higher Education, Hokkaido University, Sapporo 060-0817, Japan
². Department of Physics, Hokkaido University, Sapporo 060-0810, Japan
³. College of Science and Engineering, Kanto Gakuin University, Yokohama 236-8501, Japan
⁴. Research Center for Nuclear Physics (RCNP), Osaka University, Osaka 567-0047, Japan

全文: PDF(10188 KB)

Abstract：

We explain various facets of the THSR (Tohsaki–Horiuchi–Schuck-Röpke) wave function. We first discuss the THSR wave function as a wave function of cluster-gas state, since the THSR wave function was originally introduced to elucidate the 3α-condensate-like character of the Hoyle state ( $02 +$ state) of ¹²C. We briefly review the cluster-model studies of the Hoyle state in 1970’s in order to explain how there emerged the idea to assign the α condensate character to the Hoyle state. We then explain that the THSR wave function can describe very well also non-gaslike ordinary cluster states with spatial localization of clusters. This fact means that the dynamical motion of clusters is of nonlocalized nature just as in gas-like states of clusters and the localization of clusters is due to the inter-cluster Pauli principle which is against the close approach of two clusters. The nonlocalized cluster dynamics is formulated by the container model of cluster dynamics. The container model describes gas-like state and non-gaslike states as the solutions of the Hill–Wheeler equation with respect to the size parameter of THSR wave function which is just the size parameter of the container. When we notice that fact that the THSR wave function with the smallest value of size parameter is equivalent to the shell-model wave function, we see that the container model describes the evolution of cluster structure from the ground state with shell-model structure up to the gas-like cluster state via ordinary non-gaslike cluster states. For the description of various cluster structure, more generation of THSR wave function have been introduced and we review some typical examples with their actual applications.

Key words： Hoyle state alpha condensation THSR wave function nonlocalized clustering container model evolution of cluster structure

收稿日期: 2019-04-27 出版日期: 2019-08-29

Corresponding Author(s): Bo Zhou,Yasuro Funaki,Hisashi Horiuchi,Akihiro Tohsaki

引用本文:

. [J]. Frontiers of Physics, 2020, 15(1): 14401.
Bo Zhou, Yasuro Funaki, Hisashi Horiuchi, Akihiro Tohsaki. Nonlocalized clustering and evolution of cluster structure in nuclei. Front. Phys. , 2020, 15(1): 14401.

链接本文:

https://academic.hep.com.cn/fop/CN/10.1007/s11467-019-0917-0
https://academic.hep.com.cn/fop/CN/Y2020/V15/I1/14401

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