New development of the projected shell model and description of low-lying collective states in transitional nuclei

Description of the interplay between different nuclear shapes is an interesting but challenging problem. The original projected shell model (PSM) is applicable to nuclei with fixed shapes. We extend the PSM by superimposing (angular-momentum- and particle-number-) projected product wave functions in...

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Main Authors: Chen Fang-Qi, Sun Yang
Format: Article
Language:English
Published: EDP Sciences 2013-12-01
Series:EPJ Web of Conferences
Online Access:http://dx.doi.org/10.1051/epjconf/20136301004
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author Chen Fang-Qi
Sun Yang
author_facet Chen Fang-Qi
Sun Yang
author_sort Chen Fang-Qi
collection DOAJ
description Description of the interplay between different nuclear shapes is an interesting but challenging problem. The original projected shell model (PSM) is applicable to nuclei with fixed shapes. We extend the PSM by superimposing (angular-momentum- and particle-number-) projected product wave functions in the spirit of the generate coordinate method. With this development, the Gd isotopes across the N = 90 region are studied, and the results indicate spectroscopic features of shape phase transition with varying neutron number. In order to illustrate the shape distribution in microscopic wave functions, we introduce a deformation representation and show that the collectively excited Kπ = 0+ states in the Gd isotopes have characters of shape vibration.
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spelling doaj.art-8cbfc44b650a4f3793d9f0aaccea06832022-12-21T23:18:33ZengEDP SciencesEPJ Web of Conferences2100-014X2013-12-01630100410.1051/epjconf/20136301004epjconf_hias2013_01004New development of the projected shell model and description of low-lying collective states in transitional nucleiChen Fang-Qi0Sun YangDepartment of Physics and Astronomy, Shanghai Jiao Tong UniversityDescription of the interplay between different nuclear shapes is an interesting but challenging problem. The original projected shell model (PSM) is applicable to nuclei with fixed shapes. We extend the PSM by superimposing (angular-momentum- and particle-number-) projected product wave functions in the spirit of the generate coordinate method. With this development, the Gd isotopes across the N = 90 region are studied, and the results indicate spectroscopic features of shape phase transition with varying neutron number. In order to illustrate the shape distribution in microscopic wave functions, we introduce a deformation representation and show that the collectively excited Kπ = 0+ states in the Gd isotopes have characters of shape vibration.http://dx.doi.org/10.1051/epjconf/20136301004
spellingShingle Chen Fang-Qi
Sun Yang
New development of the projected shell model and description of low-lying collective states in transitional nuclei
EPJ Web of Conferences
title New development of the projected shell model and description of low-lying collective states in transitional nuclei
title_full New development of the projected shell model and description of low-lying collective states in transitional nuclei
title_fullStr New development of the projected shell model and description of low-lying collective states in transitional nuclei
title_full_unstemmed New development of the projected shell model and description of low-lying collective states in transitional nuclei
title_short New development of the projected shell model and description of low-lying collective states in transitional nuclei
title_sort new development of the projected shell model and description of low lying collective states in transitional nuclei
url http://dx.doi.org/10.1051/epjconf/20136301004
work_keys_str_mv AT chenfangqi newdevelopmentoftheprojectedshellmodelanddescriptionoflowlyingcollectivestatesintransitionalnuclei
AT sunyang newdevelopmentoftheprojectedshellmodelanddescriptionoflowlyingcollectivestatesintransitionalnuclei