Infinitesimal cranking for triaxial angular-momentum-projected configuration-mixing calculations and its application to the γ vibrational band

Shingo Tagami, Yoshifumi Shimizu

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Inclusion of time-odd components into the wave function is important for a reliable description of rotational motion by the angular-momentum-projection method; the cranking procedure with infinitesimal rotational frequency is an efficient way to realize it. In the present work we investigate the effect of this infinitesimal cranking for a triaxially deformed nucleus, where there are three independent cranking axes. It is found that the effects of cranking about three axes on the triaxial energy spectrum are quite different and inclusion of all of them considerably modifies the resultant spectrum from the one obtained without cranking. Employing the Gogny D1S force as an effective interaction, we apply the method to the calculation of the multiple γ vibrational bands in Er164 as a typical example, where the angular-momentum-projected configuration mixing with respect to the triaxial shape degree of freedom is performed. With this method, both the K=0 and the K=4 two-phonon γ vibrational bands are obtained with considerable anharmonicity. Reasonably good agreement, though not perfect, is obtained for both the spectrum and transition probabilities with rather small average triaxial deformation γ≈9 for the ground-state rotational band. The relation to the wobbling motion at high-spin states is also briefly discussed.

Original languageEnglish
Article number024323
JournalPhysical Review C
Volume93
Issue number2
DOIs
Publication statusPublished - Feb 29 2016

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angular momentum
configurations
inclusions
transition probabilities
energy spectra
degrees of freedom
projection
wave functions
nuclei
ground state
interactions

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Infinitesimal cranking for triaxial angular-momentum-projected configuration-mixing calculations and its application to the γ vibrational band. / Tagami, Shingo; Shimizu, Yoshifumi.

In: Physical Review C, Vol. 93, No. 2, 024323, 29.02.2016.

Research output: Contribution to journalArticle

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