Transition from Spherical to Deformed Shapes of Nuclei in the Monte Carlo Shell Model

Noritaka Shimizu; Takaharu Otsuka; Takahiro Mizusaki; Michio Honma

doi:10.1103/PhysRevLett.86.1171

Transition from Spherical to Deformed Shapes of Nuclei in the Monte Carlo Shell Model

Noritaka Shimizu, Takaharu Otsuka, Takahiro Mizusaki, and Michio Honma

Phys. Rev. Lett. 86, 1171 – Published 12 February 2001

Abstract

The transition from spherical to deformed shapes is studied in terms of large-scale shell-model calculations for Ba isotopes as a function of valence nucleon number with fixed single-particle space and Hamiltonian. A new version of the Monte Carlo shell model is introduced so as to incorporate pairing correlations efficiently, by utilizing condensed pair bases. The energy levels and electromagnetic matrix elements are described in agreement with experiments throughout the transitional region. The orbital $M 1$ sum rule is calculated as a measure of the deformation evolution, and the $Q$ -phonon picture is shown to be reasonable from spherical to deformed nuclei.

Received 27 July 2000

DOI:https://doi.org/10.1103/PhysRevLett.86.1171

Authors & Affiliations

Noritaka Shimizu^1,2, Takaharu Otsuka^1,2, Takahiro Mizusaki³, and Michio Honma⁴

¹Department of Physics, University of Tokyo, Hongo, Tokyo 113-0033, Japan
²RIKEN, Hirosawa, Wako-shi, Saitama 351-0198, Japan
³Department of Law, Senshu University, Higashimita, Tama, Kawasaki, Kanagawa, 214-8580, Japan
⁴Center for Mathematical Sciences, University of Aizu, Tsuruga, Ikki-machi, Aizu-Wakamatsu, Fukushima 965-8580, Japan