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Toward extremes of angular momentum: Application of the Pfaffian algorithm in realistic calculations

Long-Jun Wang, Fang-Qi Chen, Takahiro Mizusaki, Makito Oi, and Yang Sun
Phys. Rev. C 90, 011303(R) – Published 21 July 2014

Abstract

In a calculation of rotated matrix elements with angular momentum projection, the generalized Wick's theorem may encounter a practical problem of combinatorial complexity when the configurations have more than four quasiparticles (qp's). The problem can be solved by employing the Pfaffian algorithm generally applicable to calculations of matrix elements for Hartree-Fock-Bogoliubov states with any number of qp's. This breakthrough in many-body techniques enables studies of high-spin states in a shell-model framework. As the first application of the Pfaffian algorithm, the configuration space of the projected shell model is expanded to include 6-qp states for both positive and negative parities. Taking Hf166 as an example, we show that 6-qp states become the main configuration of the yrast band beyond spin I34, which explains the observed third back-bending in moment of inertia. Structures of multi-qp high-K isomers in Hf176 are analyzed as another example.

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  • Received 28 April 2014
  • Revised 27 June 2014

DOI:https://doi.org/10.1103/PhysRevC.90.011303

©2014 American Physical Society

Authors & Affiliations

Long-Jun Wang1, Fang-Qi Chen1,2, Takahiro Mizusaki3, Makito Oi3, and Yang Sun1,4,*

  • 1Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China
  • 2China Institute of Atomic Energy, Beijing 102413, People's Republic of China
  • 3Institute of Natural Sciences, Senshu University, 3-8-1 Kanda-Jinbocho, Chiyoda-ku, Tokyo 101-8425, Japan
  • 4Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, People's Republic of China

  • *Corresponding author: sunyang@sjtu.edu.cn

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Issue

Vol. 90, Iss. 1 — July 2014

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