Resonating Hartree-Bogoliubov Theory--Application to a Description of Multiple Shapes Coexistence in Nuclei (原子核集団ダイナミックスの新動向)

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概要

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• We developed a general theory to describe a superconducting Fermion system with large quantum fluctuations. The theory is a direct extension of the resonating Hartree-Fock (HF) theory to the Hartree-Bogoliubov case including pair correlations. We start with an exact coherent state representation of a superconducting Fermion system on a special orthogonal group. A state with large quantum fluctuations is approximated by a superposition of non-orthogonal Hartree-Bogo1iubov (HB) wave functions with different correlation structures. We obtain the variational equations to determine the resonating HB wave functions in a quite parallel manner to the resonating HF theory. In order to show the usefulness of the theory, we apply it to a problem of describing the resonance of multiple shapes coexisting in transitional even nuclei. To avoid an unnecessary complication, we adopt the simplest model consisting of two local energy minima of prolate and oblate shapes founded in a pairing plus quadrupole interaction model with three single particle energy levels.

• 素粒子論グループ 素粒子研究編集部の論文
• 1991-07-20

著者

• FUKUTOME Hideo

  Department of Physics, Kyoto University

• Fukutome Hideo

  Department Of Physics Faculty Of Science Kyoto University

• Nishiyama Seiya

  Department of Physics, Faculty of Science, Kochi University

• Nishiyama Seiya

  Department Of Physics Faculty Of Science Kochi University

• Nishiyama S

  Univ. Coimbra Coimbra Prt

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