Microscopic Foundations of the Interacting Boson Model from the Shell-Model Point of View

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概要

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• The validity of the essential ingredients of the microscopic formulation of the interacting boson model: (i) truncation of the shell-Model or fermion space and (ii) the procedures for mapping the truncated fermion space on to the boson space, is tested over various (spherical, deformed and transitional) regions both in the simplistic single j-shell, identical boson systems and the more realistic multi j-shell, proton-neutron systems depending on the feasibility of such calculations. In the situations where the truncation and mapping procedures fail to reproduce the exact shell-model results, it is demonstrated that renormalization and higher order mapping procedures cure the associated problems, respectively and provide excellent agreements. In addition, a Hamiltonian of the interacting boson-fermion model which is relevant for a study of odd mass nuclei is derived for a single j-shell case in the shell-model framework, which yields results identical to those in the shell-model for the monopole pairing interaction.

• 理論物理学刊行会の論文
• 1997-03-25

著者

• YOSHINAGA Naotaka

  Department of Physics, College of Liberal Arts, Saitama University

• Mizusaki T

  Institute Of Natural Sciences Senshu University

• ARIMA Akito

  The House of Councilors

• Arima Akito

  Riken

• Mizusaki Takahiro

  Department Of Physics University Of Tokyo

• Yoshinaga Naotaka

  Department Of Physics College Of Liberal Arts Saitama University

• DEVI Yelamanchili

  RIKEN

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