Symmetry Breaking and Bifurcations in the Periodic Orbit Theory.II : Spheroidal Cavity

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概要

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• We derive a semiclassical trace formula for the level density of a three-dimensional spheroidal cavity. To overcome the divergences and discontinuities occurring at bifurcation points and in the spherical limit, the trace integrals over the action-angle variables are performed using an improved stationary phase method. The resulting semiclassical level density oscillations and shell energies are in good agreement with quantum-mechanical results. We find that the births of three-dimensional orbits through the bifurcations of planar orbits in the equatorial plane lead to considerable enhancement of the shell effect for superdeformed shapes.

• 理論物理学刊行会の論文
• 2002-11-25

著者

• 松柳 研一

  理研仁科セ

• 松柳 研一

  Theoretical Nuclear Physics Laboratory Riken Nishina Center:yukawa Institute For Theoretical Physics

• 松柳 研一

  京都大学大学院理学研究科

• Arita Ken-ichiro

  Department Of Physics Nagoya Institute Of Technology

• Arita Ken-ichiro

  Department Of Physics Kyoto University

• MATSUYANAGI Kenichi

  Department of Physics, Graduate School of Science, Kyoto University

• Matsuyanagi Kenichi

  Theoretical Nuclear Physics Laboratory Riken Nishina Center

• Matsuyanagi Kenichi

  Department Of Physics Graduate School Of Science Kyoto University

• Magner A

  Department Of Physics Graduate School Of Science Kyoto University:laboratoire De Spectrometrie Physi

• MAGNER Alexander

  Research Center for Nuclear Physics, Osaka University

• FEDOTKIN Sergey

  Institute for Nuclear Research

• Fedotkin S

  Institute For Nuclear Research:institute For Theoretical Physics University Of Regensburg

• ARITA Kenichiro

  Department of Physics, Nagoya Institute of Technology

• MAGNER Alexander

  Institute for Nuclear Research : Institute for Theoretical Physics, University of Regensburg : Department of Physics, Graduate School of Science, Kyoto University

• MAGNER Alexander

  Research Center for Nuclear Physics, Osaka University:Institute for Nuclear Research:Institute for Theoretical Physics, University of Regensburg

• ARITA Ken-ichiro

  Department of Physics, Nagoya Institute of Technology

• ARITA Ken-ichiro

  Department of Physics, Kyoto University

• Fedotkin Sergey

  Institute for Nuclear Research:Institute for Theoretical Physics, University of Regensburg

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