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Scissors-Mode Vibrations and the Emergence of SU(3) Symmetry from the Projected Deformed Mean Field

Yang Sun1,2,3, Cheng-Li Wu1,4, Kumar Bhatt1,5, Mike Guidry2,3, and Da Hsuan Feng6

  • 1Joint Institute for Heavy Ion Research, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831
  • 2Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996
  • 3Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831
  • 4Department of Physics, Chung Yuan Christian University, Chung-Li, Taiwan 32023, Republic of China
  • 5Department of Physics and Astronomy, University of Mississippi, University, Mississippi 38677
  • 6Department of Physics and Atmospheric Science, Drexel University, Philadelphia, Pennsylvania 19104

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Phys. Rev. Lett. 80, 672 – Published 26 January, 1998

DOI: https://doi.org/10.1103/PhysRevLett.80.672

Abstract

Starting from a deformed potential we construct separate bases of collective neutron and proton rotational states by exact angular momentum projection. These rotational states are then coupled by diagonalizing a residual pairing plus quadrupole interaction. Many new bands emerge that are not found in the rotation of the usual BCS condensate, and may correspond to the geometrical scissors mode and its generalizations. These excitation modes can be understood as rotational bands built on spin- 1ħ phonon excitations; they exhibit a nearly perfect dynamical SU(3) fermion spectrum, even though there is no explicit dynamical symmetry in our model.

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Phys. Rev. Lett. 80, 672– Published 26 January, 1998
  • Received 21 March 1997

© 1998 American Physical Society

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