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Spin-dependent potentials in the linearized collective Schrödinger equation for nuclear quadrupole vibrations

  • Nuclear Structure and Reactions
  • Published:
Zeitschrift für Physik A Atomic Nuclei

Abstract

The linearized collective Schrödinger equation for nuclear quadrupole surface vibrations incorporates a new spin degree of freedom with a spin value of 3/2. We use this equation to describe the low energy spectrum of certain even-odd Ir nuclei which have a spin 3/2 in their ground state. For that purpose we explicitly introduce collective spin-dependent potentials which simulate the interaction of the valence nucleon with the core. The linearized Schrödinger equation is transformed into an effective Schrödinger equation with collective spin-dependent potentials. Already collective spin-orbit couplings of SO(3) and SO(5) type are sufficient to reproduce the lowest excited states of even-odd Ir nuclei.

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Authors and Affiliations

  1. Institut für Theoretische Physik der Justus-Liebig-Universität, Giessen, Federal Republic of Germany

    M. Greiner, D. Heumann & W. Scheid

Authors
  1. M. Greiner
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  2. D. Heumann
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  3. W. Scheid
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Dedicated to Professor Friedel Sellschop on the occasion of his 60th birthday.

Work supported by BMFT (06GI 709)

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Greiner, M., Heumann, D. & Scheid, W. Spin-dependent potentials in the linearized collective Schrödinger equation for nuclear quadrupole vibrations. Z. Physik A - Atomic Nuclei 336, 139–144 (1990). https://doi.org/10.1007/BF01290614

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  • DOI: https://doi.org/10.1007/BF01290614

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