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RPA description of the electric polarizability of the nucleon

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Zeitschrift für Physik A Hadrons and Nuclei

Abstract

Excited states of the nucleon are described as RPA configurations on a mean-field ground state taken from the MIT bag model. A residual interaction of a structure as in the Nambu-Jona-Lasinio model is used. The particlehole states are coupled to good total angular momentum and isospin. Valence excitations of particle-hole type and quark-antiquark (q\(\bar q\)) states from the Dirac-sea are included. The dependence of the baryon spectrum and multipole response functions on the coupling constantG is studied. At critical values ofG the 3q-ground state becomes degenerate with strongly collectiveq99-2 modes. The model is used to calculate the averaged electric polarizability of the neutron and the protonα. Without residual interactionα=7·10−4 fm 3 is found. With residual interaction the value increases toα=(−11)·10−4 fm 3. The measured value ofα is reproduced within experimental error bars.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Giessen, D-35392, Giessen, Germany

    J. Geiss, H. Lenske & U. Mosel

Authors
  1. J. Geiss
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  2. H. Lenske
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  3. U. Mosel
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Communicated by W. Weise

Supported by GSI and BMBF

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Geiss, J., Lenske, H. & Mosel, U. RPA description of the electric polarizability of the nucleon. Z. Physik A - Hadrons and Nuclei 356, 99–106 (1996). https://doi.org/10.1007/s002180050153

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  • DOI: https://doi.org/10.1007/s002180050153

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