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Solution of a symmetry conserving chiral soliton model for nucleon and delta

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Zeitschrift für Physik A Atomic Nuclei

Abstract

The linear chiral soliton model is solved for nucleon and delta by constructing Fock states in the coherent pair approximation with correct spin and isospin properties. The quark configurations are those arising from theSU(2)×SU(2) coupling of three quarks in 1s-orbits. The overall Fock state is formed by the vector coupling of the quark configurations with the pion coherent state and thus avoids the use of the hedgehog ansatz. The sigma field is treated in the mean field approximation. Equations of motion for the quark, sigma and pion fields are solved in the static approximation. Soliton solutions are found with properties that are in reasonable agreement with those observed for the nucleon and delta including the axial vector coupling constant. With only components having zero and one unpaired pion in the coherent pair approximation the nucleon mass is found to be larger than that using the projected hedgehog approach.

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Authors and Affiliations

  1. Institut für Kernphysik, Kernforschungsanlage Jülich, Federal Republic of Germany

    K. Goeke & F. Grümmer

  2. Institut für Theoretische Kernphysik, Universität Bonn, Federal Republic of Germany

    K. Goeke

  3. Chalk River Nuclear Laboratories, Chalk River, Ontario, Canada

    M. Harvey

  4. Institut für Theoretische Physik, Universität Hannover, Federal Republic of Germany

    U. -J. Wiese

  5. Centro de Fisica Teorica (INIC) and Departamento de Fisica, Universidade de Coimbra, Portugal

    J. N. Urbano

Authors
  1. K. Goeke
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  2. M. Harvey
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  3. U. -J. Wiese
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  4. F. Grümmer
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  5. J. N. Urbano
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Additional information

Dedicated to Professor Theo Mayer-Kuckuk on the occasion of his 60th birthday

This work has been supported by the NATO Grant RG85/0217, by the Bundesministerium für Forschung und Technologie, Bonn, and by the J.N.I.C.T., Lisboa. The authors are grateful to M.K. Banerjee, M.C. Birse and L. Wilets for useful discussions.

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Goeke, K., Harvey, M., Wiese, U.J. et al. Solution of a symmetry conserving chiral soliton model for nucleon and delta. Z. Physik A - Atomic Nuclei 326, 339–343 (1987). https://doi.org/10.1007/BF01289535

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  • DOI: https://doi.org/10.1007/BF01289535

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