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

Authors: K. Goeke, M. Harvey, U. Weise, F. Grümmer and J. Urbano

Ref.: Zeitschrift für Physik A 326, 339-343 (1987)

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 the SU(2) x SU(2) coupling of three quarks in 1st-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 anstaz. 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. 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.