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Solving the sigma model with quarks using a generalized hedgehog ansatz

Authors: M. Fiolhais, K. Goeke and J. Urbano

Ref.: Fizika (suppl. 2) 19, 51-55 (1987)

Abstract: Approximate solutions of the chiral soliton model based on the sigma model with quarks are presented, starting from a generalized hedgehog ansatz. The Peierls-Yoccoz projection method is used to obtain states with good angular momentum and isospin quantum numbers. Several properties of the nucleon are calculated. Due to the generalization of the hedgehog, significant improvements in virial theorems and the Goldberger-Treiman relation have been found.