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MIT bag model with chiral solitons

1986; American Physical Society; Volume: 33; Issue: 9 Linguagem: Inglês

10.1103/physrevd.33.2679

1538-4500

Ian Duck, James Reed,

Particle physics theoretical and experimental studies

A chiral-invariant version of the MIT bag model is solved numerically including the (\ensuremath{\sigma},\ensuremath{\pi},quark) interactions of the chiral-soliton model based on the Gell-Mann--Levy theory of hidden chiral symmetry. Rafelski's virial theorem is extended to the case of bagged quarks and provides a check of the numerical solutions. For strong meson-quark coupling, the bag plays almost no role and we recover a description of the nucleon similar to that of Birse and Banerjee. In the opposite limit, where the bag-confined quarks interact weakly with the \ensuremath{\sigma} and \ensuremath{\pi} mesons, we have a picture similar to the cloudy-bag model. Consideration of the pion-nucleon \ensuremath{\sigma} commutator favors the latter picture.