Abstract

It is widely known that the considerable underestimation of the nucleon axial-vector coupling constant g A is an undesirable common feature of soliton models of the nucleon based on the so-called “hedgehog” configuration. This fundamental physical quantity is reanalyzed within the framework of the chiral quark soliton model. The path integral quantization based on the cranking procedure leads to a systematic power series expansion in the Coriolis coupling (which scales as 1 N c ) induced by the isorotation of the hedgehog mean field. We find that an important 1 N c corrections exists in this scheme and it greatly improves the situation for the g A problem.

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