The gA Problem in the Skyrme Model and the Fermion-Boson Non-Correspondence

Abstract

The recently discovered first order rotational correction to the nucleon axial-vector coupling constant gA within the chiral quark soliton model appears to provide us with an unexpectedly simple solution to the long-standing gA problem in the Skyrme model. A prominent feature of this special type of 1/Nc correction is that the corresponding effect is entirely missing in the Skyrme model. We try to clarify the underlying mathematical reason why such a crucial difference appears between the two effective theories of baryons.