Fermion-Number Variation for Several Coupling Schemes in an $\mathrm{SU}(N)$ Chiral Soliton Background

When topological solitons are coupled to fermions, they often induce a nontrivial fermion number. In the chiral quark soliton model (CQSM), this phenomenon underlies the identification of soliton topology with baryon number. However, whether this topology--fermion-number correspondence is determined