Exotic baryon multiplets with a large number of colors

We generalize the usual octet, decuplet, and exotic antidecuplet and higher baryon multiplets to any number of colors $N_c.$ We show that the multiplets fall into a sequence of bands with ${O(1/N}_c)$ splittings inside the band and $O\left(1\right)\mathrm{}$ splittings between the bands characterized by “exoticness,” that is, the number of extra quark-antiquark pairs needed to compose the multiplet. Each time one adds a pair the baryon mass is increased by the same constant which can be interpreted as the mass of a quark-antiquark pair. At the same time, we prove that masses of exotic rotational multiplets are reliably determined at large $N_c$ from collective quantization of chiral solitons.