We consider the quantization of chiral solitons with baryon number B >
1. Classical solitons are obtained on the basis of a variational appro
ach. From the form of the soliton solution, it can be seen that, in ad
dition to the group of symmetry describing transformations of the conf
iguration as a whole, there are additional symmetries corresponding to
internal transformations. Taking into account the additional degrees
of freedom leads to some sort of spin alignment for Light nuclei and y
ields constraints on their spectra.