  In this article a series of solutions with higher baryon numbers in the
chiral quark soliton model are reported. The chiral quark soliton model is a
simple quark model that incorporates the basic features of QCD. The B=2 axially
symmetric soliton solution within this model was obtained numerically. For $B
\ge 3$, in a series of our papers we obtained $B=3 \sim 9,17$ minimal energy
soliton solutions with point-like symmetries and $B=3 \sim 5$ axially symmetric
saddle-point solutions, using rational map ansatz constructed for multi-baryon
number skyrmions. An interesting property of the solutions is that the symmetry
of the background configuration is reflected in the degeneracy of the valence
quark spectra. We also confirm the existence of the quark shell structure. The
shells consist of the four-fold degenerate ground state and higher levels with
various patterns, which are realized by the interplay of two symmetries,
$SU(2)_L\times SU(2)_R$ symmetry for the quarks and the symmetries of the
chiral fields. To obtain correct physical observable, the quantum corrections
are necessary. We shall show the quantum states of the axisymmetric solitons
within the collective quantization. Upon quantization, various observable
spectra of the chiral solitons are obtained. According to the
Finkelstein-Rubinstein constraints, the quantum numbers of the solitons
coincide with the physical observations only for B=2 and 4 while B=3 and 5 do
not. The SU(3) extension of the B=2 soliton is also studied to predict various
strange dibaryon states within this model.
