  Quantizing a soliton on a hypersphere, we obtain the first class Hamiltonian,
and evaluate the baryon physical quantities which are in good agreement with
the corresponding experimental data. In particular, we find that the predicted
value for axial coupling constant is comparable to its experimental value. The
prediction for delta baryon mass possessing the Weyl ordering correction
obtained in the first class Dirac quantization is improved comparing with that
in the second class canonical quantization performed on the hypersphere. Making
use of the same input parameters associated with the baryon masses, we also
investigate the hypersphere soliton and standard Skyrmion models to compare the
corresponding predictions for the physical quantities effectively. Next, we
evaluate the intrinsic frequencies of the pulsating baryons. We thus find that
the intrinsic pulsating frequency of more massive particle is greater than that
of the less massive one. We explicitly evaluate the intrinsic frequencies
$\omega_{N}=0.87\times 10^{23}~{\rm sec}^{-1}$ and $\omega_{\Delta}=1.74\times
10^{23}~{\rm sec}^{-1}$ of the nucleon and delta baryon, respectively, to yield
the identity $\omega_{\Delta}=2\omega_{N}$.
