  This paper is a PhD thesis defended at Institute of Theoretical Physics and
Astronomy on 18 December, 1998. The following (abbreviated) statements
represent the main results of the work:
  1.Each of SU(2) representation j yields the different quantum Lagrangian
density. As a consequence, theoretical observables depend on representation j
which can be treated as a new phenomenological parameter. 2.Quantum chiral
solitons exist and possess asymptotic behaviour consistent with the massive
Yukawa field fall. The asymptotic shape and PCAC relation leads to the correct
asymptotic equation coinciding with contribution of explicitly broken term. 3.A
nucleon and \Delta_{33}-resonance are the only stable states for irreducible
representations j=3/2 and j=2. Unphysical tower of states l_{spin} =l_{isospin}
is, therefore, terminated by choosing the appropriate SU(2) representations.
4.Higher spin l> 1/2 quantum states are not "spherically symmetric". The
Hamiltonian density function depends on the polar angle theta. 5.Each of the
spin-isospin state yields the different range of realizable values of the
parameter e. 6.A very good agreement with experimental data is obtained for
axial coupling constant g_A in higher representations of SU(2), the problem
being previously unsolved by using various extensions of the model in the
fundamental representation of SU(2). 7.The basic quantum Skyrme model provides
considerable improvements in nucleon magnetic momenta and, especially, in
neutron charge density distribution.
