  Properties of the ground state and the spectrum of elementary excitations are
investigated for the low density ultracold spinor 3D Bose gas of particles with
arbitrary nonzero spin. Gross-Pitaevskii equations are derived. Within the
framework of the considering interaction Hamiltonian it is shown that the
ground state spin structure and spin part of the chemical potential is
determined by the renormalized interaction, being defined by the contribution
of the virtual large momenta. The ferromagnetic structure of the ground state,
and the equation of the phase, density, and spin dynamics are obtained from
Gross-Pitaevskii equations.
