  In a general line with our first work (Ann.Phys.302(2002),172;
hep-ph/0207316), within hard thermal loop approximation a general theory of the
scattering for an arbitrary number of colorless plasmons off hard thermal
particles of hot QCD-medium is considered. Using generalized Tsytovich
correspondence principle, a connection between matrix elements of the
scattering processes and a certain effective current, generating these
processes is established. The iterative procedure of calculation of these
matrix elements is defined, and a problem of their gauge-invariance is
discussed. An application of developed theory to a problem of calculating
energy losses of energetic color particle propagating through QCD-medium is
considered. It is shown that for limiting value of the plasmon occupation
number ($\sim 1/g^2$, where $g$ is a strong coupling) energy losses caused by
spontaneous scattering process of energetic particle off soft-gluon waves is of
the same order in the coupling as other known losses type: collision and
radiation ones. The Fokker-Planck equation, describing decceleration
(acceleration) and diffusion in momentum space of beam of energetic color
particles scattering off soft excitations of quark-gluon plasma, is derived.
