EXPONENTIAL-GROWTH AND POSSIBLE CONDENSATION OF THE PARTICLE-HOLE EXCITATIONS IN MOVING HOT FERMI LIQUIDS

The production rate of particle-antiparticle and particle-hole excitat ions in relativistically moving hot Fermi liquids is calculated. The k inetics of the damping of the excitations as well as of the exponentia l growth of the particle-hole excitations for some regions of space-li ke momenta is considered, in the center of mass coordinate projected a long the quasi-particle current direction. It is shown that Cherenkov- like radiation of the excitations may form a Bose condensate with a no n-zero wave vector. Explicit results are presented for pions and for v arious types of zero sounds in moving hot nuclear matter.