Model of cosmic ray generation in a plasma pinch, taking account of the plasma relativism in its own coordinate system

Summary form only given. Previously we have considered the generating the galactical cosmic rays in the outer space plasma pinches in the process of hydrodynamic plasma extrusion from necks developing as a result it the instability. We propose the "composed" pinch model in which some ultrarelativistic and non-relativistic expressions for the adiabates and for the enthalpy are used to represent necks and bulges in the pinch, respectively, meanwhile the intermediate zones between the necks and the bulges are represented by approximate relationships. In the long wavelength approximation a precise analytical solution representing a non-linear stage in the development of the necks has been found, as well as the energy spectrum of accelerated particles which is represented by the relationship: dN/dE/spl sim/E/sup -2/[ln(E*)]/sup -3/2/, E*=E/Mc/sup 2/(1) being close to the observed spectrum of cosmic rays: dN/dE/spl sim/E/spl sim/E/sup -/spl nu//, (2) for which /spl nu//sub cr/=2.74 in the energy range 10/sup 10/