Average Polarization in Deep Inelastic Collisions of Heavy Ions

Last decade improvement of the experimental facilities provided means of exploring the polarization phenomena in deep inelastic collisions and also gave rise to a still existing need for a suitable theory. From the first paper [-1] many theoretical works dealing with the spin alignment and polarization effects in heavy ion reactions have been done (see [-2] and references therein). A variety of methods covering the range from a phenomenological model [3] to the TDHF calculations [-4] has been applied to the problem. Nevertheless in most cases no particular attention was paid to a channel-averaging technics in spite of the fact that in the DIC the observed quantities are always averaged over many quantal states [-5, 6]. In this paper, using the statistical properties of the reaction amplitude fluctuating components we obtain a polarization probability distribution. It makes possible to determine the average polarization as well as all the higher moments. The general formulas thus derived are analyzed in two special cases, namely, the pure statistical reaction and the planar one when both the statistical and coherent features are present. The approach is similar to that used in the investigation of the average characteristics of nucleon induced reactions [7].