Application of the Theory of Multiple Scattering of Electrons to the Description of the Parameters of Tracks of Fast Heavy and Superheavy Nuclei

In 1979, at the 10th International Conference on Solid State Track Detector in Lyon, I presented a report [1], in which formulas were derived for the ν-hit model of the probability of a local response $$P_{\nu }^{ + }(\rho ,s)$$ using directly the distribution function $$f(\vec {\Omega },\rho ,s)$$ of δ-electrons of the theory of multiple scattering in the space of directions of motion $$\vec {\Omega }$$ , distances $$\rho $$ from the points under consideration to the ion trajectory axis and their residual ranges s. These probabilities were expressed in terms of certain moments $$\left\langle {{{\xi }^{k}}{{e}^{{ - \xi }}}} \right\rangle $$ of the number of effective events ξ in a sensitive microvolume with exponential weight $${{e}^{{ - \xi }}}$$ , averaged over the flow of δ-electrons passing through it. This paper describes a numerical method for finding these quantities from the solution of the kinetic equation of the theory of multiple electron scattering, then using them to construct and calculate the probabilities of the occurrence of a multihit response. Using these probabilities, equidensities of the optical density and half-width of latent tracks of heavy and superheavy elements in nuclear photoemulsion type-R2, which is a detector with a one-hit response $$P_{1}^{ + }(\rho ,s)$$ , were found.