Application of Methods of Differential Geometry for Analysis of Experimental Data on Multiple Particle Production in Relativistic Nuclear Physics

Abstract This work examines the features of pion distribution arising in nuclear interactions (n + p) and (p + C) from the standpoint of a geometric approach. Based on the analysis of critical values of the parameter ν, it is shown that the observed peaks can be interpreted as manifestations of the instability of the boundary value problem solution, which in physical terms corresponds to the act of particle creation from the vacuum. A hypothesis is proposed that particle production processes are associated with the emergence of singularities in the hyperbolic state space. This work represents an attempt to unify geometric and physical approaches for describing the mechanisms of pion production and their dependence on the vacuum structure.