Abstract:
This thesis investigates in some problems in field of elementary particle theory. The thesis is constituted by three parts, part (I) dealing with application of Chew-Low formalisms, to the processes, in production, scattering, and absorption of pions; Part (II) uses the method of dispersion relations and part (III) concerns some stochastic aspects in Cascade theory, & the proof of equivalence of the filed theoretic and Feynman formalisms. The major part of this thesis is devoted to the process of pion-nucleon interaction by application of the Chew-Low formalism method, to certain pion production processes.