RELATIVISTIC KINEMATICS OF TWO-PARTICLE SCATTERING REACTIONS WITH PARTICIPATION OF TACHIONS

Abstract

Purpose. We consider universal effects (for all types of interactions) arising only from the laws of conservation of energy and momentum in the processes of elastic and quasi-elastic scattering of relativistic particles with the participation of tachyons, luxons and bradyons. Methodology and Approach. Using the laws of conservation of energy and momentum in the center of mass system, expressions are found for the particle energies in the generally accepted Mandelstam variables. Results. It is shown that on the basis of the expressions obtained in the work assuming the existence of particles with imaginary masses - tachyons, a number of phenomena can be explained, for example, the mechanism of generation of high-energy cosmic rays, as well as the “red shift” effect. Theoretical and Practical implications. The results presented in the work provide additional valuable information about the characteristics of reactions involving tachyons.

Keywords

• tachyon
• redshift
• cosmic rays
• relativistic kinematics