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Relativistic kinematics of two-particle scattering reactions with participation of tachyons
Author(s) -
N. V. Samsonenko,
Michael V. Semin
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1560/1/012004
Subject(s) - tachyon , physics , energy–momentum relation , conservation law , momentum (technical analysis) , classical mechanics , center of mass (relativistic) , elastic scattering , scattering , particle (ecology) , cosmic ray , basis (linear algebra) , quantum electrodynamics , nuclear physics , quantum mechanics , geometry , mathematics , oceanography , geology , finance , economics
The paper discusses limitations resulting 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. The obtained expressions for the particle energies are given in the center-of-mass system in the generally accepted Mandelstam variables. Using the laws of conservation of energy and momentum, several channels of reactions of ultrarelativistic particles of high energy in cosmic rays have been considered. It has been shown that on the basis of the expressions obtained, assuming the existence of particles with imaginary masses — tachyons, the effect of “red shift” can be explained.

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