On reaction thresholds in doubly special relativity
arXiv:gr-qc/0312089 · doi:10.1103/PhysRevD.69.105016
Abstract
Two theories of special relativity with an additional invariant scale, "doubly special relativity" (DSR), are tested with calculations of particle process kinematics. Using the Judes-Visser modified conservation laws, thresholds are studied in both theories. In contrast to some linear approximations, which allow for particle processes forbidden in special relativity, both the Amelino-Camelia and Maguejo-Smolin frameworks allow no additional processes. To first order, the Amelino-Camelia framework thresholds are lowered and the Maguejo-Smolin framework thresholds may be raised or lowered.
13 pages,v3 added comments regarding the assumption of composite particles,minor wording changes, version to be published
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