2008/01/13 by Marek J. Radzikowski, Radzikowski, Marek J. · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Applications #Radioactive Decay and Measurement Techniques #hep-th
paper · pdf · doi:10.48550/arxiv.0801.1957
15 pages; LaTeX; corrected terminology ("phase _space_ factor") & improved wording in Intro. and Concl
openalex publication_date 2008/01/13 · arxiv created 2008/02/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We calculate the phase space factor for a two-body decay in which one of the products is a tachyon. Two threshold conditions, a lower and an upper one, are derived in terms of the masses of the particles and the speed of a preferred frame. Implicit in the derivation is a consistently formulated quantum field theory of tachyons in which spontaneous Lorentz symmetry breaking occurs. The result is to be contrasted with a parallel calculation by Hughes and Stephenson, which, however, implicitly adheres to strict Lorentz invariance of the underlying quantum field theory and produces the conclusion that there is no threshold for this process.