Anomalous radiative transitions

Abstract

Anomalous transitions involving photons derived by many-body interaction of the form, ${\partial }_{\mu }{G}^{\mu }$, in the standard model are studied. This does not affect the equation of motion in the bulk, but makes wave functions modified, and causes the unusual transition characterized by the time-independent probability. In the transition probability at a time-interval $T$ expressed generally in the form $P=T{\Gamma }_0+P^{(d)}$, now with $P^{(d)}\ne 0$. The diffractive term $P^{(d)}$ has the origin in the overlap of waves of the initial and final states, and reveals the characteristics of waves. In particular, the processes of the neutrino-photon interaction ordinarily forbidden by Landau-Yang's theorem (${\Gamma }_0=0$) manifests itself through the boundary interaction. The new term leads to physical processes over a wide energy range to have finite probabilities. New methods of detecting neutrinos using laser are proposed that are based on this difractive term, which enhance the detectability of neutrinos by many orders of magnitude.

47 pages, 5 figures, 1 table, typos corrected

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