Zeros of tree amplitudes at rest and symmetries of mechanical systems

Details Zeros of tree amplitudes at rest and symmetries of mechanical systems Zeros of tree amplitudes at rest and symmetries of mechanical systems

1993-08-16

arxiv.org/abs/hep-ph/9308278v1

Phys.Lett.B318:134-138,1993

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages Preprint INR-830/93, August 1993

Scientific paper

10.1016/0370-2693(93)91796-P

We consider the tree amplitudes of production of $n_2$ scalar particles by $n_1$ particles of another kind, where both initial and final particles are at rest and on mass shell, in a model of two scalar fields with $O(2)$ symmetric interaction and unequal masses. We find that these amplitudes are zero except for the lowest possible $n_1$ and $n_2$, and that the cancellation of the corresponding Feynman graphs occurs due to a special symmetry of the classical mechanical counterpart of this theory. This feature is rather general and is inherent in various other scalar field theories.

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