Zeros of tree amplitudes at rest and symmetries of mechanical systems

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dc.creatorLibanov, M. V.
dc.creatorRubakov, V. A.
dc.creatorTroitsky, S. V.
dc.date1993-08-16
dc.date.accessioned2026-07-07T11:47:41Z
dc.date.available2026-07-07T11:47:41Z
dc.descriptionWe 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.
dc.description11 pages Preprint INR-830/93, August 1993
dc.identifierhttps://arxiv.org/abs/hep-ph/9308278
dc.identifierhttp://arxiv.org/abs/hep-ph/9308278
dc.identifierPhys.Lett.B318:134-138,1993
dc.identifierdoi:10.1016/0370-2693(93)91796-P
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202659
dc.subjectHigh Energy Physics - Phenomenology
dc.titleZeros of tree amplitudes at rest and symmetries of mechanical systems
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