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Isobar Electroproduction as a Background from Interaction of Beams with Residual Gas at $ϕ$-Factories

arXiv:hep-ph/9612404 · doi:10.1016/S0370-2693(97)00572-8

Abstract

It is shown that when beams interact with a residual gas at $ϕ$-factories the reaction of the electroproduction of the $Δ(1232)$ isobar proceeds vigorously. The isobar decay gives $\sim 10^7$ pions during an effective year of $10^7$ s per meter of a residual gas. These pions are emitted largely across the beam axis and have a resonance energy distribution with a peak nearby 265 MeV of a width close to 120 MeV in the isobar rest system. There are presented formulae for the distributions of the four-momentum transfer square, the angles, the energies and the momentum of the decay products, that is all required for the simulation of the process under consideration.

10 pages, revtex, 2 ps files of figures, two misprints are corrected (in Eqs. (5) and (7) $π$ is removed), English is improved