Production of an arbitrary number of lepton and pion pairs at peripheral hadron collisions

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The known results of unitarity violation in QED are revised. Taking into account the peripheral processes in high energy ion collisions with production of an arbitrary number of pairs of charged leptons and pions, we confirm the known result of violation of unitarity in the frame of QED. Namely, the total cross section of production of an arbitrary number of pairs of charged particles grows more rapidly than any logarithmic power of the center-of-mass energy. The contribution from the production of a single neutral meson (scalar and pseudo-scalar) is discussed. An interpretation of this fact is expected to have a similar base to the known QED problem—the absence of the total cross section in the scattering of a charged particle on the Coulomb center. The relevant conditions cannot be realized in nature. The novelty of our calculations is in obtaining the explicit expression for differential cross sections of (in principle) any finite number of lepton and π+ π pairs at peripheral hadron collisions. It can be measured at such facilities as RHIC or LHC.

Document Type: Research Article


Publication date: January 1, 2013

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