Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-06-06
Phys.Rev.C75:034903,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages, 4 figures
Scientific paper
10.1103/PhysRevC.75.034903
The exclusive production of one $\mu^+\mu^-$ pair in collisions of two ultra-relativistic nuclei is considered. We present a simple method for the calculation of the Born cross section for this process based on an improved equivalent photon approximation. We find that the Coulomb corrections to this cross section (corresponding to multi-photon exchange of the produced $\mu^{\pm}$ with the nuclei) are small while the unitarity corrections (corresponding to the exchange of light-by-light blocks between nuclei) are large. This is in sharp contrast to the exclusive $e^+e^-$ pair production where the Coulomb corrections to the Born cross section are large while the unitarity corrections are small. We calculate also the cross section for the production of one $\mu^+\mu^-$ pair and several $e^+e^-$ pairs in the leading logarithmic approximation. Using this cross section we find that the inclusive production of $\mu^+\mu^-$ pair coincides in this approximation with its Born value.
Hencken Kai
Kuraev Eduard A.
Serbo Valeriy
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