Pion Multiplicities at High Energy Proton Nuclear Collisions in Frames of Reggeon Action

Physics

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Scientific paper

We study the pion production process at high energy proton-nuclei peripheral collisions. The dominant contribution for the case of non-exited final state hadrons arises from kinematics of central region of pionization. The basic mechanism consist in of creation of pair of real gluons by exchanged reggeized gluons with subsequent conversion to a pair of pions.
We show that the mechanisms which include emission of two gluons in the same effective vertex contribution dominate compared with one with the creation of two separate gluons. Numerical estimations of cross section of pair of charged pions production for LHC facility give the value or order 10mb.
The problem of exceed of positively charged pions in cosmic ray interaction with earth atmosphere is as well considered. By close analogy to QED case of lepton pair creation at ion's collision we generalize our result to the case of pion pairs creation, providing to keep into account the screening effect.
The distribution of n pion pair production as a function of impact parameter is discussed. We estimate as well the behavior of total cross-section as a function of n as σn ~ 1/(n2 · n!).

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