Theory of a pomeron with α>1 and the fruassaron dynamics

Pomeron theory with α>1 which satisfies s and t unitarity and describes data on experiments with small transverse momenta is considered. The contriubtion of the p-trajectory is reduced in the eikonal series by successive rescatterings. The amplitude which leads to experimentally observed growth in the total cross section value is called by the author a fruassaron. This amplitude is written without account of enhanced graphs. It is shown that their account does not lead to s unitarity violation and the fruassaron describes well enough all the experimental data already known