Mechanisms of ProtonProton Inelastic CrossSection Growth in MultiPeripheral Model within the Framework of Perturbation Theory. Part 2
Abstract
We demonstrate a new technique for calculating protonproton inelastic crosssection, which allows one by application of the Laplace' method replace the integrand in the integral for the scattering amplitude in the vicinity of the maximum point by expression of Gaussian type. This in turn, allows one to overcome the computational difficulties for the calculation of the integrals expressing the cross section to sufficiently large numbers of particles. We have managed to overcome these problems in calculating the protonproton inelastic crosssection for production (n \le 8) number of secondary particles in within the framework of \phi^3 model. As the result the obtained dependence of inelastic crosssection and total scattering crosssection on the energy \sqrt{s} are qualitative agrees with the experimental data. Such description of total crosssection behavior differs considerably from existing now description, where reggeons exchange with the intercept greater than unity is considered.
 Publication:

Journal of Modern Physics
 Pub Date:
 2012
 DOI:
 10.4236/jmp.2012.31003
 arXiv:
 arXiv:0711.3690
 Bibcode:
 2012JMPh....3...16S
 Keywords:

 Nuclear Theory
 EPrint:
 11 pages, 10 figures (v3: some inaccuracies corrected)