Hadron diffractive production at ultrahigh energies

Abstract

Diffractive production is considered in the ultrahigh energy region where pomeron exchange amplitudes are transformed into black disk ones due to rescattering corrections. The corresponding corrections in hadron reactions $h_1+h_3\to h_1+h_2+h_3$ with small momenta transferred ($q_{1\to 1}^2\sim m^2/{\ln }^{2}s$, $q_{3\to 3}^2\sim m^2/{\ln }^{2}s$) are calculated in terms of the $K$-matrix technique modified for ultrahigh energies. Small values of the momenta transferred are crucial for introducing equations for amplitudes. The three-body equation for hadron diffractive production reaction $h_1+h_3\to h_1+h_2+h_3$ is written and solved precisely in the eikonal approach. In the black disk regime final state scattering processes do not change the shapes of amplitudes principally but dump amplitudes in a factor $\sim \frac{1}{4}$.

arXiv comment13 pages

References in corpus (5)

• New experimental evidence that the proton develops asymptotically into a black disk
• Proton opacity in the light of LHC diffractive data
• Elastic pp-scattering at \sqrt s=7 TeV with the genuine Orear regime and the dip
• Total Hadronic Cross Sections and π^\mp π^+ Scattering
• What is the real meaning of the Froissart theorem ?

Cited by in corpus (1)

• Hadron collisions at ultrahigh energies: black disk or resonant disk modes?