High Energy Elastic Scattering of Hadrons
Abstract
The factorization formalism of perturbative QCD is applied to the study of hadronic elastic amplitudes. At the partonic level, near-forward quark-quark elastic scattering is considered. It is shown that the Sudakov resummed radiative corrections lead to reggeization of the octet exchange, in the leading logarithmic approximation, whereas the Sudakov suppression of the singlet exchange is s-independent. Infrared subtractions for the lowest order singlet are discussed. At the hadronic level, proton-proton near-forward hard elastic scattering is studied in the Landshoff picture and with singlet exchange in all three quark-quark scatterings. It is shown that Sudakov resummation can account for both scalings of the cross section, dsigma^ {pp}/{rm d}t~ t^ {-8} at moderately high | t| and dsigma^{pp }/{rm d}t~ t^{ -10} at higher | t| . Comparison with experimental data yields estimates for the size of the valence three-quark state in the proton. Finally, elastic scattering at wide angles is considered, and the ratio of the cross sections R _{=pp/pp} is computed at center of mass angle theta = 90 ^circ. For scattering at moderate energies, a model for the randomization of the quark color by soft gluon exchange is presented, which yields estimate for R_{=pp/pp} very close to the experimental measurements.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1994
- Bibcode:
- 1994PhDT.......144S
- Keywords:
-
- SUDAKOV SUPPRESSION;
- REGGEIZATION;
- Physics: Elementary Particles and High Energy