Geometrical Scaling In High Energy Hadron Collisions PDF Download

Results of a study on high energy collisions with the geometrical model are summarized in three parts: (1) the elastic hadron-hadron collision, (2) the inelastic hadron-hadron collision, and (3) e[sup +]e[sup [minus]] annihilation. For elastic scattering, a modified form for the hadronic matter form factor of the proton was proposed which is still dipole in form but contains an energy--dependent range parameter. This new expression of the opacity function fits the elastic [bar p]p scattering very well from the ISR to S[bar p]pS energies. Extrapolation of this theory also yielded results [bar p]p in good agreement with the [bar p]p differential cross section measured at the Tevatron. For inelastic hadron-hadron collisions, we have made a systematic investigation of the single-particle momentum spectra in the entire S[bar p]pS energy region. Results are useful for the extrapolation of angular distribution to the higher SSC energies. In e[sup +]e[sup [minus]] annihilation, a detailed analysis of all available experimental multiplicity data from PETRA to LEP energies has been performed. The cluster size of emitted hadrons increases gradually with energy. Aside from high-energy collisions, the giant fullerene molecules were studied and precise algebraic eigenvalue expressions of the Hueckel problem for carbon-240 were obtained.