Study of the tilt of the diffractional scattering cone of hadrons on nuclei

Abstract

In this paper, we propose a Regge-pole model with a Gaussian potential for studying hadron scattering at high energies. In the diffraction approximation and the consequences arising from the analyticity and unitarity of the scattering amplitude, an expression is obtained for the matrix of the scattering amplitude, for the cross section, and for the slope parameter of the diffraction cone for the reactions a+A® B+b . The resulting expressions are applied to p-p scattering. The results show that the model describes well the slope coefficient of the diffraction cone at energies below 102 GeV. For agreement with experiment at high energies, it is necessary to tune the parameters.