The scattering amplitude of polarized nucleons has been found within the framework of the Klein – Gordon with the phenomenological spin - orbit potential. It has the Glauber type representation. The differential cross sections of polarized nucleon are considered and discussed. The Yukawa potential is applied for this problem to determine the polarization of high energy scattering nucleons. | VNU Journal of Science: Mathematics – Physics, Vol. 32, No. 4 (2016) 68-79 High Energy Scattering of Polarized Nucleons with the Phenomenological Spin – Orbit Potential Nguyen Nhu Xuan* Department of Physics, Le Qui Don University, Hanoi, Vietnam Received 02 December 2016 Revised 16 December 2016; Accepted 28 December 2016 Abstract: The scattering amplitude of polarized nucleons has been found within the framework of the Klein – Gordon with the phenomenological spin - orbit potential. It has the Glauber type representation. The differential cross sections of polarized nucleon are considered and discussed. The Yukawa potential is applied for this problem to determine the polarization of high energy scattering nucleons. Keywords: Glauber representation, eikonal scattering theory, polarized nucleons. 1. Introduction In two papers of H. S . Köhler, Cern, Geneva [1, 2], he pointed out several measurements, which have been made of differential cross-sections and polarizations of protons inelastically scattered by nuclei. Such experiments have been made at 220 MeV in Rochester, at 155 and 173 MeV in Uppsala and at 135 and 95 MeV in Harwell. A striking feature of these results is the similarity between the angular dependence of the polarization of particles scattered inelastically by exciting a low-lying level and the elastic polarization. Even more striking is the agreement between polarizations of protons scattered inelastically by nuclei of different masses. In the paper [3], the basic element for an evaluation of the complex spin-orbit part of the optical potential is the calculation of the complex effective internucleon spin-orbit interaction was considered. Pervious investigators concerned with the real part of the spin-orbit potential, have taken this effective spin-orbit force as shortratige in comparison with the effective forces which give rise to the central part of the optical potential. The reason behind this assumption is the short-range behaviour ofthe .
