Effect of Long Range Correlations in High Energy Scattering

Abstract

An improved Glauber approximation is derived and tested numerically on a potential model. Using this approximation the effect of long range correlations present in spherical nuclei because of the collective motion of the nucleus has been evaluated. The method can be empolyed as long as the Hamiltonian describing the interaction of the target nucleus with the incident particle can be expressed as the sum of terms which are linear and bilinear in the boson operators describing the collective oscillations. An optical potential including these effects has been derived. Inelastic excitations can be readily evaluated. The method is applied to the vibrations of a spherical nucleus where the incident particle-target nuclear interaction is described by a vibrating square well. It is shown that the high energy approximation is valid for the square well in spite of the sudden change in the potential.