Leonard C. Maximon

Piece-wise analytic evaluation of the radiative tail from elastic and inelastic electron scattering

We consider here the calculation of the radiative tail from the elastic peak in medium and high energy scattering as well as from a discrete inelastic level of the recoiling nucleus. We examine the method generally used for this calculation, viz., a numerical integration of the differential cross section over the angles of the unobserved photon, and discuss the difficulties inherent in this numerical integration due to the sharp peaking of the integrand. We present an alternative method for calculating the radiative tail, in which the region of integration is divided into an arbitrary number of subintervals, the structure functions are filled by cubic spline functions in each subinterval, and the integrations are then performed analytically in closed form. This method has the advantages of greatly increased accuracy and a reduction of the computation time by a factor which can vary between 10 and 103, depending on the kinematics.

Tagged photons :: an analysis ofthe bremsstranlung differential cross section inthe range of interest fora tagged photon system

The differential cross section are considered for bremsstrahlung for angles and energies in the range of interest for a tagging system. A high energy, small angle approximation is derived for the differential cross section for bremsstrahlung. This approximation is used to determine the maxima and minimum of the cross section and to evaluate it at these extrema. It is shown that the differential cross section has a very sharp dip in the region of small momentum transfers. Coulomb corrections to the Born approximation are considered, and do not fill in this dip.

Effect of resonance scattering in the high frequency limit of bremsstrahlung

Abstract It is shown that the resonances in the bremsstrahlung cross section close to the high-frequency limit found experimentally by Liefield et al. can be explained as final state resonance scattering.