LEADING CORRECTIONS TO THE COMPTON PROFILES BEYOND THE IMPULSE APPROXIMATION - 2ND-ORDER CORRECTION

Second-order corrections to the impulse-approximation Compton profiles of some inert atomic species (He, Ne, Ar, and Kr) are obtained by app lying the theory due to Gasser, Tavard and others to a density functio nal model, as demonstrated recently for the first-order effect by Path ak, Kshirsagar, Hoffmeyer and Thakkar. The cumulative (first plus seco nd) correction, for moderate momentum transfers (to the electron in th e Compton process) is seen to bring out an appreciable structural chan ge when augmented to the zeroth-order impulse profile. It is observed that the sign of the peak second-order correction is correlated to the orbital angular momentum and magnetic quantum numbers, whereby an emp irical rule analogous to that of the behavior of the first-order corre ction is discovered.