THEORETICAL REACTION CROSS SECTIONS FOR ALPHA PARTICLES WITH AN OPTICAL MODEL

Abstract

The transmission coefficients T/sub l/ and total reaction cross sections sigma /sub R/ for alpha particles from 0 to 46 Mev interacting with twenty target nuclei with atomic numbers from 10 to 92 are calculated with optical model program in which a previously determined complex nuclear potential is utilized. The dependence of the T/sub l/ values, and hence of sigma /sub R/, on the Woods- Saxon parameters is investigated as a function of projectile energy. The optical model reaction cross sections are compared with those derived from a square-well potential and a model which approximates the real optical model potential barrier by a parabola and makes use of the Hill-Wheeler penetration formula for a parahelic potential. (auth