Interpretation of glory undulations in scattering cross sections: Amplitudes

摘要

The interpretation of the amplitude Dgr;Qof the glory undulations is given in terms of the coefficientsRiof a semiclassical expansion of the form Dgr;Qequals;v1sol;2(R0plus;R1Eminus;1plus;middot;middot;middot;) wherevis the relative velocity and theEthe relative kinetic energy. TheRigive a measure of the force in the vicinity of the distance of closest approach. These coefficients can be used with the analogous coefficients for the spacing of the undulations to provide combinations that depend only on the shape of the potential and not on its scale. Examples are given for squarehyphen;well and Lennardhyphen;Jones (n, 6) potentials.