U. Roy et Nc. Sil, ANALYTICAL EXPRESSION FOR HIGHER-ORDER DERIVATIVES OF THE LEWIS INTEGRAL WITH ITS APPLICATION TO PROTON-HYDROGEN CHARGE-TRANSFER COLLISIONS, Journal of physics. B, Atomic molecular and optical physics, 30(15), 1997, pp. 3423-3430
We present a method for evaluating arbitrary higher-order derivatives
of the three-denominator Lewis integral frequently encountered in coll
isional and structural problems of atomic and molecular physics. The m
ethod has been applied successfully to obtain analytical expressions f
or the ns --> n's charge transfer amplitude in proton-hydrogen collisi
ons and the results for total cross sections in Jackson-Schiff (JS) an
d distorted-wave approximations (DWB) are presented.