COULOMB CORRECTIONS TO NUCLEAR-SCATTERING LENGTHS AND EFFECTIVE RANGES FOR WEAKLY-BOUND SYSTEMS

A procedure is considered for extracting the purely nuclear scattering length a(s) and effective range r(s) (which correspond to a strong-in teraction potential V-s with disregarded Coulomb interaction) from the experimentally determined nuclear quantities a(cs) and r(cs), which a re modified by Coulomb interaction. The Coulomb renormalization of a(s ) and r(s) is especially strong if the system under study involves a l evel with energy close to zero (on the nuclear scale). This applies to formulas that determine the Coulomb renormalization of the low-energy parameters of s scattering (l=0). Detailed numerical calculations are performed for coefficients appearing in the equations that determine Coulomb corrections for various models of the potential V-s(r). This m akes it possible to draw qualitative conclusions about the dependence of Coulomb corrections on the form of the strong-interaction potential and, in particular, on its small-distance behavior. A considerable en hancement of Coulomb corrections to the effective range r(s) is found for potentials with a barrier.