Application ofNDand Determinantal Methods to Yukawa Potential Scattering

Abstract

The $S$-, $P$-, and $D$-wave amplitudes for the Yukawa potential are found by the $\frac{N}{D}$ method. The solution with the first and second Born cuts gives a reasonable approximation to the exact amplitude in the low-energy region for potential strengths up to values strong enough to give an $S$-wave bound state. The solution yields a fair prediction of the $S$-wave binding energy. The first- and second-order determinantal solutions are also obtained. Because of the distortion of the left-hand cut, the determinantal method gives less reliable results than the $\frac{N}{D}$ method.