Date of Award

Fall 1968

Degree Type

Thesis - Restricted

Degree Name

Master of Science (MS)



First Advisor

Tani, Smio

Second Advisor

Markowitz, William

Third Advisor

Karioris, Frank


The purpose of this work is to determine the S-wave phase shifts which are produced by a superposition of Yukawa potentials. This form is chosen in order to determine the possibility of using a relativistic approach, the Bethe-Salpeter equation, in the study of the nucleon-nucleon interaction. Our results should correspond to the nonrelativistic limit of the Bethe-Salpeter equation. By examining if the behavior of the S-wave phase shift is close to the experimentally determined values of the S-wave phase shift, we can decide whether the Bethe-Salpeter approach will be promising. For our purpose, we shall proceed in the following order. First, a general introduction to quantum mechanical scattering is given. Second, it is followed by a discussion of the present status of the nucleon-nucleon interaction and a brief description of potential models which are currently used. Third, our potential function and results are explained with several suggestions for the form of the potential in future research.