Date of Award

Fall 1968

Degree Type

Thesis - Restricted

Degree Name

Master of Science (MS)

Department

Physics

First Advisor

Tani, Smio

Second Advisor

Markowitz, William

Third Advisor

Karioris, Frank

Abstract

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.

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