Date of Award
Master of Arts
Dr. Dean Halderson
Dr. Alvin Rosenthal
Dr. Paul Pancella
Masters Thesis-Open Access
In this work a numerical procedure was found to calculate the G-matrix in momentum space with a momentum space potential. The integral equation for the G-matrix was solved by conversion to a matrix equation. Two numerical integral methods, three-point Simpson method and Gaussian integral method, were employed in this process to determine the more efficient method.
The resulting G-matrix in momentum space was Fourier transformed into coordinate space. This was compared with the results of the G-matrix calculated from coordinate space directly as well as the results from solving the Bethe-Goldstone equation. A 2% accuracy was achieved with both the three-point Simpson and Gaussian methods, but the Gaussian method proved to be three times more efficient.
Busche, "A Procedure for G-Matrix Calculation from a Momentum Space Potential" (1994). Master's Theses. 4247.