Abstract

We derive a multiperipheral integral equation with continued crossed channel unitarity for the absorptive part for pion nucleon scattering from a Bethe-Salpeter equation describing composite particle scattering. At high energy the equation becomes homogeneous and we solve it via a variational principle to obtain the behavior of the output trajectory which falls with energy. We indicate the effect of turning on and off the coupling constant in the strength function resulting from the kernel of the equation. We indicate how one may now use the composite particle amplitude resulting from this equation to construct production and three body amplitudes which may be used to investigate Toller angle dependence and single particle inclusive distribution, respectively.

About the Author

Shirley Ann Jackson '68, PhD '73 of Washington, D.C. was one of the first black women to earn a Bachelor's degree and the first to earn a PhD from MIT. During her undergraduate and graduate years at the Institute, Jackson advocated for the recruitment and retainment of black students. Her efforts included co-founding the Black Students' Union in 1968 and working with the Administration to advance racial equity at the Institute. Today Jackson serves as the 18th president of Rensselaer Polytechnic Institute and is a permanent member of the MIT Corporation.

Jackson, Shirley Ann. "The study of a multiperipheral model with continued cross channel unitarity." PhD Thesis. Massachusetts Institute of Technology, 1973.