An analytic evaluation of the properties of meson-nucleon and nucleon-nucleon elastic scattering cross sections. For high-energy interactions, it is expected that as two particles approach each other the total energy falls to a minimum through the operation of strong attractive forces; the effect of hard core begins to act in such a way that energy increases with continued decrease in the interaction radius. The curvature of the energy function at minimum is related to nucleon compressibility; its numerical value may be estimated by a method analogous to that used for nuclei: The coefficient of baryon compressibility, computed from pi p, Kp, and pp cross sections at energies up to 30 Gev, is evaluated as 2200, 1800, and 2000 Mev, respectively. The requirement that the interaction energy have a minimum predicts the well-known breaks in natural logarithm (d sigma/dt) versus t for proton-proton elastic scattering at 90 deg. 9 pp. Ref. (KB)
This report is part of the RAND Corporation Paper series. The paper was a product of the RAND Corporation from 1948 to 2003 that captured speeches, memorials, and derivative research, usually prepared on authors' own time and meant to be the scholarly or scientific contribution of individual authors to their professional fields. Papers were less formal than reports and did not require rigorous peer review.
This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.
The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.