Slope Changes for Natural Logarithm (d sigma

by Leona Marshall Libby

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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)

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