Local nuclear slope and curvature in high energy $pp$ and $\bar{p}p$ elastic scattering

Abstract

The local nuclear slope $B(s,t)=\frac{d}{dt}(\ln \frac{d{\sigma }_n(s,t)}{dt})$ is reconstructed from the experimental angular distributions with a procedure that uses overlapping $t$-bins, for an energy that ranges from the ISR to the $S\bar{p}pS$ and the Tevatron. Predictions of several models of ($p,p$) and ($\bar{p},p$) elastic scattering at high energy are tested in $B(s,t)$ at small $|t|$. Only a model with two-components Pomeron and Odderon gives a satisfactory agreement with the (non fitted) slope data, in particular for the evolution of $B(s,t)$ with $s$ as a function of $t$ in $\bar{p}p$ scattering. This model predicts a similar behavior for $pp$ and $\bar{p}p$ scattering at small $|t|$. A detailed confirmation for $pp$ collisions would be expected from RHIC.

Comments: PlainTeX, 24 pages, 5 ps-figures included, to be published in Il Nuovo Cimento