Modified Scaling Law for Large-AngleπNScattering

The large-angle high-energy $\pi N$ elastic amplitude is conjectured to obey a modified scaling law, which states that this amplitude is of the form $F\left(t\right)H(-\frac{t}{s})$, where $t$ is the momentum-transfer variable, $s$ the energy variable, and $F\left(t\right)\mathrm{}$ a vector form factor. The presence of the function $H$, which depends only on the ratio of large kinematical variables, suggests a connection with Bjorken's scaling law for electroproduction. Such a form is in good agreement with the large-angle data currently available. The conjecture is based on (1) pion current commutators applied to mass-shell amplitudes, and (2) Feynman-graph experiments motivated by recent calculations in the eikonal (small-angle) region.