Investigation by the functional method of the high-energy behavior of the “meson-nucleon” scattering amplitude in a scalar model

The high-energy behavior of the “meson-nucleon” scattering amplitude in the scalar model $L_{\mathrm {int}}=g\psi^2\varphi$ is studied by functional integration. The sum of an infinite class of diagrams inwhich a “meson” interacts with a “nucleon” and goes over into a virtual “nucleon-antinucleon” pair state leads to a modified eikonal form of the scattering amplitude.