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TMF, 1975 Volume 25, Number 3, Pages 425–429 (Mi tmf4126)

Analytic properties of the differential cross section of inelastic scattering

G. L. Rcheulishvili, A. P. Samokhin


Abstract: Analyticity regions of the differential cross-section $d^2\sigma/d \cos\theta\, d\varphi$ and the function $\Phi$ (see (2)) with respect to $\cos\theta$ at physical values of $\varphi$ are found for the process $a+b\to c+d+f$ in the approximation of pole diagrams. At all energies above the threshold and $0\leq\varphi\leq 2\pi$ for $d^2\sigma/d \cos\theta\, d\varphi$ ($\varphi\neq 0, \pi, 2\pi$ for $\Phi$) these regions include fixed neighbourhoods of physical values of $\cos\theta$.

Received: 08.04.1975


 English version:
Theoretical and Mathematical Physics, 1975, 25:3, 1232–1235


© Steklov Math. Inst. of RAS, 2026