Pomeranchuk theorem violation and near-forward zeros of the differential cross section at high energies

Abstract

It is shown that, if [σ^π-p_tot(s)-σ^π-p_tot(s)]=δσ, lim [σ^π-p_tot(s) + σ^π-p_tot(s)]/lns, and lim Inf [2/π³)m²_π(δσ)²/σ ^π-p→π0_non-flip(s)]≅R, and if isospin invariance holds, then the helicity non-flip differential cross-section ratios [(dσ/dt)/(dσ/dt)_t=0] π^±p→π^±p must have: i) zeros at momentum transfers t∼s→∞-const. (lns)⁻² if R≥0.865, ii) forward peaks with widhts proportional to (lns)⁻² if R>¼.