Lower bound on inelasticity in pion-pion scattering

André Martin, S. M. Roy
2017 Physical Review D  
Assuming that the pion-pion scattering amplitude and its absorptive part are analytic inside an ellipse in t- plane with foci t=0, u=0 and right extremity t=4 m_π^2 +ϵ , (ϵ > 0), except for cuts prescribed by Mandelstam representation for t≥ 4 m_π^2, u≥ 4 m_π^2 , and bounded by s^N on the boundary of this domain, we prove that for s→∞, σ_inel (s) > Const/s^5/2[-√(s)/4 (N+5/2) s ].
doi:10.1103/physrevd.96.114014 fatcat:sd333nmjavdfnnmgr2apsy2mfm