Abstract

AbstractWe construct amplitudes which are represented by a Mandelstam representation with a finite number of subtractions and that satisfy ππ crossing symmetry and the unitarity constraints Im flI(s) ≧|flI (s)|2, l=0, 1, 2,…, for all energies above threshold s > 4, in the three isospin channels I=0, 1, 2.The following types of solutions are derived. The amplitudes have a positive double spectral function ϱ(s, t) ≧ 0. The total cross section decreases like σT(s) ∼ (log s)‐δ for arbitrary δ ≧ 1, including the limiting case δ=1. The amplitudes are dominated by Regge poles, the total cross section can reach a constant asymptotic value, σT(s) → const. The amplitudes are dominated by Regge cuts, the total cross section can increase logarithmically σT(s) → log s.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.