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A Lower Bound on Inelasticity in Pion-Pion Scattering
Assuming that the pion-pion scattering amplitude and its absorptive part are analytic inside an ellipse in the complex t plane with foci t=0, u=0 and right extremity t=4mπ2+ε, (ε>0)—except for cuts prescribed by the Mandelstam representation for t≥4mπ2, u≥4mπ2, and bounded by sN on the boundary o...
| Autores principales: | , |
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| Lenguaje: | eng |
| Publicado: |
2017
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1103/PhysRevD.96.114014 http://cds.cern.ch/record/2290009 |
| Sumario: | Assuming that the pion-pion scattering amplitude and its absorptive part are analytic inside an ellipse in the complex t plane with foci t=0, u=0 and right extremity t=4mπ2+ε, (ε>0)—except for cuts prescribed by the Mandelstam representation for t≥4mπ2, u≥4mπ2, and bounded by sN on the boundary of this domain—we prove that for s→∞, σinel(s)>consts5/2exp[-s4(N+5/2)lns]. |
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