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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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| Acceso en línea: | https://dx.doi.org/10.1103/PhysRevD.96.114014 http://cds.cern.ch/record/2290009 |
| _version_ | 1780956278293528576 |
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| author | Martin, André Roy, S.M. |
| author_facet | Martin, André Roy, S.M. |
| author_sort | Martin, André |
| collection | CERN |
| description | 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]. |
| id | cern-2290009 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2017 |
| record_format | invenio |
| spelling | cern-22900092021-05-03T20:18:41Zdoi:10.1103/PhysRevD.96.114014http://cds.cern.ch/record/2290009engMartin, AndréRoy, S.M.A Lower Bound on Inelasticity in Pion-Pion Scatteringhep-phParticle Physics - PhenomenologyAssuming 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].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_{\pi}^2 +\epsilon $, ($\epsilon > 0$), except for cuts prescribed by Mandelstam representation for $t\geq 4 m_{\pi}^2$, $u\geq 4 m_{\pi}^2$ , and bounded by $s^N$ on the boundary of this domain, we prove that for $s\rightarrow \infty$, \sigma_{inel} (s) > \frac{Const}{s^{5/2} }\exp {[-\frac{\sqrt{s}}{4} (N+5/2) \ln {s} ]}.CERN-TH-2017-215arXiv:1710.07140oai:cds.cern.ch:22900092017-10-19 |
| spellingShingle | hep-ph Particle Physics - Phenomenology Martin, André Roy, S.M. A Lower Bound on Inelasticity in Pion-Pion Scattering |
| title | A Lower Bound on Inelasticity in Pion-Pion Scattering |
| title_full | A Lower Bound on Inelasticity in Pion-Pion Scattering |
| title_fullStr | A Lower Bound on Inelasticity in Pion-Pion Scattering |
| title_full_unstemmed | A Lower Bound on Inelasticity in Pion-Pion Scattering |
| title_short | A Lower Bound on Inelasticity in Pion-Pion Scattering |
| title_sort | lower bound on inelasticity in pion-pion scattering |
| topic | hep-ph Particle Physics - Phenomenology |
| url | https://dx.doi.org/10.1103/PhysRevD.96.114014 http://cds.cern.ch/record/2290009 |
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