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Froissart bound for inelastic cross sections
We prove that while the total cross{}-section is bounded by $(\pi/m_\pi^2) \ln^2 s$, where $s$ is the square of the c.m. energy and $m_\pi$ the mass of the pion, the total inelastic cross{}-section is bounded by $(1/4)(\pi/m_\pi^2) \ln^2 s$, which is 4 times smaller. We discuss the implications of t...
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| Lenguaje: | eng |
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2009
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| Acceso en línea: | https://dx.doi.org/10.1103/PhysRevD.80.065013 http://cds.cern.ch/record/1174013 |
| _version_ | 1780916204994560000 |
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| author | Martin, Andre |
| author_facet | Martin, Andre |
| author_sort | Martin, Andre |
| collection | CERN |
| description | We prove that while the total cross{}-section is bounded by $(\pi/m_\pi^2) \ln^2 s$, where $s$ is the square of the c.m. energy and $m_\pi$ the mass of the pion, the total inelastic cross{}-section is bounded by $(1/4)(\pi/m_\pi^2) \ln^2 s$, which is 4 times smaller. We discuss the implications of this result on the total cross{}-section itself. |
| id | cern-1174013 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2009 |
| record_format | invenio |
| spelling | cern-11740132023-03-14T20:31:01Zdoi:10.1103/PhysRevD.80.065013http://cds.cern.ch/record/1174013engMartin, AndreFroissart bound for inelastic cross sectionsParticle Physics - PhenomenologyWe prove that while the total cross{}-section is bounded by $(\pi/m_\pi^2) \ln^2 s$, where $s$ is the square of the c.m. energy and $m_\pi$ the mass of the pion, the total inelastic cross{}-section is bounded by $(1/4)(\pi/m_\pi^2) \ln^2 s$, which is 4 times smaller. We discuss the implications of this result on the total cross{}-section itself.We prove that while the total cross{}-section is bounded by $(\pi/m_\pi^2) \ln^2 s$, where $s$ is the square of the c.m. energy and $m_\pi$ the mass of the pion, the total inelastic cross{}-section is bounded by $(1/4)(\pi/m_\pi^2) \ln^2 s$, which is 4 times smaller. We discuss the implications of this result on the total cross{}-section itself.arXiv:0904.3724CERN-PH-TH-2009-120oai:cds.cern.ch:11740132009-04-24 |
| spellingShingle | Particle Physics - Phenomenology Martin, Andre Froissart bound for inelastic cross sections |
| title | Froissart bound for inelastic cross sections |
| title_full | Froissart bound for inelastic cross sections |
| title_fullStr | Froissart bound for inelastic cross sections |
| title_full_unstemmed | Froissart bound for inelastic cross sections |
| title_short | Froissart bound for inelastic cross sections |
| title_sort | froissart bound for inelastic cross sections |
| topic | Particle Physics - Phenomenology |
| url | https://dx.doi.org/10.1103/PhysRevD.80.065013 http://cds.cern.ch/record/1174013 |
| work_keys_str_mv | AT martinandre froissartboundforinelasticcrosssections |