A universal sum rule for hadronic elastic scattering with applications to the Tevatron, RHIC and LHC

Under the assumption that at high energies total absorption prevails so that the imaginary part of the scattering amplitude dominates, we present a sum rule for all hadronic elastic differential cross-sections. We find that the dimensionless quantity \(\frac {{1}}{{2}}\int (\mathrm {d}t)\sqrt{\frac...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2005-08, Vol.42 (3), p.303-308
Main Authors: Pancheri, G., Srivastava, Y., Staffolani, N.
Format: Article
Language:English
Subjects:
Absorption
Cross-sections
Elastic scattering
Scattering amplitude
Sum rules
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Summary:Under the assumption that at high energies total absorption prevails so that the imaginary part of the scattering amplitude dominates, we present a sum rule for all hadronic elastic differential cross-sections. We find that the dimensionless quantity \(\frac {{1}}{{2}}\int (\mathrm {d}t)\sqrt{\frac {{1}}{{\uppi}}\frac {{\mathrm {d}\sigma}}{{\mathrm dt}}} \rightarrow 1\), at asymptotic energies. A comparison with experimental data from ISR and Tevatron confirms a trend towards its saturation and some estimates are presented for LHC. Its universality and further consequences for the nature of absorption in QCD based models for elastic and total cross-sections are explored.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s2005-02288-7