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Sum rules for hadronic elastic scattering for the Tevatron, RHIC and LHC

Giulia Pancheri·Yogendra Srivastava·Nicola Staffolani
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Abstract

Under the assumption of total absorption and dominance of the imaginary part of the scattering amplitude, we present a sum rule for any hadronic elastic differential cross-section ${dσ}\over{dt}$: the dimensionless quantity ${{1}\over{2}}\int (dt)\sqrt{{{1}\over π}{{dσ}\over{dt}}} \to 1$, at asymptotic energies. Experimental data from ISR and Tevatron confirm 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.

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Giulia Pancheri, Yogendra Srivastava, Nicola Staffolani. 2004-07-01. Sum rules for hadronic elastic scattering for the Tevatron, RHIC and LHC. https://arxiv.org/abs/hep-ph/0406321

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