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A sum rule for elastic scattering

2004/10/30 by G. Pancheri, Y. Srivastava, N. Staffolani
Physics and Astronomy · #hep-ph

paper · pdf

published as Acta Phys.Polon. B36 (2005) 749-754 · Presented by Y. Srivastava at ISMD04, Sonoma State University. Under publication in Acta Physica Polonica. Latex format, 1 *.eps file, 7 pages

arxiv created 2004/10/30 · arxiv updated 2009/12/01

Abstract

A sum rule is derived for elastic scattering of hadrons at high energies which is in good agreement with experimental data on pp available upto the maximum energy √(s) = 2 TeV. Physically, our sum rule reflects the way unitarity correlates and limits how large the elastic amplitude can be as a function of energy to how fast it decreases as a function of the momentum transfer. The universality of our result is justified through our earlier result on equipartition of quark and glue momenta obtained from the virial theorem for massless quarks and the Wilson conjecture

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