Checks of asymptotia in pp elastic scattering at LHC

• Published in: Physics letters. B Vol. 714; no. 1; pp. 70 - 75
• Main Authors: Grau, Agnes, Pacetti, Simone, Pancheri, Giulia, Srivastava, Yogendra N.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier B.V 24-07-2012; Elsevier
• Subjects: Elastic scattering; Exact sciences and technology; Nuclear physics; Physics; Proton–proton; The physics of elementary particles and fields; Total cross section; Proton–proton; Elastic scattering; Total cross section; LHC collider; Differential cross sections; Scattering amplitudes; Sum rules; Parameterization; Impact parameter; Proton-proton scattering
• ISSN: 0370-2693; 1873-2445
• DOI: 10.1016/j.physletb.2012.06.058

We parametrize TOTEM data for the elastic differential pp cross section at s=7 TeV in terms of two exponentials with a relative phase. We employ two previously derived sum rules for pp elastic scattering amplitude in impact parameter space to check whether asymptotia has been reached at the LHC. A detailed study of the TOTEM data for the elastic differential cross section at s=7 TeV is made and it is shown that, within errors, the asymptotic sum rules are satisfied at LHC. We propose to use this parametrization to study forthcoming higher energy data.