Elastic pp scattering from the optical point to past the dip: An empirical parametrization from ISR to the LHC

Author(s)

Fagundes, D. A. ^{[1, 2]} ; Pancheri, G. ^[2] ; Grau, A. ^[3] ; Pacetti, S. ^{[4, 5]} ; Srivastava, Y. N. ^{[4, 5]}

Affiliation

^[1] Univ Estadual Campinas, UNICAMP, Inst Fis Gleb Wataghin, BR-13083859 Campinas, SP - Brazil

^[2] INFN Frascati Natl Labs, I-00444 Rome - Italy

^[3] Univ Granada, Dept Fis Teor & Cosmos, E-18071 Granada - Spain

^[4] Univ Perugia, Dept Phys, I-06123 Perugia - Italy

^[5] Univ Perugia, Ist Nazl Fis Nucl, I-06123 Perugia - Italy

• Document type: Journal article
• Source: Physical Review D; v. 88, n. 9 NOV 26 2013.
• Web of Science Citations: 25

Abstract

We describe the main features of recent LHC data on elastic pp scattering through a simple parametrization to the amplitude, inspired by a model proposed by Barger and Phillips in 1973, comprised of two exponentials with a relative phase. Despite its simplicity, this parametrization reproduces two essential aspects of the elastic differential cross section: the well-known precipitous descent in the forward direction and a sharp ``dip'' structure. To include a complete description of data sets near -t =0 lecting the proton form factor. We find good descriptions of LHC7 and ISR data in either case. The form-factor model allows simple predictions for higher energies through asymptotic theorems and asymptotic sum rules in impact parameter space. We present predictions for this model at higher LHC energies, which can be used to test whether asymptotia is reached. The black-disk limit in this model is seen to be reached only for root S 10(6) TeV. (AU)

• FAPESP's process: 12/12908-4 - Hadronic interactions and cross sections at High-Energies
• Grantee: Daniel Almeida Fagundes
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate