https://doi.org/10.1140/epjc/s10052-019-6954-6
Regular Article - Theoretical Physics
Odderon effects in the differential cross-sections at Tevatron and LHC energies
1
Bogolyubov Institute for Theoretical Physics, Metrologichna 14b, Kiev, 03680, Ukraine
2
Faculty of European Studies, Babes-Bolyai University, Emmanuel de Martonne Street 1, 400090, Cluj-Napoca, Romania
* e-mail: martynov@bitp.kiev.ua
Received:
19
October
2018
Accepted:
16
May
2019
Published online:
30
May
2019
In the present paper, we extend the Froissaron-Maximal Odderon (FMO) approach at t different from 0. Our extended FMO approach gives an excellent description of the 3266 experimental points considered in a wide range of energies and momentum transferred. We show that the very interesting TOTEM results for proton–proton differential cross-section in the range 2.76–13 TeV, together with the Tevatron data for antiproton–proton at 1.8 and 1.96 TeV give further experimental evidence for the existence of the Odderon. One spectacular theoretical result is the fact that the difference in the dip-bump region between 
and pp differential cross-sections is diminishing with increasing energies and for very high energies (say 100 TeV), the difference between and pp in the dip-bump region is changing its sign: pp becomes bigger than at |t| about 1 GeV
. This is a typical Odderon effect. Another important – phenomenological – result of our approach is that the slope in pp scattering has a different behavior in t than the slope in scattering. This is also a clear Odderon effect.
© The Author(s), 2019
