Observation of two zeros of the real amplitude in pp scattering at LHC energies

TL;DR

This paper discusses the potential observation of two zeros in the real part of the nuclear amplitude in proton-proton scattering at LHC energies, which could improve understanding of the scattering process.

Contribution

It demonstrates that the zeros of the combined Coulomb and real nuclear amplitudes can be observed at LHC energies, providing new insights into the real part of the scattering amplitude.

Findings

Zeros of the combined Coulomb and real nuclear amplitudes can be observed at LHC energies.

Observation of these zeros constrains the real part of the nuclear amplitude.

The study enhances understanding of the t-dependence of nuclear scattering amplitudes.

Abstract

Elastic scattering of charged hadrons is described by the combination of nuclear and Coulomb amplitudes. It is well know that at the very forward range the nuclear real and Coulomb parts interplay a crucial role in the determination of the magnitude of the real part at $|t|=0$. However, beyond $|t|=0$ the real and imaginary nuclear amplitudes have different $t$ dependencies and we show that at LHC energies the zeros formed by the combination $T_C(t)+T_R^N(s,t)=0$ in pp process can be potentially observed when the background due to the imaginary part is removed. This observation constrains the real part at this forward range.