Effects of odderon spin on helicity amplitudes in $pp$ elastic scattering

Abstract

In recent years, the discovery of the odderon, a colorless $C$-odd gluonic compound, has been confirmed in the TOTEM and D0 collaborations. However, the spin quantum number of the odderon remains unidentified. In this work, we aim to attribute a spin of $J=3$ to the odderon in $pp$ elastic scattering by calculating the helicity amplitudes and the corresponding complex parameter $r_5$, the ratio of helicity's single-flip to non-flip amplitudes, for the spin-3 tensor odderon with the standard spin-2 tensor pomeron exchanges. Then, we apply these results to the constraints obtained from the STAR experiment at RHIC. By comparing to the contributions of the spin-1 vector odderon and spin-2 tensor pomeron, we demonstrate that the spin-3 tensor odderon, i.e. $J=3$, provides a better explanation for the observable in $pp$ elastic scattering.

11 pages, 2 figures

References in corpus (5)

• Helicity in Proton-Proton Elastic Scattering and the Spin Structure of the Pomeron
• Setting the scale of the p p and p bar p total cross sections using AdS/QCD
• Extracting the Odderon from $pp$ and $\bar{p}p$ scattering data
• Open-string singlet interaction as pomeron in elastic $pp,p\bar{p}$ scattering
• Spin and Polarization in High-Energy Hadron-Hadron and Lepton-Hadron Scattering

Cited by in corpus (1)

• Polarization Measurements of $p^{\uparrow }$ and ${}^3$He${}^{\uparrow }$ Beams at RHIC and Future EIC Using the Polarized Atomic Hydrogen Gas Jet Target