Odderon as reggeized oddball spin-3 in $pp$ and $p\bar p$ elastic scattering

Jingle B. Magallanes, Prin Sawasdipol, Chakrit Pongkitivanichkul, Daris Samart

Published 2022-12-21Version 1

In this work, we propose that the odderon is a reggeized odd-glueball tensor spin-3. To demonstrate our proposal, we study the $pp$ and $p\bar p$ elastic scattering by including contributions of the spin-3 odderon and spin-2 pomeron exchange in the process. The phenomenological effective Lagrangian approach is used to calculate the $pp$ and $p\bar p$ elastic scattering amplitudes at the tree level. We fit the theoretical results with the various experimental data of the $pp$ and $p\bar p$ scattering at the TeV scale to determine the model parameters in the present work. By using the model parameters, as a result, the Chew-Frautschi plot of the tensor odderon regge trajectory is evaluated. In addition, the odderon spin-3 mass is predicted to be about 3 GeV which agrees with a double pole regge model extracted from the data. In addition, the $pp$ total cross-section of our model is compatible with the results from TOTEM and its extrapolation from D0 collaboration. Moreover, the total cross-section also satisfies the Friossart bound at the regge limit.