Odderon as a Regge spin-3 oddball in p p and p p ¯ elastic scattering

In this work, we propose that the odderon is a Regge spin-3 odd-glueball tensor. To demonstrate the proposal, we study the p p and p p ¯ elastic scattering by including the contributions of the spin-3 odderon and spin-2 pomeron exchange in the processes. The phenomenological effective Lagrangian approach is used to calculate the p p and p p ¯ elastic scattering amplitudes at the tree level. Additionally, the Donnachie-Landschoff ansatz of the odderon and pomeron propagators was used in further analysis. We fit the theoretical results with the various experimental data of the p p and p p ¯ scattering at the TeV scale to determine the model parameters in the present work. By using the model parameters, the Chew-Frautschi plot of the tensor odderon Regge trajectory is evaluated. As a result, the odderon spin-3 mass is predicted to be 3.2 GeV. In addition, a phase rotation is applied to the amplitude of our model in order to satisfy the geometric scaling at a very low t region. Moreover, the total cross section of our model is compatible with the results from TOTEM and its extrapolation from D0 collaboration. It was found that the total cross section also satisfies the Friossart bound at the Regge limit.