{ "id": "2308.02423", "version": "v1", "published": "2023-08-04T16:07:14.000Z", "updated": "2023-08-04T16:07:14.000Z", "title": "Effects of odderon spin on helicity amplitudes in $pp$ elastic scattering", "authors": [ "Prin Sawasdipol", "Jingle B. Magallanes", "Chakrit Pongkitivanichkul", "Daris Samart" ], "comment": "11 pages, 2 figures", "categories": [ "hep-ph", "nucl-th" ], "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.", "revisions": [ { "version": "v1", "updated": "2023-08-04T16:07:14.000Z" } ], "analyses": { "keywords": [ "helicity amplitudes", "elastic scattering", "odderon spin", "tensor odderon", "spin quantum number" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }