The all-charm tetraquark and its contribution to two-photon processes

TL;DR

This paper investigates the role of all-charm tetraquark states in two-photon processes, calculating decay widths and testing sum rule predictions to explain potential excesses observed in experiments.

Contribution

It introduces a non-relativistic potential model for all-charm tetraquarks and applies sum rule constraints to predict light-by-light scattering cross sections.

Findings

Calculated two-photon decay widths for all-charm tetraquarks.

Predicted light-by-light scattering cross sections consistent with sum rule constraints.

Provided insights into possible exotic state contributions to experimental excesses.

Abstract

Prompted by several potential tetraquark states that have been reported by the LHCb, CMS and ATLAS collaborations in the di-$J/\Psi$ and $J/\Psi \Psi(2S)$ spectra, we investigate their contribution to two-photon processes. Within a non-relativistic potential model for the all-charm tetraquark states, we calculate the two-photon decay widths of these states, and test model independent sum rule predictions. Imposing such sum rule constraints allows us to predict the light-by-light scattering cross sections in a consistent way and check if any excess, in comparison to the Standard Model prediction, as reported by ongoing ATLAS experiments can be attributed to intermediate exotic states.