Discovery potential for the LHCb fully-charm tetraquark $X(6900)$ state via $\bar{p}p$ annihilation reaction

TL;DR

This paper investigates the potential to discover the fully-charm tetraquark $X(6900)$ at LHCb through $ar{p}p$ annihilation, showing promising cross sections and suggesting experimental searches in antiproton-proton collisions.

Contribution

It introduces a novel approach to detect the $X(6900)$ tetraquark via $ar{p}p$ reactions using an effective Lagrangian and Breit-Wigner analysis, highlighting its experimental feasibility.

Findings

Cross section at 6.9 GeV is significantly larger than background.

Estimated dozens of signal events could be detected.

Searching in $ar{p}p$ collisions is promising for $X(6900)$ discovery.

Abstract

Inspired by the observation of the fully-charm tetraquark $X(6900)$ state at LHCb, the production of $X(6900)$ in $\bar{p}p\rightarrow J/\psi J/\psi $ reaction is studied within an effective Lagrangian approach and Breit-Wigner formula. The numerical results show that the cross section of $X(6900)$ at the c.m. energy of 6.9 GeV is much larger than that from the background contribution. Moreover, we estimate dozens of signal events can be detected by D0 experiment, which indicates that searching for the $X(6900)$ via antiproton-proton scattering may be a very important and promising way. Therefore, related experiments are suggested to be carried out.