Inclusive production of fully-charmed ${\bm 1}^{\bm{+}\bm{-}}$ tetraquark at $\bm B$ factory

TL;DR

This paper predicts the production rate of a specific fully-charmed tetraquark at B factories using NRQCD, motivated by the recent LHCb discovery of a related state, and discusses its potential observation at Belle 2.

Contribution

It provides the first theoretical estimate of the inclusive production rate of the $1^{+-}$ fully-charmed tetraquark at B factories within the NRQCD framework.

Findings

Predicted the production rate of the $1^{+-}$ $T_{4c}$ tetraquark.

Estimated the long-distance matrix elements using a diquark-antidiquark model.

Discussed the observability prospects at Belle 2.

Abstract

Inspired by the recent discovery of the $X(6900)$ meson at {\tt LHCb} experiment, we investigate the inclusive production rate of the $C$-odd fully-charmed tetraquarks associated with light hadrons at the $B$ factory within the nonrelativistic QCD (NRQCD) factorization framework. The short-distance coefficient is computed at lowest order in velocity and $\alpha_s$. Employing the diquark-antidiquark model to roughly estimate the long-distance NRQCD matrix elements, we predict the rate for inclusive production of the $1^{+-}$ $T_{4c}$ state and discuss the observation prospects at {\tt Belle 2} experiment.