Photoproduction of doubly charmed tetraquark $T_{cc}$ via photon-gluon fusion at ILC and CLIC

Abstract

The photoproduction of doubly charmed tetraquark $T_{cc}$ is predicted through the resolved channel $γ+g\to \to \langle cc \rangle[n] + \bar{c}+\bar{c} \to T_{cc}+\bar{c}+\bar{c}$ at ILC and CLIC. At $e^{+}e^{-}$ colliders, the initial photons $γ$ can be produced from two primary sources, well-delineated within the $Weiz\ddot{a}cker$ Williams approximation (WWA) and the laser back-scattering (LBS). And the initial gluon can be emitted from the photon. The spin and color quantum number $[n]$ of the intermediate diquark configuration can be $\langle cc\rangle[^3S_1]_{\bar{3}}$. Then its nonperturbative hadronization to $T_{cc}$ was discussed in the phenomenological potential models. Finally, the differential distributions and theoretical uncertainty of the doubly charmed tetraquark $T_{cc}$ were analyzed. The conclusion is that it is promising to observe $T_{cc}$ via the resolved channel of photoproduction both at the ILC and CLIC, and the results have a strong dependence on the mass of constituent charm quark $m_c$ and the potential model.