$T_{cc}$ pole trajectory

Abstract

We investigate the spectrum of doubly charmed tetraquark $T_{cc}$ with quantum number $I(J^P) = 0(1^+)$ using MILC's $N_f = 2+1+1$ HISQ gauge ensembles at two lattice spacings. We have included diquark-antidiquark operator together with molecular and scattering operators in our analysis and varied both the heavy and light quark masses. We employ the anisotropic Clover action for heavy quarks, and $O(a)$-improved Wilson--Clover action for the light (up/down) quarks. In order to handle the non-analyticity near the Left Hand Cut we use modified Lüschers method when close to it.

Figures (5)

• Figure 1: Heavy-light meson points
• Figure 2: Dispersion relation of $D$ and $D^\star$ meson obtained on $16^3 \times 48$ ensemble
• Figure 3: Variation of thresholds with changing light quark $\kappa$.
• Figure 4: Variation of thresholds with changing light quark $\kappa$.
• Figure 5: Energy levels of the GEVP matrix