Narrow Results

We study the spectra of the doubly charmed tetraquark states in a diquark–antidiquark model. The doubly charmed tetraquark states form an antitriplet and sextet configurations according to flavor SU(3) symmetry. For the tetraquark state $[q{q}^{\prime }][\bar{c}\bar{c}]$, we show the mass for both bound and excited states. The two-body decays of tetraquark states $T^{cc}[0^{+}]$ and $T^{cc}[1^{--}]$ to charmed mesons have also been studied. In the end, the doubly charmed tetraquarks decays to a charmed baryon and a light baryon have been studied in the SU(3) flavor symmetry.

In this study, the bound state energy of a four-quark system was analytically calculated as a two heavy–heavy anti-quarks $\bar{b}\bar{b}$ and two light–light quarks $ud$. Tetraquark was assumed to be a bound state of two-body system consisting of two mesons, each containing a light quark and a heavy antiquark. Due to the presence of heavy mesons in the tetraquark, Born–Oppenheimer approximation was used to study its bound states. To assess the bounding energy, Schrödinger equation was solved using lattice QCD $\bar{b}\bar{b}$ potential, having expanded the tetraquark potential $\bar{b}\bar{b}ud$ up to 11th term. Binding energy state and wave function, however, were obtained in the scalar $u/d$ channel. Graphical results for wave functions obtained versus antiquark–antiquark distance $\bar{b}\bar{b}$ confirmed the existence of the tetraquark $\bar{b}\bar{b}ud$. Analytical bound state energy obtained here was in good agreement with several numerical ones published in the literature, confirming the accuracy of the approach taken here.