The doubly charmed pseudoscalar tetraquarks $T_{cc;\bar{s}\bar{s}}^{++}$ and $T_{cc;\bar{d}\bar{s}}^{++}$

Abstract

The mass and coupling of the doubly charmed $J^P=0^{-}$ diquark-antidiquark states $T_{cc;\bar{s}\bar{s}}^{++}$ and $T_{cc;\bar{d}\bar{s}}^{++}$ that bear two units of the electric charge are calculated by means of QCD two-point sum rule method. Computations are carried out by taking into account vacuum condensates up to and including terms of tenth dimension. The dominant $S$-wave decays of these tetraquarks to a pair of conventional $D_s^{+}{D}_{s0}^{\ast +}(2317)$ and $D^{+}{D}_{s0}^{\ast +}(2317)$ mesons are explored using QCD three-point sum rule approach, and their widths are found. The obtained results $m_T=(4390\pm 150)\mathrm{MeV}$ and $\Gamma =(302\pm 113\mathrm{MeV}$) for the mass and width of the state $T_{cc;\bar{s}\bar{s}}^{++}$, as well as spectroscopic parameters ${\tilde{m}}_T=(4265\pm 140)\mathrm{MeV}$ and $\tilde{\Gamma }=(171\pm 52)\mathrm{MeV}$ of the tetraquark $T_{cc;\bar{d}\bar{s}}^{++}$ may be useful in experimental studies of exotic resonances.

Comments: 10 Pages, 4 Figures and 1 Table