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

TL;DR

This paper predicts the masses, couplings, and decay widths of doubly charmed tetraquarks with specific quark compositions using QCD sum rule methods, providing theoretical data for experimental searches.

Contribution

It offers the first detailed QCD sum rule calculations of masses, couplings, and decay widths for these specific doubly charmed tetraquarks, including vacuum condensates up to tenth dimension.

Findings

Mass of $T_{cc;ar{s} ar{s}}^{++}$ is approximately 4390 MeV.

Width of $T_{cc;ar{s} ar{s}}^{++}$ is about 302 MeV.

Mass of $T_{cc;ar{d} ar{s}}^{++}$ is approximately 4265 MeV.

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 $\widetilde{m} _{T}=(4265\pm 140)~\mathrm{MeV}$ and $\widetilde{\Gamma }=(171~\pm 52)~ \mathrm{MeV}$ of the tetraquark $T_{cc;\bar{d} \bar{s}}^{++}$ may be useful in experimental studies of exotic resonances.