Eur. Phys. J. Plus (2023) 138: 621
https://doi.org/10.1140/epjp/s13360-023-04260-2

Regular Article

Strange partners of the doubly charmed tetraquark $T_{\mathit{cc}}^{+}$

¹ Institute for Physical Problems, Baku State University, Az–1148, Baku, Azerbaijan
² Department of Physics, University of Tehran, North Karegar Avenue, 14395-547, Tehran, Iran
³ Department of Physics, Doǧuş University, Dudullu-Ümraniye, 34775, Istanbul, Turkey
⁴ Department of Physics, Kocaeli University, 41380, Izmit, Turkey
⁵ Department of Physics Engineering, Istanbul Medeniyet University, 34700, Istanbul, Turkey

^b kazem.azizi@ut.ac.ir

Received: 9 January 2023
Accepted: 6 July 2023
Published online: 17 July 2023

Abstract

The spectroscopic parameters and widths of the axial-vector $T_{cc:s}^{\text{AV}}$ and scalar $T_{cc:s}^{\text{S}}$, ${\tilde{T}}_{cc:s}^{\text{S}}$ strange partners of the doubly charmed exotic meson $T_{\mathit{cc}}^{+}$ with the content $cc\overline{u}\overline{s}$, are calculated in the framework of the QCD sum rule method. We model $T_{cc:s}^{\text{AV}}$ as the diquark–antidiquark state composed of axial-vector and scalar components, whereas scalar particles $T_{cc:s}^{\text{S}}$ and ${\tilde{T}}_{cc:s}^{\text{S}}$ are built of axial-vector and scalar diquarks, respectively. The masses and current couplings of these tetraquarks are calculated in the context of the two-point sum rule approach by taking into account the quark, gluon and mixed condensates up to dimension 10. The full width of the state $T_{cc:s}^{\text{AV}}$ is found from analysis of the processes $T_{cc:s}^{\text{AV}}\to D^0{D}_s^{\ast +}$ and $T_{cc:s}^{\text{AV}}\to D^{\ast }{(2007)}^0{D}_s^{+}$. Decays to $D^0{D}_s^{+}$, $D^{\ast }{(2007)}^0{D}_s^{\ast +}$ and $D^0{D}_s^{+}$ mesons are utilized in the case of the scalar tetraquarks $T_{cc:s}^{\text{S}}$ and ${\tilde{T}}_{cc:s}^{\text{S}}$, respectively. The partial widths of the aforementioned decays are determined via the strong couplings $g_1$, $g_2$, $G_1$, $G_2$ and $\tilde{G}$, which describe the strong interactions of the particles at the relevant tetraquark–meson–meson vertices. These couplings are computed using the QCD three-point sum rule method, most appropriate for the strong decays under study. The predictions $m=(3995\pm 143)\text{MeV}$ and ${\mathrm{\Gamma }}_{\text{AV}}=(72\pm 13)\text{MeV}$, as well as $m_{\text{S}}=(4128\pm 142)\text{MeV}$, ${\mathrm{\Gamma }}_{\text{S}}=(213\pm 47)\text{MeV}$ and ${\tilde{m}}_{\text{S}}=(4035\pm 145)\text{MeV}$ and ${\tilde{\mathrm{\Gamma }}}_{\text{S}}=(123\pm 32)\text{MeV}$ obtained for the masses and widths of these tetraquarks in the present work can be useful in future experimental investigations of the doubly charmed four-quark resonances.