arXiv subjects

H. Sundu

Publications and source records attributed to H. Sundu.

At least 19 recordsLinked to original sources

arXiv2026

Interpreting the Newly Observed $\Xi(1720)$ State in the Spin-$\frac{3}{2}$ $\Xi$ Spectrum

We analyze the low lying spin-$\frac{3}{2}$ $\Xi$ spectrum by means of the two point QCD sum rule approach. The analysis is motivated by the BESIII observation of the $\Xi(1720)$ resonance, reported with mass $1721.0\pm5.2_{\mathrm{stat.}}\pm3.4_{\mathrm{syst.}}~\mathrm{MeV}$ and favored quantum numbers $J^P=\frac{3}{2}^{+}$. In this framework, we include the $1S$, $1P$, $2S$ and $2P$ configurations as possible low lying spin-$\frac{3}{2}$ cascade states. The extracted masses are $1527.53\pm111.38~\mathrm{MeV}$, $1615.30\pm50.98~\mathrm{MeV}$, $1727.52\pm42.39~\mathrm{MeV}$ and $1803.71\pm64.50~\mathrm{MeV}$ for the $1S$, $1P$, $2S$ and $2P$ states, respectively. The mass obtained for the $2S$ configuration agrees with the BESIII value within uncertainties and favors the assignment of $\Xi(1720)$ as the first radial spin-$\frac{3}{2}$ excitation of the $\Xi$ baryon.

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arXiv2026

Fully-beauty tensor tetraquark

Parameters of the fully-beauty tensor tetraquark $ T=bb\overline{b}\overline{b}$ are computed using QCD sum rule method. The mass $m$ and coupling $\Lambda$ of this state are evaluated by means of two-point sum rule approach. Prediction $m=(18530 \pm 86)~\mathrm{MeV}$ for the mass demonstrates that $T$ is stable against decays to pairs of $\eta_b \eta_b$ and $\Upsilon \Upsilon$ mesons. But it transforms to conventional particles due to $\overline{b}b$ annihilations to light quarks $\overline{q} q $ and $\overline{s}s$ followed by creation of mesons $B^{(\ast)+}B^{( \ast)-}$, $B^{(\ast)0}\overline{B}^{(\ast)0}$ and $B_s^{(\ast)0}\overline{B} _s^{(\ast)0}$. Partial width of these decay channels are calculated by invoking technical tools of three-point sum rule method. The latter allows us to estimate strong couplings at relevant tetraquark-meson-meson vertices and, hence, a width of the process under consideration. Our prediction $ \Gamma=(48 \pm 6)~\mathrm{MeV}$ along with the mass of this state can be valuable for experimental studies of all-heavy resonances.

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arXiv2026

Double strange hybrid baryon

We investigate the spectroscopic properties of the double strange hybrid baryon with quark content $ssqg$ within the framework of QCD sum rule. Using an interpolating current with explicit gluonic degrees of freedom, the two-point correlation function is analyzed in terms of two independent Lorentz structures, $\slashed{q}$ and $I$. The operator product expansion is carried out by including vacuum condensates up to dimension ten, and the corresponding sum rules are derived for both structures. By taking the average of the results obtained from the two Lorentz structures, we extract the masses and pole residues of the ground and first excited states. For the ground state, we obtain a mass of $\widetilde{M } = (1593.44\pm 130.29)~ \mathrm{MeV}$ and a residue of $\widetilde{\lambda } = (2.57\pm 0.40) \times10^{-3} ~\mathrm{GeV}^5$. For the first excited state, the corresponding values are $M = (1897.47\pm 124.44)~ \mathrm{MeV}$ and $\lambda = (2.88\pm 0.62) \times10^{-3} ~\mathrm{GeV}^5$. The obtained results provide theoretical predictions for the double strange hybrid baryon spectrum and may be useful for future experimental searches as well as further nonperturbative studies of hybrid hadrons.

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arXiv2026

Tensor molecule $J/\psi J/\psi$: A candidate to the resonance $X(6200) $

The hadronic tensor molecule $\mathcal{M}=J/\psi J/\psi$ is investigated in the framework of QCD sum rule method. We evaluate its mass and current coupling using the two-point SR approach. Our result $m=(6290 \pm 50)~ \mathrm{MeV}$ for the mass of $\mathcal{M}$ indicates that it can decay to a pair of mesons $J/\psi J/\psi$. Apart from this dominant channel there are subdominant modes of the molecule $\mathcal{M}$ generated due to annihilation of constituent $\overline{c}c$ quarks to pairs of light quarks $ \overline{q}q$ and $\overline{s}s$. This mechanism launches processes $ \mathcal{M} \to D_{(s)}^{(\ast )+}D_{(s)}^{(\ast )-}$, $DD_{1}(2420)$, $ D_sD_{s1}(2460)$ and $D_{(s)}^{(\ast )0}\overline{D}_{(s)}^{(\ast )0}$. The decays of $\mathcal{M}$ are explored by applying technical tools of the three-point sum rule approach which is necessary to estimate strong couplings at $\mathcal{M}$-meson-meson vertices. Comparing the mass $m$ of the molecule $\mathcal{M}$ and its decay width $\Gamma[\mathcal{M}]=(149 \pm 21)~ \mathrm{MeV}$ with available experimental data, we discuss the molecule $\mathcal{M}$ as a possible candidate to the tensor resonance $X(6200)$.

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arXiv2026

Resonance $X(6600)$

The resonance $X(6600)$ is explored as the all-charm tetraquark structure with spin-parities $J^{\mathrm{PC}}=2^{++}$. It is considered in the diquark-antidiquark picture and modeled as a tensor state $X$ composed of the axial-vector diquark $cC\gamma_{\mu}c$ and antidiquark $\overline{c}% \gamma_{\nu}C\overline{c}$ with $C$ being the charge conjugation matrix. The mass and decay width of $X$ are evaluated in the framework of QCD sum rule (SR) methods. The two-point SR approach is applied to find its spectroscopic parameters, while three-point SRs used to calculate partial widths of different decay channels of $X$. We study its leading decays $X \to J/\psi J/\psi$, $X \to \eta_{c}\eta_{c}$ and $\chi _{c1}(1P)\eta _{c}$ in which all four $c$-quarks constitute final-state mesons. We consider also the subleading channels $X\to D_{(s)}^{(\ast )+}D_{(s)}^{(\ast )-}$ and $% D_{(s)}^{(\ast )0}\overline{D}_{(s)}^{(\ast )0}$ generated by annihilation of $\overline{c}c$ quarks in the tetraquark. Comparison of the mass $m=(6609 \pm 50)~ \mathrm{MeV}$ and width $\Gamma[X]=(165 \pm 23)~ \mathrm{MeV}$ of the tensor diquark-antidiquark state $X$ with experimental data allows us to interpret it as an essential component of the resonance $X(6600)$. We also provide a lower limit for the mass of the first radial excitation of $X$.

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arXiv2026

Temperature Effects on a Vector Hidden-Charm Molecule

We investigate the thermal properties of the $Y(4500)$ state within the framework of thermal QCD sum rules, assuming a $D_s \bar{D}_{s1}$ molecular configuration with $J^{PC}=1^{--}$. The analysis is performed at both zero and finite temperatures, employing the operator product expansion up to dimension-5 condensates. The Borel window and continuum threshold are carefully selected to ensure OPE convergence and pole dominance. As the temperature approaches the deconfinement temperature $T_c$, the $Y(4500)$ undergoes significant medium modifications: its mass decreases by $29\%$ and its decay constant is suppressed by $94\%$ relative to their vacuum values, while the decay width increases by $35\%$, signaling the dissociation of the state in the medium. These results indicate that the $Y(4500)$ becomes unstable near $T_c \approx 155~\mathrm{MeV}$, consistent with its melting into the quark-gluon plasma. The obtained thermal spectral parameters may serve as signatures for identifying the $Y(4500)$ in heavy-ion experiments at RHIC and LHC, and provide predictions for sequential suppression patterns in the exotic hadron sector.

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arXiv2026

Analysis of Fully Heavy $P_{(3c2b)}$ and $P_{(3b2c)}$ Pentaquark Candidates

Recent progress in experimental facilities, together with larger data samples and more refined analysis strategies has enabled the observation of many exotic hadronic states, adding new members to the hadron spectrum. Each newly reported signal encourages further experimental searches and simultaneously motivates theoretical studies aimed at uncovering additional nonconventional states. Motivated by this perspective and by the increasing interest in systems containing multiple heavy quarks, we present a spectroscopic study of fully heavy pentaquark candidates with spin-parity quantum numbers $J^{P}=\frac{1}{2}^{-}$ and quark contents $QQQ'Q\bar{Q'}$, $QQQ'Q'\bar{Q}$, and $Q'Q'QQ\bar{Q}$, where $Q(Q')$ represents either $c(b)$ or $b(c)$ quarks. We employ the QCD sum rule approach with three different types of interpolating currents to obtain the corresponding masses and current coupling constants of the considered states. The following masses for the states containing three $c$ and two $b$ quarks are predicted: $m_{(3c2b)}=14479.30\pm75.06~\mathrm{MeV}$ using the current $J_1$, $\tilde{m}_{(3c2b)}=14276.80\pm76.29~\mathrm{MeV}$ using $J_2$, and $\bar{m}_{(3c2b)}=14276.80\pm76.29~\mathrm{MeV}$ using $J_3$. The corresponding predictions for the states containing three $b$ and two $c$ quarks are as $m_{(3b2c)}=17458.90\pm130.11~\mathrm{MeV}$ with $J_1$, $\tilde{m}_{(3b2c)}=17202.70\pm132.37~\mathrm{MeV}$ with $J_2$, and $\bar{m}_{(3b2c)}=17250.80\pm131.98~\mathrm{MeV}$ with $J_3$, respectively. In addition, we provide the corresponding current coupling constants, which can serve as useful inputs for analyses of decay properties and interaction mechanisms of these fully heavy pentaquark candidates.

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arXiv2026

Light double-gluon hybrid states

We investigate light hybrid mesons composed of a light quark-antiquark pair and two gluons within the framework of QCD sum rules. We focus on states with quantum numbers $J^{\mathrm{PC}} = 0^{++}, 0^{+-}, 0^{-+}, 0^{--}$ and $J^{\mathrm{PC}} = 1^{++}, 1^{+-}, 1^{-+}, 1^{--}$. By employing various interpolating currents constructed from valence light quarks and gluon fields, we determine the masses and current couplings of the $\bar{q}GGq$, $\bar{q}GGs$, and $\bar{s}GGs$ hybrid configurations. Nonperturbative effects are incorporated through quark and gluon condensates up to dimension twelve in the operator product expansion, improving the reliability of the numerical predictions. The results presented here may provide useful input for future experimental searches for light hybrid mesons and can also serve as a basis for studies of their decay properties and interactions with other hadronic states.

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arXiv2026

Tensor states $\Upsilon B_{c}^{\ast -}$ and $J/\psi B_{c}^{\ast +}$

Tensor states $\mathcal{M}_{\mathrm{T}}^{\mathrm{b}}=\Upsilon B_{c}^{\ast -}$ and $\mathcal{M}_{\mathrm{T}}^{\mathrm{c}}=J/\psi B_{c}^{\ast +}$ are explored using techniques of QCD sum rule method. These hadronic molecules, composed of only heavy quarks, have asymmetric quark contents $bb\overline{b} \overline{c}$ and $cc\overline{c}\overline{b}$, respectively. The masses $ m=(15864 \pm 85)~\mathrm{MeV}$ and $\widetilde{m}=(9870 \pm 82)~\mathrm{MeV} $ prove that these structures are unstable against dissociations to constituent mesons. Full widths of molecules $\mathcal{M}_{\mathrm{T}}^{ \mathrm{b}}$ and $\mathcal{M}_{\mathrm{T}}^{\mathrm{c}}$ are calculated by considering their dominant and subleading decay channels. The subleading channels are processes generated by annihilations of $\overline{b}b$ and $ \overline{c}c$ quarks. For the molecule $\mathcal{M}_{\mathrm{T}}^{\mathrm{b} }$ dominant decays are $\mathcal{M}_{\mathrm{T}}^{\mathrm{b}} \to \Upsilon B_{c}^{\ast -}$ and $\mathcal{M}_{\mathrm{T}}^{\mathrm{b}} \to \eta_b B_{c}^{-}$, whereas subleading channels are transformations to $\mathcal{M} _{ \mathrm{T}}^{\mathrm{b}}\rightarrow B^{(\ast )-}\overline{D}^{(\ast )0}$ and $\overline{B}_{(s)}^{(\ast )0}D_{(s)}^{(\ast )-}$ mesons. In the lower limit ($\mathrm{l.l.}$) of the mass $m=15779~\mathrm{MeV}$ for $\mathcal{M}_{ \mathrm{T}}^{\mathrm{b}}$ decay to $\Upsilon B_{c}^{\ast -}$ mesons is forbidden. In the case of $\mathcal{M}_{\mathrm{T}}^{\mathrm{c}}$ we explore decays to $J/\psi B_{c}^{\ast +}$, $\eta_{c}B_{c}^{+}$, $B^{(\ast)+}D^{(\ast )0}$ and $B_{(s)}^{(\ast )0}D_{(s)}^{(\ast )+}$ mesons. Predictions $\Gamma[ \mathcal{M} _{\mathrm{T}}^{\mathrm{b}}]=120^{+17}_{-12}~ \mathrm{MeV}$, $ \Gamma[\mathcal{M}_{\mathrm{T}}^{\mathrm{b}}]_{\mathrm{l.l.}}=(65 \pm 7)~ \mathrm{MeV}$ and ...

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arXiv2025

Molecular states $J/\psi B_{c}^{+}$ and $\eta_{c}B_{c}^{\ast +} $

Hadronic molecules $\mathfrak{M}=J/\psi B_{c}^{+}$ and $\widetilde{\mathfrak{ \ M}}=\eta _{c}B_{c}^{\ast +}$ are investigated in the framework of QCD sum rule method. These particles with spin-parities $J^{\mathrm{P}}=1^+$ have the quark contents $cc \overline{c}\overline{b}$. We compute their masses and current couplings and find that they are numerically very close to each other coinciding within accuracy of the sum rule method. Therefore, we concentrate on the molecule $J/\psi B_{c}^{+}$ and explore features of this state in a detailed form. Our prediction $m=(9740 \pm 70)~\mathrm{MeV}$ for its mass means that $\mathfrak{M}$ easily decays to pairs of ordinary mesons through strong interactions. There are two mechanisms responsible for transformations of $\mathfrak{M}$ to conventional mesons. The fall-apart mechanism generates the dominant decay channels $\mathfrak{M} \to J/\psi B_{c}^{+}$ and $\mathfrak{M} \to \eta _{c}B_{c}^{\ast +}$. Annihilation of $ \overline{c}c$ quarks triggers subdominant processes with various final-state $B$ and $D$ mesons: Six of such channels are considered in this work. The partial widths all of decays are computed using the three-point sum rule approach. The width $\Gamma[ \mathfrak{M}]=(121 \pm 17)~ \mathrm{MeV }$ of the hadronic axial-vector molecule $\mathfrak{M}$, as well as its mass provide valuable information for running and future experiments.

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arXiv2025

Axial-vector molecules $\Upsilon B_{c}^{-}$ and $\eta_{b}B_{c}^{\ast-} $

Axial-vector hadronic molecules $\mathcal{M}_{\mathrm{AV}}=\Upsilon B_{c}^{-} $ and $\widetilde{\mathcal{M}}_{\mathrm{AV}}=\eta_{b}B_{c}^{\ast -} $ with the quark content $bb \overline{b}\overline{c}$ are studied using QCD sum rule method. The spectroscopic parameters of these molecules are computed in the context of the two-point sum rule method. Predictions for their masses are identical to each other and confirm that they are structures unstable against dissociations to ordinary heavy mesons. We evaluate the width of the state $\mathcal{M}_{\mathrm{AV}}$ and assume that it is equal to that of $\widetilde{\mathcal{M}}_{\mathrm{AV}} $. To this end, we explore its dominant decay channels $\mathcal{M}_{\mathrm{AV}} \to \Upsilon B_{c}^{-} $ and $\mathcal{M}_{\mathrm{AV}} \to \eta_{b}B_{c}^{\ast -}$. There also are subleading modes of $\mathcal{M}_{\mathrm{AV}}$ generated due to annihilation of $\overline{b}b$ quarks. We consider decays of the molecule $\mathcal{M}_{\mathrm{AV}}$ to pairs of the mesons $B^{\ast -} \overline{D}^{0}$, $\overline{B}^{\ast 0} D^{-}$, $B^{-} \overline{D} ^{\ast 0}$, $\overline{B}^{0} D^{\ast -}$, $\overline{B}_{s}^{\ast 0} D_{s}^{-}$, and $\overline{B}_{s}^{0} D_{s}^{\ast -}$. To find strong couplings at the $\mathcal{M}_{\mathrm{AV}}$-meson-meson vertices which determine the partial widths of these processes, we apply QCD three-point sum rule approach. The mass $m=(15800 \pm 90)~\mathrm{MeV}$ and width $ \Gamma [\mathcal{M}_{\mathrm{AV}}]=(114 \pm 17)~ \mathrm{MeV}$ of the molecule $\mathcal{M}_{\mathrm{AV}}$ are useful for experimental studies of fully heavy molecular structures at ongoing and planning experiments.

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arXiv2025

Scalar molecules $\eta _{b}B_{c}^{-}$ and $\eta _{c}B_{c}^{+} $ with asymmetric quark contents

The hadronic scalar molecules $\mathcal{M}_{b}$ and $\mathcal{M}_{c}$ with asymmetric quark contents $bb \overline{b}\overline{c}$ and $cc \overline{c} \overline{b}$ are explored by means of the QCD sum rule method. Their masses and current couplings are calculated using the two-point sum rule approach. The obtained results show that they are strong-interaction unstable particles and transform to ordinary mesons' pairs. The molecule $\mathcal{M} _{b}$ dissociates through the process $\mathcal{M}_{\mathrm{b}}\to \eta _{b}B_{c}^{-}$. The decays $\mathcal{M}_{\mathrm{c}}\rightarrow \eta _{c}B_{c}^{+}$ and $J/\psi B_{c}^{\ast +}$ are dominant modes for the molecule $\mathcal{M}_{c}$. The full decay widths of the molecules $\mathcal{ \ \ M}_{b}$ and $\mathcal{M}_{c}$ are estimated using these decay channels, as well as ones generated by the annihilation of $b\overline{b}$ and $c \overline{c}$ quarks in $\mathcal{M}_{b}$ and $\mathcal{M}_{c}$, respectively. The QCD three-point sum rule method is employed to find partial widths all of these channels. This approach is required to evaluate the strong couplings at the molecule-meson-meson vertices under consideration. The mass $m=(15728 \pm 90)~\mathrm{MeV}$ and width $\Gamma[ \mathcal{M}_b] =(93 \pm 17)~ \mathrm{MeV}$ of the molecule $\mathcal{M}_{b}$ , and $\widetilde{m}=(9712 \pm 72)~\mathrm{MeV}$ and $\Gamma[\mathcal{M}_c] =(70 \pm 10)~ \mathrm{MeV}$ in the case of $\mathcal{M}_{c} $ offer valuable guidance for experimental searches at existing facilities.

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arXiv2025

Hadronic tensor molecule $B_c^{\ast +}B_c^{\ast -}$

Mass and full decay width of the hadronic tensor molecule $\mathcal{M}_{ \mathrm{T}}=B_c^{\ast +}B_c^{\ast -}$ are examined in the framework of QCD sum rule method. To find the mass $m$ and current coupling $\Lambda$ of this state, we use the two-point sum rules. The result $(12.87 \pm 0.08)~\mathrm{ GeV}$ for $m$ indicates that $\mathcal{M}_{\mathrm{T}}$ can easily decay to pairs of $J/\psi \Upsilon $, $\eta_{b}\eta _{c}$, $B_{c}^{+}B_{c}^{-}$, and $ B_{c}^{\ast +}B_{c}^{\ast -}$ mesons. Kinematically permitted ways for $ \mathcal{M}_{\mathrm{T}}$ to transform to conventional mesons include also processes $\mathcal{M}_{\mathrm{T}} \to D^{(\ast)+}D^{(\ast )-}$, $D^{(\ast )0}\overline{D}^{(\ast )0}$, and $D_{s}^{(\ast)+}D_{s}^{(\ast)-}$ triggered by annihilation of $b\overline{b}$ quarks in the molecule. The decays to meson pairs $B^{(\ast)+}B^{(\ast )-}$, $B^{(\ast )0}\overline{B}^{(\ast )0}$ , and $B_{s}^{(\ast)0}\overline{B}_{s}^{(\ast )0}$ generated by $c\overline{c } \to $ light quarks are also among possible channels of the hadronic molecule $\mathcal{M}_{\mathrm{T}}$. Technical tools of the three-point sum rule approach are applied to compute partial widths of these decays. Our results for the mass and width $\Gamma_{\mathcal{M}_{\mathrm{T}}}=(154 \pm 19)~ \mathrm{MeV} $ of the tensor molecule $\mathcal{M}_{\mathrm{T}}$ are important for experimental studies of fully heavy exotic structures.

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arXiv2025

Axial-vector molecular structures $B_{c}^{\ast \pm} B_{c}^{\mp}$

The axial-vector molecular structure $\mathcal{M}_{\mathrm{AV}}=(B_{c}^{\ast +}B_{c}^{-} + B_{c}^{\ast - } B_{c}^{+})/2$ is explored in QCD sum rule framework. The mass and current coupling of this compound are found by means of the two-point sum rule method. It turns out that the mass of $\mathcal{M} _{\mathrm{AV}}$ is equal to $m=(12770 \pm 60)~\mathrm{MeV}$ making possible its dissociations to pairs of $J/\psi \eta_b$, $\Upsilon \eta_c$, $ B_{c}^{\ast +} B_{c}^{-}$, and $B_{c}^{\ast - } B_{c}^{+}$ mesons. The partial widths of these decay modes contain the strong couplings at $ \mathcal{M}_{\mathrm{AV}}$-meson-meson vertices which are calculated by utilizing the three-point sum rule method. The full decay width of the molecule $\mathcal{M}_{\mathrm{AV}}$ is formed due to these dominant processes and amounts to $\Gamma[\mathcal{M}_{\mathrm{AV}}]=(93 \pm 14)~ \mathrm{MeV}$. Our results for parameters $m$ and $\Gamma[\mathcal{M}_{ \mathrm{AV}}]$ of the hadronic molecule $\mathcal{M}_{\mathrm{AV}}$ are useful for experimental studies of various fully heavy four-quark mesons.

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arXiv2025

Heavy scalar molecule $B_{c}^{+} B_{c}^{-}$

Mass and full width of the heavy scalar molecule $\mathcal{M}$ composed of the mesons $B_{c}^{+}$ and $B_{c}^{-}$ are calculated in the QCD sum rule framework. To find its mass and current coupling, we apply the two-point sum rule method. The width of the hadronic molecule $\mathcal{M} =B_{c}^{+}B_{c}^{-}$ is evaluated by taking into account its dissociation to $\eta_c\eta_{b}, J/\psi \Upsilon$, and $B_{c}^{+}B_{c}^{-} $ mesons. Decays into $D$ and $B$ meson pairs with appropriate charges and quantum numbers triggered by $\overline{b}b$ and $\overline{c}c$ annihilations to light quark-antiquarks are also included in the analyses. Because the partial widths of $\mathcal{M}$ molecule's decay channels depend on the strong couplings at $\mathcal{M}$-meson-meson vertices, we estimate them by invoking tools of the three-point sum rule method. Our predictions $m=(12725 \pm 85)~\mathrm{ MeV}$ and $\Gamma[\mathcal{\ M}]=(155 \pm 23)~ \mathrm{MeV}$ for the parameters of the molecule $\mathcal{\ M}$ provide useful information for experimental studies of numerous heavy resonances.

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arXiv2025

An interpretation of the fully-charmed scalar state $X(6200)$ as a molecular di-meson

The LHCb Collaboration recently observed new structures in the invariant mass spectrum of $J/\psi J/\psi$ meson pairs produced in proton-proton collisions, including a narrow peak around $6.2$ GeV. This study investigates the thermal behavior of this newly discovered fully-charm resonance, assuming it to be an $\eta_c\eta_c$ molecule with quantum numbers $J^{PC} = 0^{++}$. Employing thermal QCD sum rules up to dimension four, we analyze the temperature dependence of the mass and the decay constant. Our results indicate that both physical quantities decrease as the temperature rises. Notably, at zero temperature, the mass and decay constant of the state are consistent with those reported in the existing literature. These findings are expected to provide valuable insights for future experimental investigations in this field.

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arXiv2025

Tensor hybrid mesons $\overline{b}gc$

Spectroscopic parameters and widths of the tensor hybrid mesons $H_{\mathrm{ bc}}$ and $\widetilde{H}_{\mathrm{bc}}$ with the structure $\overline{b}gc$ and spin-parities $J^{\mathrm{P}}=2^{-}$ and $J^{\mathrm{P}}=2^{+}$ are calculated with high accuracy in the QCD sum rule framework. Information on their masses $m=(7.214\pm 0.075)~\mathrm{GeV}$ and $\widetilde{m} =(7.685\pm 0.040)~\mathrm{GeV}$ enable us to determine decay channels of $H_{\mathrm{bc} }$ and $\widetilde{H}_{\mathrm{bc}}$. The full width of the meson $H_{ \mathrm{bc}}$ is estimated by considering the decays $H_{\mathrm{bc}} \to D^{+}\overline{B}^{\ast 0}$ and $D^{0}B^{\ast +}$. The channels $\widetilde{H }_{\mathrm{bc}}\to B^{+}D^{0}$, $B^{0}D^{+}$, $B^{\ast +}D^{\ast 0}$, $ B^{\ast 0}D^{\ast +} $, $B_{s}^{0}D_{s}^{+}$, and $B_{s}^{\ast 0}D_{s}^{\ast +}$ are studied to find the width of the $\widetilde{H}_{\mathrm{bc}}$ state. The widths of these processes are calculated using QCD three-point sum rule approach, which require estimation of the strong couplings at hybrid-meson-meson vertices. The results $(50.8 \pm 9.8)~\mathrm{MeV}$ and $ (184.3\pm 22.8)~\mathrm{MeV}$ for the full widths of the hybrid mesons $H_{ \mathrm{bc}}$ and $\widetilde{H}_{\mathrm{bc}}$ characterize them as relatively narrow and broad structures, respectively.

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arXiv2025

Tensor hybrid charmonia

The mass and current coupling of the tensor hybrid charmonia $H_{\mathrm{c}} $ and $\widetilde{H}_{\mathrm{c}}$ with quantum numbers $J^{\mathrm{PC} }=2^{-+}$ and $2^{++}$, as well as their full widths are calculated in the context of the QCD sum rule method. The spectral parameters of these states are computed using the QCD two-point sum rule approach including dimension-12 terms $ \sim \langle g_{s}^{3}G^{3}\rangle ^{2} $. The full decay widths of the charmonia $H_{\mathrm{c}}$ and $\widetilde{H}_{\mathrm{c}}$ are evaluated by considering their kinematically allowed decay channels. In the case of the hybrid state $H_{\mathrm{c}} $ decays to $D^{(\pm )}D^{\ast (\mp )}$, $D^{0} \overline{D}^{\ast 0}$, and $D_{s}^{(\pm )}D_{s}^{\ast (\mp )} $ mesons are taken into account. The processes $\widetilde{H}_{\mathrm{c}} \to D^{(\ast)+}D^{(\ast )-}$, $D^{(\ast) 0}\overline{D}^{(\ast) 0}$, and $ D_{s}^{(\ast)+}D_{s}^{(\ast) -} $ are employed to estimate the full width of the hybrid charmonium $\widetilde{H}_{\mathrm{c}}$. The partial widths of these decays are computed by means of the QCD three-point sum rule method which is necessary to calculate strong couplings at the relevant hybrid-meson-meson vertices. Our predictions $m=(4.16\pm 0.14)~\mathrm{GeV}$ , and $\widetilde{m}=(4.5\pm 0.1)~\mathrm{GeV}$ for the masses and $\Gamma \left[ H_{\mathrm{c}}\right] =(160\pm 30)~\mathrm{MeV}$, and $\Gamma \left[ \widetilde{H }_{\mathrm{c}}\right] =(206\pm 33)~\mathrm{MeV}$ for the full width of these hybrid charmonia can be useful to study and interpret various resonances in the $4-5~\mathrm{GeV}$ mass range.

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