Scalar molecules $η_{b}B_{c}^{-}$ and $η_{c}B_{c}^{+} $ with asymmetric quark contents Article Swipe

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Agaev, S. S. , Azizi, K. , Sundu, H. · YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2511.03541

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 $\mathcal{M}_{\mathrm{b}}\to η_{b}B_{c}^{-}$. The decays $\mathcal{M}_{\mathrm{c}}\rightarrow η_{c}B_{c}^{+}$ and $J/ψB_{c}^{\ast +}$ 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 $Γ[\mathcal{M}_b] =(93 \pm 17)~ \mathrm{MeV}$ of the molecule $\mathcal{M}_{b}$, and $ \widetilde{m}=(9712 \pm 72)~\mathrm{MeV}$ and $Γ[\mathcal{M}_c]=(70 \pm 10)~ \mathrm{MeV}$ in the case of $\mathcal{M}_{c} $ offer valuable guidance for experimental searches at existing facilities.

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preprint

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https://doi.org/10.48550/arxiv.2511.03541

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green

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https://openalex.org/W7104286807

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https://openalex.org/W7104286807

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https://doi.org/10.48550/arxiv.2511.03541

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Title

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

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preprint

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2025

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2025-11-05

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Agaev, S. S., Azizi, K., Sundu, H.

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https://doi.org/10.48550/arxiv.2511.03541

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green

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https://doi.org/10.48550/arxiv.2511.03541

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Concepts

Physics, Particle physics, Annihilation, Scalar (mathematics), Hadron, Quark, QCD sum rules, Molecule, Quantum chromodynamics, Sum rule in quantum mechanics, Quark model, Particle decay, Nuclear physics, Tetraquark, Electron–positron annihilation, Elementary particle, Quarkonium, Quantum electrodynamics

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