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 \mathrm{\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)\text{}\text{}\mathrm{MeV}$ and $ \mathrm{\Gamma }[\mathcal{M}]=(155\pm 23)\text{}\text{}\mathrm{MeV}$ for the parameters of the molecule $ \mathcal{M}$ provide useful information for experimental studies of numerous heavy resonances.