A family of double-beauty tetraquarks: Axial-vector state
Ulaş Özdem (Health Services Vocational School of Higher Education, Istanbul Aydin University, Sefakoy-Kucukcekmece, 34295 Istanbul, Türkiye)
The spectroscopic parameters and decay channels of the axial-vector tetraquark $ T_{bb;\overline{u}\overline{s}}^{-} $ (in what follows, $ T_{bb;\overline{u}\overline{s}}^{-} $ ) are explored using the quantum chromodynamics (QCD) sum rule method. The mass and coupling of this state are calculated using two-point sum rules by taking into account various vacuum condensates, up to 10 dimensions. Our prediction for the mass of this state $ T_{bb;\overline{u}\overline{s}}^{-} $ confirms that it is stable with respect to strong and electromagnetic decays and can dissociate to conventional mesons only via weak transformations. We investigate the dominant semileptonic $ T_{bb;\overline{u}\overline{s}}^{-} $ and nonleptonic $ T_{bb;\overline{u}\overline{s}}^{-} $ decays of $ T_{bb;\overline{u}\overline{s}}^{-} $ . In these processes, $ T_{bb;\overline{u}\overline{s}}^{-} $ is a scalar tetraquark $ T_{bb;\overline{u}\overline{s}}^{-} $ built of a color-triplet diquark and an antidiquark, whereas M is one of the vector mesons $ T_{bb;\overline{u}\overline{s}}^{-} $ , $ T_{bb;\overline{u}\overline{s}}^{-} $ , $ T_{bb;\overline{u}\overline{s}}^{-} $ , and $ T_{bb;\overline{u}\overline{s}}^{-} $ . To calculate the partial widths of these decays, we use the QCD three-point sum rule approach and evaluate the weak transition form factors $ T_{bb;\overline{u}\overline{s}}^{-} $ ( $ T_{bb;\overline{u}\overline{s}}^{-} $ ), which govern these processes. The full width $ T_{bb;\overline{u}\overline{s}}^{-} $ and the mean lifetime $ T_{bb;\overline{u}\overline{s}}^{-} $ of the tetraquark $ T_{bb;\overline{u}\overline{s}}^{-} $ are computed using the aforementioned weak decays. The obtained information about the parameters of $ T_{bb;\overline{u}\overline{s}}^{-} $ and $ T_{bb;\overline{u}\overline{s}}^{-} $ is useful for experimental investigations of these double-heavy exotic mesons.