Fully open-flavor tetraquark states $$bc\bar{q}\bar{s}$$ bcq¯s¯ and $$sc\bar{q}\bar{b}$$ scq¯b¯ with $$J^{P}=0^{+},1^{+}$$ JP=0+,1+

• Main Authors: Qi-Nan Wang, Wei Chen
• Format: Article
• Language: English
• Published: SpringerOpen 2020-05-01
• Series: European Physical Journal C: Particles and Fields
• Online Access: http://link.springer.com/article/10.1140/epjc/s10052-020-7938-2
• ISSN: 1434-6044; 1434-6052

Abstract We have studied the masses for fully open-flavor tetraquark states $$bc\bar{q}\bar{s}$$ bcq¯s¯ and $$sc\bar{q}\bar{b}$$ scq¯b¯ ($$q=u, d$$ q=u,d ) with quantum numbers $$J^{P}=0^{+},1^{+}$$ JP=0+,1+ . We systematically construct all diquark–antiquark interpolating currents and calculate the two-point correlation functions and spectral densities in the framework of QCD sum rule method. Our calculations show that the masses are about $$7.1-7.2$$ 7.1-7.2 GeV for the $$bc\bar{q}\bar{s}$$ bcq¯s¯ tetraquark states and $$7.0-7.1$$ 7.0-7.1 GeV for the $$sc\bar{q}\bar{b}$$ scq¯b¯ tetraquarks. The masses of $$bc\bar{q}\bar{s}$$ bcq¯s¯ tetraquarks are below the thresholds of $$\bar{B}_{s}D$$ B¯sD and $$\bar{B}_{s}^{*}D$$ B¯s∗D final states for the scalar and axial-vector channels respectively. The $$sc\bar{q}\bar{b}$$ scq¯b¯ tetraquark states with $$J^{P}=1^{+}$$ JP=1+ lie below the $$B_{c}^{+}K^{*}$$ Bc+K∗ and $$B_{s}^{*}D$$ Bs∗D thresholds. Such low masses for these possible tetraquark states indicate that they can only decay via weak interaction and thus are very narrow and stable.