Fully open-flavor tetraquark states \(bc\bar{q}\bar{s}\) and \(sc\bar{q}\bar{b}\) with \(J^{P}=0^{+},1^{+}\)

• Published in: arXiv.org
• Main Authors: Qi-Nan, Wang, Chen, Wei
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 11.02.2020
• Subjects: Flavor (particle physics); Mathematical analysis; Quantum chromodynamics; Quantum numbers; Sum rules; Thresholds
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.2002.04243

We have studied the masses for fully open-flavor tetraquark states \(bc\bar{q}\bar{s}\) and \(sc\bar{q}\bar{b}\) with quantum numbers \(J^{P}=0^{+},1^{+}\). 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 \(7.1-7.2\) GeV for the \(bc\bar{q}\bar{s}\) tetraquark states and \(7.0-7.1\) GeV for the \(sc\bar{q}\bar{b}\) tetraquarks. The masses of \(bc\bar{q}\bar{s}\) tetraquarks are below the thresholds of \(\bar{B}_{s}D\) and \(\bar{B}_{s}^{*}D\) final states for the scalar and axial-vector channels respectively. The \(sc\bar{q}\bar{b}\) tetraquark states with \(J^{P}=1^{+}\) lie below the \(B_{c}^{+}K^{*}\) and \(B_{s}^{*}D\) 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.