A QCD sum rule study for a charged bottom-strange scalar meson

Abstract

Using the QCD sum rule approach we investigate the possible four-quark structure for the new observed $B_s^0{\pi }^{\pm }$ narrow structure (D0). We use a diquak-antidiquark scalar current and work to the order of $m_s$ in full QCD, without relying on $1/m_Q$ expansion. Our study indicates that although it is possible to obtain a stable mass in agreement with the state found by the D0 collaboration, a more constraint analysis (simultaneous requirement of the OPE convergence and the dominance of the pole on the phenomenological side) leads to a higher mass. We also predict the masses of the bottom scalar tetraquark resonances with zero and two strange quarks.

8 pages, 8 figures

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