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

TL;DR

This paper uses QCD sum rules to explore the structure and mass predictions of a charged bottom-strange scalar meson, considering a four-quark configuration and providing insights into its possible nature and related states.

Contribution

It presents a detailed QCD sum rule analysis of the bottom-strange scalar meson, including mass predictions and the impact of different constraints on the results.

Findings

Stable mass compatible with D0 observation under certain conditions.

More constrained analysis suggests a higher mass for the state.

Predicted masses for bottom scalar tetraquark states with different strange quark content.

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.