Investigating different structures of the Z_{b}(10610) and Z_{b}(10650)

TL;DR

This paper investigates the internal structures of the Z_b(10610) and Z_b(10650) resonances, considering molecular and tetraquark models, and uses QCD sum rules to estimate their masses, finding consistency with experimental data.

Contribution

It provides a comparative analysis of molecular and tetraquark configurations for Z_b states using QCD sum rules, offering mass predictions that align with observed resonances.

Findings

Mass estimates for Z_b(10610) and Z_b(10650) match experimental values.

Both molecular and tetraquark models yield similar mass predictions.

QCD sum rules effectively describe the structures of these resonances.

Abstract

The recently observed narrow resonance $Z_{b}(10610)$ is examined with the assumptions both as a $B^{*}\bar{B}$ molecular state and a $[bd][\bar{b}\bar{u}]$ tetraquark state with quantum numbers $I^{G}J^{P}=1^{+}1^{+}$. Possible interpolating currents are constructed to describe the $Z_{b}(10650)$ as an axial-vector $B^{*}\bar{B}^{*}$ molecular state or a $[bd][\bar{b}\bar{u}]$ tetraquark state. Using QCD sum rules (QCDSR), we consider contributions up to dimension six in the operator product expansion (OPE) at the leading order in $\alpha_{s}$. The mass is obtained as $(10.44\pm0.23) GeV$ for molecular state and $(10.50\pm0.19) GeV$ for tetraquark state, both of which coincide with the $Z_{b}(10610)$. The results $m_{B^{*}\bar{B}^{*}}=(10.45\pm0.31) GeV$ and $m_{[bd][\bar{b}\bar{u}]}=(10.48\pm0.33) GeV$ are consistent with the $Z_{b}(10650)$.