Predicting hidden bottom molecular tetraquarks with a complex scaling method

TL;DR

This paper predicts hidden bottom molecular tetraquark states using a coupled-channel analysis with one-boson-exchange potentials, identifying potential exotic particles beyond conventional bottomonium, and suggests experimental search strategies.

Contribution

The study introduces a complex scaling method to systematically analyze bottom tetraquark states, providing new predictions for bound states and resonances with specific experimental search recommendations.

Findings

Predicted several bound states and resonances in bottomonium-like systems.

Identified suitable decay channels for experimental detection.

Provided a range of cutoff parameters consistent with observed particles.

Abstract

In present work, we perform a coupled-channel analysis of $B^{(*)}_{(s)}\bar{B}^{(*)}_{(s)}$ systems with the one-boson-exchange potentials. We first study the $I(J^{PC})=1(1^{+-})$ $B\bar{B}^{*}/B^{*}\bar{B}^{*}$ system to describe the $Z_{b}(10610)$ and $Z_{b}(10650)$ particles as molecular states and determine the reasonable range of cutoff parameter $\Lambda$. Then, other $B^{(*)}_{(s)}\bar{B}^{(*)}_{(s)}$ combinations with different quantum numbers are systematically investigated. Some bound states and resonances appear in the isoscalar systems, while only several shallow bound states exist for isovector systems. Far away from the excited conventional $P-$wave bottomium, these predicted states can be easily identified as exotic particles both theoretically and experimentally. Moreover, the $\eta_b(nS)/\Upsilon(nS)$ plus light mesons are the excellent final states to search for the bound states, while the $B\bar B^*+h.c.$ and $B^* \bar B^*$ channels are suitable for the resonances. We highly recommend that the LHCb and Belle II Collaborations can hunt for these bottomonium-like states in future.