Fully heavy tetraquark resonant states with different flavors

TL;DR

This paper calculates the mass spectrum of fully heavy tetraquark states with different flavors using advanced quantum methods, predicting resonant states that could be observed experimentally, especially in the $bcar bar c$ system.

Contribution

It introduces a comprehensive calculation of fully heavy tetraquark resonant states with different flavors using the Gaussian expansion and complex scaling methods, predicting their masses and properties.

Findings

Resonant states identified in specific mass regions for various flavor configurations.

$bc\bar b\bar c$ states are most promising for experimental detection.

All identified states are compact tetraquarks based on root-mean-square radii.

Abstract

We use the quark potential model to calculate the mass spectrum of the S-wave fully heavy tetraquark systems with different flavors, including the $ bc\bar b\bar c, bb\bar c\bar c, cc\bar c\bar b $ and $ bb\bar b\bar c $ systems. We employ the Gaussian expansion method to solve the four-body Schr\"odinger equation, and the complex scaling method to identify resonant states. The $ bc\bar b\bar c, bb\bar c\bar c, cc\bar c\bar b $ and $ bb\bar b\bar c $ resonant states are obtained in the mass regions of $ (13.2,13.5) $, $ (13.3,13.6) $, $ (10.0,10.3) $, $ (16.5,16.7) $ GeV, respectively. Among these states, the $ bc\bar b\bar c $ tetraquark states are the most promising ones to be discovered in the near future. We recommend the experimental exploration of the $ 1^{++} $ and $ 2^{++} $ $ bc\bar b\bar c $ states with masses near $ 13.3 $ GeV in the $ J/\psi\Upsilon $ channel. From the root-mean-square radii, we find that all the resonant states we have identified are compact tetraquark states.