Hunting for exotic doubly hidden-charm/bottom tetraquark states

Wei Chen,Hua-Xing Chen,Xiang Liu,T.G Steele,Shi-Lin Zhu

doi:10.1016/j.physletb.2017.08.034

Abstract

We develop a moment QCD sum rule method augmented by fundamental inequalities to study the existence of exotic doubly hidden-charm/bottom tetraquark states made of four heavy quarks. Using the compact diquark–antidiquark configuration, we calculate the mass spectra of these tetraquark states. There are 18 hidden-charm ccc¯c¯ tetraquark currents with JPC=0++, 0−+, 0−−, 1++, 1+−, 1−+, 1−−, and 2++. We use them to perform QCD sum rule analyses, and the obtained masses are all higher than the spontaneous dissociation thresholds of two charmonium mesons, which are thus their dominant decay modes. The masses of the corresponding hidden-bottom bbb¯b¯ tetraquarks are all below or very close to the thresholds of the ϒ(1S)ϒ(1S) and ηb(1S)ηb(1S), except one current of JPC=0++. Hence, we suggest to search for the doubly hidden-charm states in the J/ψJ/ψ and ηc(1S)ηc(1S) channels.

Highlights

We develop a moment QCD sum rule method augmented by fundamental inequalities to study the existence of exotic doubly hidden-charm/bottom tetraquark states made of four heavy quarks
In this letter we develop a moment QCD sum rule method augmented by fundamental inequalities to systematically study the doubly hidden-charm/bottom tetraquark states ccccand bbbbwith quantum numbers JPC = 0++, 0−+, 0−−, 1++, 1+−, 1−+, 1−−, and 2++
We find a typical common peculiarity of the predicted masses of these doubly hidden-charm and hidden-bottom tetraquark states, i.e., the masses of all cccctetraquarks are higher than the two charmonium thresholds while the bbbbtetraquark states lie below the dissociation thresholds of two bottomonium states, and these masses do not overlap with the mass ranges of the observed charmonia/bottomonia

Summary

Introduction

We develop a moment QCD sum rule method augmented by fundamental inequalities to study the existence of exotic doubly hidden-charm/bottom tetraquark states made of four heavy quarks. In this letter we develop a moment QCD sum rule method augmented by fundamental inequalities to systematically study the doubly hidden-charm/bottom tetraquark states ccccand bbbbwith quantum numbers JPC = 0++, 0−+, 0−−, 1++, 1+−, 1−+, 1−−, and 2++. Systematic theoretical studies of the doubly hidden-charm/bottom tetraquark states seem to be imperative and useful for future experimental studies.

Results

Conclusion