Abstract

The goal of the present work is to obtain a reliable estimate of the masses of the ground and radially excited states of fully-heavy tetraquark systems. In order to do this, we use a nonrelativistic model of tetraquarks which are assumed to be compact and consist of diquark-antidiquark pairs. This nonrelativistic model is composed of Hulthen potential, a linear confining potential and spin-spin interaction. We computed ground, first, and second radially excited cc{bar{c}}{bar{c}} and bb{bar{b}}{bar{b}} tetraquark masses. It was found that predicted masses of ground states of cc{bar{c}}{bar{c}} and bb{bar{b}}{bar{b}} tetraquarks are significantly higher than the thresholds of the fall-apart decays to the lowest allowed two-meson states. These states should be broad and are thus difficult to observe experimentally. First radially excited states are considerably lower than their corresponding (2S-2S) two-meson thresholds. We hope that our study may be helpful to the experimental search for ground and excited cc{bar{c}}{bar{c}} and bb{bar{b}}{bar{b}} tetraquark states.

Highlights

  • Many new a e-mail: hmutuk@omu.edu.tr exotic hadron candidates have been observed by decaying into final states of a charm and anticharm quarks

  • The physics of exotic hadrons is a thorough piece of research which involves both short and long distance behaviors of QCD

  • Hadronic molecules are loosely bounded systems together by the exchange of pions and other light mesons. This scenario has received a lot of interest due to the masses of several X Y Z hadrons are very close to the related meson-antimeson thresholds

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Summary

Introduction

Prior to and after these experimental studies, the possible existence of bbbbstate was investigated on the theoretical basis [40,41,42,43,44,45,46,47,48] Motivated with this charm sector observation and a possible open window for fully-bottomed tetraquark states, in the present work we will use a nonrelativistic model to study tetraquarks as composed of diquarks and antidiquarks, which interact much like ordinary quarkonia. The binding mechanism in fully-heavy systems is probably dominated by the gluon-exchange forces since the typical gluon mass scale is mg ∼ 0.5 GeV This mass value is much lighter than the possible force carriers of heavy-mesons that could be exchanged between the heavy diquark (Q Q) and antidiquark (Q Q ) of tetraquark structure.

Potential model
Numerical analysis and discussion
Diquarks
Tetraquarks
11 S0 13 S1 15 S2
Summary and Concluding Remarks
Full Text
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