Phenomenological Study Of Energy Spectrum Of Full Heavy Tetraquark States

In the classical quark model proposed by Gell-mann et al.,mesons are interpreted as bound states composed of a quark-antiquark pair,while baryons are bound states composed of three quarks.For more than half a century,the classical quark model has achieved great success in predicting and explaining the hadron spectrum,etc.However,Quantum Chromodynamics（QCD）does not exclude some hadronic states with more complex structures,such as tetraquark meson states,pentaquark baryon states,glueballs,hybrid states,etc.At present,these hadronic states are collectively called strange hadronic states.Over the years,the prediction and search for strange hadronic states have become one of the most important topics in hadronic physics.Since the beginning of this century,more and more strange hadron state candidates have been found in hadron experiments,such as X（3872）discovered by Belle et al in 2003,(5₍（8）（3900）discovered by BESⅢin2013,and₍（8） pentaquark baryon state discovered by LHCb in 2015.The discovery of many strange hadronic states is both a challenge and an opportunity for the theory of hadronic physics.Strange hadronic states have more complex structures,thus a theoretical self-consistent explanation of their structures is helpful to deepen our understanding of the strong interaction.In fact,Dalitz et al.predicted the existence of pentaquark baryon states dominated by?before the birth of the classical quark model.With the continuous development of theory and experiment,hadronic physics theorists have made a lot of meaningful research work on the structure,generation and decay properties of strange hadronic states by using hadronic model,chiral efficient theory,lattice QCD and other theoretical methodsAt present,hadronic physicists generally believe that hadron-hadronic molecular states should be dominant in most of the strange hadronic states discovered.However,the probability of compact multiquark states among these strange hadronic states,and whether there are strange hadronic states dominated by compact multiquark components,remains an open question.The full heavy tetraquark state provides a good platform for us to study related problems.In 2020,the LHCb collaboration announced that in the?-?invariant mass spectrum,they found a broad structure near 6.2-6.8Ge V and a narrow structure near6.9Ge V,respectively.This means that there could be a strange meson state made up of two charm quark-anticharm pairs.In 2022,the CMS,ATLAS collaboration confirmed the existence of X（6900）and discovered two new all-charm meson states X（6600）and X（7300）.These experimental findings further set off a flurry of research on the fully heavy tetraquark strange meson states.Therefore,in this paper,we have calculated the energy spectrum of the all-charm tetraquark state dominated by compact tetraquark,and tried to analyze the possibility of the all-charm meson states as compact tetraquark states.At the same time,we also calculated the energy spectrum of the full heavy tetraquark states including the charm and the bottom heavy flavor quarks.In the specific calculation process,we use the non-relativistic constituent quark model which includes one-gluon-exchange interaction and instanton-induced effective interaction of quark-quark two-body interaction.Our results show that the mass of cc(8(?8?and(7(7(7?(7?ground states of the full heavy tetraquark may be around 6500 Me V and 19200 Me V,respectively.Based on our calculations,the new X（6900）state observed by LHCb may be not a ground cc(8?(8?tetraquark state,while it could be an orbitally or radially excited state of cc(8?(8?system.On the other hand,the recently reported X（6600）state by CMS and ATLAS can be explained as a ground cc（?）（?） tetraquark state with spin-parity J^PC=0⁺⁺.