Abstract

With the advance of experiment, many high excited states of meson are identified. It is found that many of them are di cult to fit into conventional q ¯ q me- son spectra. Various explanations are proposed. One of them is the four-quark states or molecules of two mesons. In the framework of quark model, by taking into account of multi-body interaction, four-quark states are studied. The results show that the scalar mesons: f0(600),f0(980) and Y(2175) can be well described by four-quark states. Fur- thermore, unquenched quark model, which incorporates the four-quark components in the conventional q ¯ q states, is constructed for mesons. By readjusting the model parameters, the model can give a good description of mesons. The model is also used to study the newly discovered XYZ particles.

Highlights

  • Hadrons are the strong interacting systems, which are the main source we get the information of quantum chromodynamics (QCD), the fundamental theory of strong interaction

  • The results show that the scalar mesons: f0(600), f0(980) and Y(2175) can be well described by four-quark states

  • Unquenched quark model, which incorporates the four-quark components in the conventional qqstates, is constructed for mesons

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Summary

Introduction

Hadrons (meson and baryon) are the strong interacting systems, which are the main source we get the information of quantum chromodynamics (QCD), the fundamental theory of strong interaction. The effects of high Fock states are renormalized into the parameters. In most case, it is a good approximation, especially for ground state hadrons with heavy quarks. The present work is trying to study the charmonium spectrum by including the four-quark component in addition to qqin the calculation.

Constituent Quark Models
The String model for tetraquark states
Unquenched Quark Model for Charmonium
13 D3 23 D3 33 D3 43 D3 53 D3
Summary

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