Abstract

We study the $Y(2175)$ using the method of QCD sum rules. There are two independent $ss\bar s\bar s$ interpolating currents with $J^{PC} = 1^{--}$, and we calculate both their diagonal and off-diagonal correlation functions. We obtain two new currents which do not strongly correlate to each other, so they may couple to two different physical states: one of them couples to the $Y(2175)$, while the other may couple to another state whose mass is about $71 ^{+172}_{-~48}$ MeV larger. Evidences of the latter state can be found in the BaBar, BESII, Belle, and BESIII experiments.

Highlights

  • We study the Yð2175Þ using the method of quantum chromodynamics (QCD) sum rules

  • We obtain two new currents that do not strongly correlate to each other, so they may couple to two different physical states: one of them couples to the Yð2175Þ, while the other may couple to another state whose mass is evaluated to be 2.41 Æ 0.25 GeV

  • In recent years there have been lots of exotic hadrons observed in hadron experiments [1], which cannot be explained in the traditional quark model and are of particular importance to understand the low energy behaviors of quantum chromodynamics (QCD) [2,3,4,5,6,7,8]

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Summary

INTRODUCTION

In recent years there have been lots of exotic hadrons observed in hadron experiments [1], which cannot be explained in the traditional quark model and are of particular importance to understand the low energy behaviors of quantum chromodynamics (QCD) [2,3,4,5,6,7,8]. [34] the authors interpreted the Yð2175Þ as a strangeonium hybrid state and used the flux-tube model to study its decay properties. This interpretation is not supported by the nonperturbative lattice QCD calculations [35]. [41] we only calculated the diagonal terms of these two currents, and in this work we shall further calculate their off-diagonal term to study their correlation This can significantly improve our understanding on the relations between interpolating currents and physical states

INTERPOLATING CURRENTS AND THEIR RELATIONS TO POSSIBLE PHYSICAL STATES
QCD SUM RULE ANALYSIS
NUMERICAL ANALYSIS
SUMMARY AND DISCUSSIONS

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