Abstract

We have calculated the mass spectra for the molecular states and tetraquark states with . The masses of the axial-vector , molecular states and , tetraquark states are predicted to be approximately 3.98 GeV, in good agreement with the mass of from BESIII. In both the molecular and diquark-antidiquark scenarios, our results suggest that there may exist two almost degenerate states, as the strange partners of and . We propose to carefully examine in future experiments to verify this. One may also search for more hidden-charm four-quark states with strangeness in not only the open-charm channels but also the hidden-charm channels , .

Highlights

  • The BESIII Collaboration announced a new structure near the Ds−D∗0 and Ds∗−D0 thresholds in the K+ recoil-mass spectra in e+e− → K+ Ds−D∗0 + Ds∗−D0 [1]

  • To study the hidden-charm four-quark systems with strangeness, we have calculated the mass spectra for the Ds(∗)D(∗) molecular states and scqctetraquark states with JP = 0+, 1+, 2+ in the framework of QCD sum rules

  • One may wonder if the two-meson scattering states can contribute to the correlation functions in our calculations

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Summary

INTRODUCTION

The BESIII Collaboration announced a new structure near the Ds−D∗0 and Ds∗−D0 thresholds in the K+ recoil-mass spectra in e+e− → K+ Ds−D∗0 + Ds∗−D0 [1]. Since the Zcs(3985)− lie very close to the mass thresholds of Ds−D∗0 and Ds∗−D0, it is naturally studied in a molecular picture [20–27], as a partner state of Zc(3900) discovered by BESIII [28] It is explained as a compound mixture of four different fourquark configurations [29], or a reflection structure of charmed-strange meson Ds∗2(2573) [30]. In Ref.[4], the authors studied the decay width of the DsD ∗/Ds∗Dby calculating the three-point correlation functions in QCD sum rules. Their result of the total width suffers from a large uncertainty, its central value is consistent with the experimental result of Zcs(3985)−.

INTERPOLATING CURRENTS
QCD SUM RULES
NUMERICAL ANALYSIS
CONCLUSION
Spectral densities for J4μ
Findings
Spectral densities for η4μ
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