Abstract

The molecular assignments to the three ${P}_{c}$ states and the similar production mechanism between the ${\mathrm{\ensuremath{\Lambda}}}_{b}\ensuremath{\rightarrow}{P}_{c}+K$ and $B\ensuremath{\rightarrow}XYZ+K$ convince us the $B$ decaying to a charmonium state plus light mesons could be the appropriate production process to search for the charmoniumlike molecular tetraquarks. In this work, we systematically study the interactions between a charmed (charmed-strange) meson and an anticharmed (anticharm-strange) meson, which include the ${D}^{(*)}{\overline{D}}^{(*)}$, ${\overline{D}}^{(*)}{\overline{D}}_{1}$, ${D}^{(*)}{\overline{D}}_{2}^{*}$, ${D}_{s}^{(*)}{\overline{D}}_{s}^{(*)}$, ${D}_{s}^{(*)}{\overline{D}}_{s0}^{*}$, ${D}_{s}^{(*)}{\overline{D}}_{s1}^{\ensuremath{'}}$, ${D}_{s}^{(*)}{\overline{D}}_{s1}$, ${D}_{s}^{(*)}{\overline{D}}_{s2}^{*}$ systems. After adopting the one-boson-exchange effective potentials, our numerical results indicate that, on one hand, there can exist a serial of isoscalar charmoniumlike $\mathcal{D}\overline{\mathcal{D}}$ and ${\mathcal{D}}_{s}{\overline{\mathcal{D}}}_{s}$ molecular states, on the other hand, we can fully exclude the charged charmoniumlike states as the isovector charmoniumlike molecules. Meanwhile, we discuss the two-body hidden-charm decay channels for the obtained $\mathcal{D}\overline{\mathcal{D}}$ and ${\mathcal{D}}_{s}{\overline{\mathcal{D}}}_{s}$ molecules, especially the ${D}^{*}{\overline{D}}^{*}$ molecular tetraquarks. By analyzing the experimental data collected from the $B\ensuremath{\rightarrow}XYZ+K$ and the mass spectrum and two-body hidden-charm decay channels for the obtained $\mathcal{D}\overline{\mathcal{D}}$ and ${\mathcal{D}}_{s}{\overline{\mathcal{D}}}_{s}$ molecules, we find several possible hints of the existence of the charmoniumlike molecular tetraquarks, i.e., a peculiar characteristic mass spectrum of the isoscalar ${D}^{*}{\overline{D}}^{*}$ molecular systems can be applied to identify the charmoniumlike molecule. We look forward to the future experiments like the LHCb, Belle II, and BESIII Collaborations can test our results with more precise experimental data.

Highlights

  • In 2015, the LHCb Collaboration analyzed the Λb → J=ψpK decay and reported two Pc structures (Pcð4380Þ and Pcð4450Þ) existing in the J=ψp invariant mass spectrum [1]

  • The molecular assignments to the three Pc states and the similar production mechanism between the Λb → Pc þ K and B → XYZ þ K convince us the B decaying to a charmonium state plus light mesons could be the appropriate production process to search for the charmoniumlike molecular tetraquarks

  • By analyzing the experimental data collected from the B → XYZ þ K and the mass spectrum and two-body hidden-charm decay channels for the obtained DDand DsDs molecules, we find several possible hints of the existence of the charmoniumlike molecular tetraquarks, i.e., a peculiar characteristic mass spectrum of the isoscalar DÃD Ã molecular systems can be applied to identify the charmoniumlike molecule

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Summary

INTRODUCTION

In 2015, the LHCb Collaboration analyzed the Λb → J=ψpK decay and reported two Pc structures (Pcð4380Þ and Pcð4450Þ) existing in the J=ψp invariant mass spectrum [1]. We should systematically reexamine the correlation of the hidden-charm molecular states and the charmoniumlike structures existing in the B → XYZ þ K processes [18,19,20,21,22,23,24], where the constraint from JPC quantum numbers and so-called resonance parameters of depicting these observed charmoniumlike XYZ structures should be more cautious in the interpretation of these resonances as the molecular states Along this line, we systematically restudy the S − wave interactions between a charmed (charmed-strange) meson and an anticharmed (anticharmed-strange) meson in the framework of the OBE model in this work [18,21].

A COMPARISON OF THE EXPERIMENTAL DATA AND THE CORRESPONDING THRESHOLDS
Isoscalar XYZ data without hidden-strange quantum number
Isoscalar XYZ data with hidden-strange quantum number
Isovector XYZ data without hidden-strange quantum number
MASS SPECTRUM OF THE CHARMONIUMLIKE MOLECULAR
OBE effective potentials
Numerical results and discussions
Isovector charmoniumlike molecular tetraquark systems
SUMMARY
Hidden-charm tetraquark systems with hidden-strange quantum number
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