Deciphering the charged heavy quarkoniumlike states in chiral effective field theory

Abstract

We generalize the framework of chiral effective field theory to study the interactions of the isovector $D^{\ast }{\bar{D}}^{(\ast )}$ and $B^{\ast }{\bar{B}}^{(\ast )}$ systems up to the next-to-leading order, in which the long-, mid-, and short-range force contributions as well as the $S$-$D$ wave mixing are incorporated. Based on the Lippmann-Schwinger equation, we fit the invariant mass distributions of the elastic channels measured by the BESIII and Belle Collaborations. Our results indicate that the four charged charmoniumlike and bottomoniumlike states $Z_c(3900)$, $Z_c(4020)$ and $Z_b(10610)$, $Z_b(10650)$ can be well identified as the $D{\bar{D}}^{\ast },D^{\ast }{\bar{D}}^{\ast }$ and $B{\bar{B}}^{\ast },B^{\ast }{\bar{B}}^{\ast }$ molecular resonances. The bound state explanations are vetoed in our framework. Our study favors the $Z_c$ and $Z_b$ states are the twin partners under the heavy quark symmetry.

6 pages, 3 figures and 1 table

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Cited by in corpus (14)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Tetra- and penta-quark structures in the constituent quark model
• Magnetic moments of the hidden-charm strange pentaquark states
• Decoding the nature of $Z_{cs}(3985)$ and establishing the spectrum of charged heavy quarkoniumlike states in chiral effective field theory
• How to understand the $X(2900)$?
• Spectrum of the doubly charmed molecular pentaquarks in chiral effective field theory
• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• Spectrum of the molecular tetraquarks: Unraveling the $T_{cs0}(2900)$ and $T_{c\bar{s}0}^a(2900)$
• $Z_{cs}(3985)$ in next-to-leading-order chiral effective field theory -- the first truncation uncertainty analysis
• Two-pion exchange for coupled-channel scattering of two heavy mesons
• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
• Investigation of the $X(4020)$ peak in the $D^{\ast }{\bar{D}}^{\ast }$ and $\pi h_c$ channels
• Octet baryon and heavy meson interactions in chiral effective field theory
• Strong decays of the isovector-scalar $D^{\ast }{\bar{D}}^{\ast }$ hadronic molecule