$Z_c(3900)$: Confronting theory and lattice simulations

Abstract

We consider a recent $T$-matrix analysis by Albaladejo {\it et al.}, [Phys.\ Lett.\ B {\bf 755}, 337 (2016)] which accounts for the $J/\psi \pi$ and $D^{\ast }\bar{D}$ coupled--channels dynamics, and that successfully describes the experimental information concerning the recently discovered $Z_c(3900{)}^{\pm }$. Within such scheme, the data can be similarly well described in two different scenarios, where the $Z_c(3900)$ is either a resonance or a virtual state. To shed light into the nature of this state, we apply this formalism in a finite box with the aim of comparing with recent Lattice QCD (LQCD) simulations. We see that the energy levels obtained for both scenarios agree well with those obtained in the single-volume LQCD simulation reported in Prelovsek {\it et al.} [Phys.\ Rev.\ D {\bf 91}, 014504 (2015)], making thus difficult to disentangle between both possibilities. We also study the volume dependence of the energy levels obtained with our formalism, and suggest that LQCD simulations performed at several volumes could help in discerning the actual nature of the intriguing $Z_c(3900)$ state.

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Cited by in corpus (25)

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• The $XYZ$ states: experimental and theoretical status and perspectives
• Pentaquark and Tetraquark states
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• $T_{cc}^{+}$ coupled channel analysis and predictions
• Towards a theory of hadron resonances
• Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
• Amplitude analysis and the nature of the Zc(3900)
• Chiral study of the $a_0(980)$ resonance and $\pi \eta$ scattering phase shifts in light of a recent lattice simulation
• Systematic studies of charmonium-, bottomonium-, and $B_c$-like tetraquark states
• Novel approaches in Hadron Spectroscopy
• Compositeness of S-wave weakly-bound states from next-to-leading order Weinberg's relations
• The Tetraquark Candidate Zc(3900) from Dynamical Lattice QCD Simulations
• Establishing the heavy quark spin and light flavor molecular multiplets of the $X(3872)$, $Z_c(3900)$ and $X(3960)$
• A combined analysis of the $Z_c(3900)$ and the $Z_{cs}(3985)$ exotic states
• Investigation of the possible $D{\bar{D}}^{\ast }$/$B{\bar{B}}^{\ast }$ and $D{D}^{\ast }$/$\bar{B}{\bar{B}}^{\ast }$ molecule states
• Understanding the $0^{++}$ and $2^{++}$ charmonium(-like) states near 3.9 GeV
• Lowest lying even-parity ${\bar{B}}_s$ mesons: heavy quark spin-flavor symmetry, chiral dynamics, and constituent quark model bare masses
• Precise determination of the pole position of the exotic $Z_c(3900)$
• On the two-body decay processes of the predicted three-body $K^{\ast }(4307)$ resonance
• Compositeness of hadron resonances in finite volume
• $X$ and $Z_{cs}$ in $B^{+}\to J/\psi \varphi K^{+}$ as $s$-wave threshold cusps and alternative spin-parity assignments to $X(4274)$ and $X(4500)$
• $Z_c$ and $Z_{cs}$ systems with operator mixing at NLO in QCD sum rules
• Photon-induced production of the exotic charged charmonium-like state $Z_c(3900)$ off nuclear targets and its internal structure
• $Z_c(3900)$ in a hadronic molecule and a triangle singularity approach at finite temperature