A combined analysis of the $Z_c(3900)$ and the $Z_{cs}(3985)$ exotic states

Abstract

We have performed a combined analysis of the BESIII data for both the $Z_c(3900)$ and $Z_{cs}(3985)$ structures, assuming that the latter is an SU(3) flavor partner of the former one. We have improved on the previous analysis of Albaladejo $et$ $al.$ [Phys. Lett. B 755, 337 (2016)] by computing the amplitude for the $D_1\bar{D}{D}^{\ast }$ triangle diagram considering both $D$ and $S$-wave $D_1{D}^{\ast }\pi$ couplings. We have also investigated effects from SU(3) light-flavor violations, which are found to be moderate and of the order of 20%. The successful reproduction of the BESIII spectra, in both the hidden-charm and hidden-charm strange sectors, strongly supports that the $Z_{cs}(3985)$ and $Z_c(3900)$ are SU(3) flavor partners placed in the same octet multiplet. The best results are obtained when an energy-dependent term in the diagonal $D^{(\ast )}{\bar{D}}_{(s)}^{(\ast )}$ interaction is included, leading to resonances (poles above the thresholds) to describe these exotic states. We have also made predictions for the isovector $Z_c^{\ast }$ and isodoublet $Z_{cs}^{\ast }$, $D^{\ast }{\bar{D}}^{\ast }$ and $D^{\ast }{\bar{D}}_s^{\ast }$ molecules, with $J^{PC}=1^{+-}$ and $J^P=1^{+}$, respectively. These states would be heavy-quark spin symmetry partners of the $Z_c$ and $Z_{cs}$. Besides the determination of the masses and widths of the $Z_c(3900)$ and $Z_{cs}(3985)$, we also predict those of the $Z_c^{\ast }$ and $Z_{cs}^{\ast }$ resonances.

27 pages, 9 figures, and 4 tables, version published in physical review D

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• $Z_{cs}$ states from the $D_s^{\ast }{\bar{D}}^{\ast }$ and $J/\psi K^{\ast }$ coupled channels: Signal in $B^{+}\to J/\psi \varphi K^{+}$ decay

Cited by in corpus (20)

• An updated review of the new hadron states
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Establishing the heavy quark spin and light flavor molecular multiplets of the $X(3872)$, $Z_c(3900)$ and $X(3960)$
• Pole determination of $P_{\psi s}^{\Lambda }(4338)$ and possible $P_{\psi s}^{\Lambda }(4255)$ in $B^{-}\to J/\psi \Lambda \bar{p}$
• Understanding the $0^{++}$ and $2^{++}$ charmonium(-like) states near 3.9 GeV
• Predicting isovector charmonium-like states from X(3872) properties
• Precise determination of the pole position of the exotic $Z_c(3900)$
• Global coupled-channel analysis of $e^{+}{e}^{-}\to c\bar{c}$ processes in $\sqrt{s}=3.75-4.7$ GeV
• Photo- and electro-production of narrow exotic states: from light quarks to charm and up to bottom
• $Z_{cs}(3985)$ in next-to-leading-order chiral effective field theory -- the first truncation uncertainty analysis
• $X$ and $Z_{cs}$ in $B^{+}\to J/\psi \varphi K^{+}$ as $s$-wave threshold cusps and alternative spin-parity assignments to $X(4274)$ and $X(4500)$
• Role of the short-range dynamics in the formation of $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ hadronic molecules
• Search for hidden-charm tetraquark with strangeness in $e^{+}{e}^{-}\to K^{+}{D}_s^{\ast -}{D}^{\ast 0}+c.c.$
• Charmoniumlike Channels $1^{+}$ with Isospin $1$ from Lattice and Effective Field Theory
• $Z_c$ and $Z_{cs}$ systems with operator mixing at NLO in QCD sum rules
• Pole trajectories from $S$- and $P$-wave $D{\bar{D}}^{\ast }$ interactions
• $Z_c(3900)$ in a hadronic molecule and a triangle singularity approach at finite temperature
• The $Z_{cs}$ states and the mixture of hadronic molecule and diquark-anti-diquark components within effective field theory
• Low-energy scattering of the $J/\psi \pi$ and $J/\psi K$ system
• Exotic hadrons associated with $b$-quark