Study on decays of $Z_c(4020)$ and $Z_c(3900)$ into $h_c+\pi$

Abstract

At the invariant mass spectrum of $h_c{\pi }^{\pm }$ a new resonance $Z_c(4020)$ has been observed, however the previously confirmed $Z_c(3900)$ does not show up at this channel. In this paper we assume that $Z_c(3900)$ and $Z_c(4020)$ are molecular states of $D{\bar{D}}^{\ast }(D^{\ast }\bar{D})$ and $D^{\ast }{\bar{D}}^{\ast }$ respectively, then we calculate the transition rates of $Z_c(3900)\to h_c+\pi$ and $Z_c(4020)\to h_c+\pi$ in the light front model. Our results show that the partial width of $Z_c(3900)\to h_c+\pi$ is only three times smaller than that of $Z_c(4020)\to h_c+\pi$. $Z_c(4020)$ seems to be a molecular state, so if $Z_c(3900)$ is also a molecular state it should be observed in the portal $e^{+}{e}^{-}\to h_c{\pi }^{\pm }$ as long as the database is sufficiently large, by contrary if the future more precise measurements still cannot find $Z_c(3900)$ at $h_c{\pi }^{\pm }$ channel, the molecular assignment to $Z_c(3900)$ should be ruled out.

15 pages, 4 figures, will be published in EPJC

References in corpus (15)

• Big-Bang Nucleosynthesis
• Decay constants and radiative decays of heavy mesons in light-front quark model
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Cited by in corpus (5)

• Pentaquark and Tetraquark states
• QCD Sum Rules Approach to the $X,Y$ and $Z$ States
• Treating $Z_c(3900)$ and $Z(4430)$ as the ground-state and first radially excited tetraquarks
• Study of charmonium-like and fully-charm tetraquark spectroscopy
• hidden charm decays of $X(4014)$ in a $D^{\ast }{\bar{D}}^{\ast }$ molecule scenario