Low-energy Scattering of $(D^{\ast }{\bar{D}}^{\ast }{)}^{\pm }$ System and the Resonance-like Structure $Z_c(4025)$

Abstract

In this paper, low-energy scattering of the $(D^{\ast }{\bar{D}}^{\ast }{)}^{\pm }$ meson system is studied within Lüscher's finite-size formalism using $N_f=2$ twisted mass gauge field configurations. With three different pion mass values, the $s$-wave threshold scattering parameters, namely the scattering length $a_0$ and the effective range $r_0$, are extracted in $J^P=1^{+}$ channel. Our results indicate that, in this particular channel, the interaction between the two vector charmed mesons is weakly repulsive in nature hence do not support the possibility of a shallow bound state for the two mesons, at least for the pion mass values being studied. This study provides some useful information on the nature of the newly discovered resonance-like structure $Z_c(4025)$ observed in various experiments.

11 pages, 6 figures. arXiv admin note: substantial text overlap with arXiv:1403.1318

References in corpus (9)

• Observation of a charged charmoniumlike structure in $e^{+}{e}^{-}\to (D^{\ast }{\bar{D}}^{\ast }{)}^{\pm }{\pi }^{\mp }$ at $\sqrt{s}=4.26$GeV
• Study of the $Z_c^{+}$ channel using lattice QCD
• Low-energy Scattering of $(D{\bar{D}}^{\ast }{)}^{\pm }$ System And the Resonance-like Structure $Z_c(3900)$
• Interpretation of $Z_c(4025)$ as the Hidden Charm Tetraquark States via QCD Sum Rules
• $Z_c(4025)$ as the hadronic molecule with hidden charm
• Lüscher's finite size method with twisted boundary conditions: an application to $J/\psi$-$\varphi$ system to search for narrow resonance
• $D^{\ast }{\bar{D}}^{\ast }$ molecule interpretation of $Z_c(4025)$
• Could $Z_c(4025)$ be a $J^P=1^{+}$ $D^{\ast }\overline{D^{\ast }}$ molecular state?
• Partial twisting for scalar mesons

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• Systematic studies of charmonium-, bottomonium-, and $B_c$-like tetraquark states
• The $Z_c$ structures in a coupled-channels model
• Charmonium and Charmoniumlike States at the BESIII Experiment
• $P$-wave coupled channel effects in electron-positron annihilation
• A coupled-channel lattice study on the resonance-like structure $Z_c(3900)$
• A Lattice Study of $({\bar{D}}_1{D}^{\ast }{)}^{\pm }$ Near-threshold Scattering
• Towards the understanding of $Z_c(3900)$ from lattice QCD