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arXiv · 1403.1318

Low-energy Scattering of $(D\bar{D}^{*})^\pm$ System And the Resonance-like Structure $Z_c(3900)$

Ying Chen·Ming Gong·Yu-Hong Lei·Ning Li·Jian Liang·Chuan Liu·Hang Liu·Jin-Long Liu·Liuming Liu·Yong-Fu Liu·Yu-Bin Liu·Zhaofeng Liu·Jian-Ping Ma·Zhan-Lin Wang·Yi-Bo Yang·Jian-Bo Zhang
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Abstract

In this exploratory lattice study, low-energy scattering of the $(D\bar{D}^{*})^\pm$ meson system is analyzed using lattice QCD with $N_f=2$ twisted mass fermion configurations with three pion mass values. The calculation is performed within single-channel Lüscher's finite-size formalism. The threshold scattering parameters, namely the scattering length $a_0$ and the effective range $r_0$, for the $s$-wave scattering in $J^P=1^+$ channel are extracted. For the cases in our study, the interaction between the two charmed mesons is weakly repulsive. Our lattice results therefore do not support the possibility of a shallow bound state for the two mesons for the pion mass values we studied. This calculation provides some useful information on the nature of the newly discovered resonance-like structure $Z_c(3900)$ by various experimental groups.

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Ying Chen, Ming Gong, Yu-Hong Lei, Ning Li, Jian Liang, Chuan Liu, Hang Liu, Jin-Long Liu, Liuming Liu, Yong-Fu Liu, Yu-Bin Liu, Zhaofeng Liu, Jian-Ping Ma, Zhan-Lin Wang, Yi-Bo Yang, Jian-Bo Zhang. 2014-04-30. Low-energy Scattering of $(D\bar{D}^{*})^\pm$ System And the Resonance-like Structure $Z_c(3900)$. https://doi.org/10.1103/physrevd.89.094506

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