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arXiv · 1503.02371

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

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

In this paper, low-energy scattering of the $(D^{*}\bar{D}^{*})^\pm$ meson system is studied within L\"uscher'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.

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Ying Chen, Ming Gong, Yu-Hong Lei, Ning Li, Jian Liang, Chuan Liu, Jin-Long Liu, Yong-Fu Liu, Yu-Bin Liu, Zhaofeng Liu, Jian-Ping Ma, Zhan-Lin Wang, Jian-Bo Zhang. 2015-03-09. Low-energy Scattering of $(D^{*}\bar{D}^{*})^\pm$ System and the Resonance-like Structure $Z_c(4025)$. https://doi.org/10.1103/physrevd.92.054507

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