A coupled-channel lattice study of the resonance-like structure Zc(3900) Supported in part by the Ministry of Science and Technology of China (MSTC) under 973 project "Systematic studies on light hadron spectroscopy" (2015CB856702). It is also supported in part by the DFG and the NSFC through funds provided to the Sino-Germen CRC 110 "Symmetries and the Emergence of Structure in QCD", DFG grant no. TRR 110 and NSFC (11621131001). This work is supported in part by the National Science Foundation of China (NSFC) (11775229, 11875169) and by the Youth Innovation Promotion Association of CAS (2015013). LL acknowledges the support from the Key Research Program of the Chinese Academy of Sciences (XDPB09)
Ting Chen (School of Physics, Peking University, Beijing 100871, China); Ying Chen (Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China School of Physics, University of Chinese Academy of Sciences, Beijing 100049, China); Ming Gong (Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China School of Physics, University of Chinese Academy of Sciences, Beijing 100049, China); Chuan Liu (School of Physics and Center for High Energy Physics, Peking University, Beijing 100871, China Collaborative Innovation Center of Quantum Matter, Beijing 100871, China); Liuming Liu (Institute of Modern Physics,Chinese Academy of Sciences, Lanzhou 730000, China University of Chinese Academy of Sciences, Beijing 100049, China); et al - Show all 10 authors
In this exploratory study, near-threshold scattering of D and
meson is investigated using lattice QCD with
twisted mass fermion configurations. The calculation is performed in the coupled-channel Lüscher finite-size formalism. The study focuses on the channel with
where the resonance-like structure
was discovered. We first identify the two most relevant channels and the lattice study is performed in the two-channel scattering model. Combined with the two-channel Ross-Shaw theory, scattering parameters are extracted from the energy levels by solving the generalized eigenvalue problem. Our results for the scattering length parameters suggest that for the particular lattice parameters that we studied, the best fit parameters do not correspond to the peak in the elastic scattering cross-section near the threshold. Furthermore, in the zero-range Ross-Shaw theory, the scenario of a narrow resonance close to the threshold is disfavored beyond the 3
level.
