In this exploratory study, near-threshold scattering of D and ■ meson is investigated using lattice QCD with N f = 2 + 1 + 1 twisted mass fermion configurations. The calculation is performed in the coupled-channel L&...In this exploratory study, near-threshold scattering of D and ■ meson is investigated using lattice QCD with N f = 2 + 1 + 1 twisted mass fermion configurations. The calculation is performed in the coupled-channel Lüscher finite-size formalism. The study focuses on the channel with IG(JPC) = 1+(1+-) where the resonance-like structure Zc（3900） 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 3σ level.展开更多
基金Supported in part by the Ministry of Science and Technology of China(MSTC)under 973 project"Systematic studies on light hadron spectroscopy"(2015CB856702)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)+2 种基金supported in part by the National Science Foundation of China(NSFC)(11775229,11875169)the Youth Innovation Promotion Association of CAS(2015013)the support from the Key Research Program of the Chinese Academy of Sciences(XDPB09)
文摘In this exploratory study, near-threshold scattering of D and ■ meson is investigated using lattice QCD with N f = 2 + 1 + 1 twisted mass fermion configurations. The calculation is performed in the coupled-channel Lüscher finite-size formalism. The study focuses on the channel with IG(JPC) = 1+(1+-) where the resonance-like structure Zc（3900） 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 3σ level.
