New Insights into D\bar{D}^* Scattering and Resonance Discovery
A recent paper titled "X(3872) Relevant D\bar{D}^ Scattering in N_f=2 Lattice QCD" by Haozheng Li and colleagues presents findings on the S-wave D\bar{D}^ scattering at various pion masses. The study examines four different pion masses ranging from 250 MeV to 417 MeV using lattice QCD methods. Researchers extracted three energy levels at each pion mass and utilized the effective range expansion (ERE) to analyze the data.
The results indicate a shallow bound state below the D\bar{D}^ threshold and suggest the potential existence of a resonance near 4.0 GeV. A joint analysis of the energy levels through the K-matrix parameterization of the scattering amplitude corroborated the presence of a D\bar{D}^ bound state with properties consistent with those derived from the ERE analysis. Additionally, the joint analysis revealed a resonance pole with a mass slightly above 4.0 GeV and a width of approximately 40-60 MeV, aligning with the characteristics of the recently observed \chi_{c1}(4010) by LHCb.
The authors emphasize the need for more detailed lattice QCD calculations to further investigate the existence of this resonance. This research contributes to the understanding of meson interactions and could have implications for the study of exotic states in particle physics. The paper can be accessed here.