Abstract
In this exploratory lattice study, low-energy scattering of the meson system is analyzed using lattice QCD with 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 and the effective range , for the -wave scattering in 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 by various experimental groups.
- Received 6 March 2014
DOI:https://doi.org/10.1103/PhysRevD.89.094506
© 2014 American Physical Society