Novel Coupled Channel Framework Connecting the Quark Model and Lattice QCD for the Near-threshold Ds States

A novel framework is proposed to extract near-threshold resonant states from finite-volume energy levels of lattice QCD and is applied to elucidate structures of the positive parity D-s. The quark model, the quark-pair-creation mechanism and D-(*K-) interaction are incorporated into the Hamiltonian effective field theory. The bare 1(+) c (s) over bar states are almost purely given by the states with heavy-quark spin bases. The physical D-s0* (2317) and D-s1* (2460) are the mixtures of bare c (s) over bar core and D-(*K-) component, while the D-s1*,(2536) and D-s2*(2573) are almost dominated by bare CS% Furthermore, our model reproduces the clear level crossing of the D-s1* (2536) with the scattering state at a finite volume.

Automated summary

A novel framework is proposed to extract near-threshold resonant states from lattice QCD energy levels and is applied to study the structures of positive parity D-s mesons. The quark model, quark-pair-creation mechanism, and D-(*K-) interaction are incorporated into the effective field theory to analyze the composition of the D-s mesons. The results show that the physical D-s0* (2317) and D-s1* (2460) are mixtures of bare c (s) over bar core and D-(*K-) component, while the D-s1* (2536) and D-s2* (2573) are dominated by the bare CS%.