Heavy-Strange mesons from Lattice QCD and HEFT

In this study, we investigate the four $P$-wave $D_s$ states mesons within a Hamiltonian effective field theory framework (HEFT), where both the $c\bar s$ and $D^{(*)}K$ components, as well as their interactions, are taken into account. The coupling between the $c\bar s$ and $D^{(*)}K$ is modeled via the quark-antiquark pair creation mechanism, while the interaction within $D^{(*)}K$ is described using the one-boson exchange model. The resulting coupled-channel system is discretized in a finite volume, and the model parameters are constrained by fitting to lattice QCD energy levels. Our analysis shows that the lower states, $D_{s 0}^*(2317)$ and $D_{s 1}^*(2460)$ are strong mixtures of $c\bar s$ and $D^{(*)}K$ components, while the higher states,$D_{s 1}^*(2536)$ and $D_{s 2}^*(2573)$ are predominantly conventional $P$-wave $c\bar s$ meson.