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Novel coupled channel framework connecting the quark model and lattice QCD for the near-threshold $$D_s$$ states

Yang, Z.*; Wang, G.-J.*; Wu, J.-J.*; Oka, Makoto   ; Zhu, S.-L.*

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 $$1^+$$ $$cbar s$$ 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 $$cbar s$$ core and $$D^{(*)}K$$ component, while the $$D^*_{s1}(2536)$$ and $$D^*_{s2}(2573)$$ are almost dominated by bare $$cbar{s}$$. Furthermore, our model well reproduce the clear level crossing of the $$D^*_{s1}(2536)$$ with the scattering state at a finite volume.

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Category:Physics, Multidisciplinary

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