The mass spectrum and strong decay properties of the charmed-strange mesons within Godfrey–Isgur model considering the coupled-channel effects

Motivated by the recently observed D s 0 ( 2590 ) state by LHCb, we investigate the mass spectrum and the strong decay properties of the charmed-strange mesons within the Godfrey–Isgur model considering the coupled-channel effects. One finds that the D ∗ K ∗ contributions to the mass shifts are large for all the charmed-strange states, which is maybe due to the spin-enhancement effect. Our results support that D s 0 ∗ ( 2317 ) and D s 1 ( 2460 ) could be interpreted as the D s ( 1 3 P 0 ) and D s ( 1 3 P 1 ) states with larger DK and D ∗ K components, respectively, although the probabilities of the DK and D ∗ K components for D s 0 ∗ ( 2317 ) and D s 1 ( 2460 ) are smaller than other theoretical predictions, which may be due to our neglect of the direct interaction of the meson components. Meanwhile, D s 1 ( 2700 ) , D s 1 ( 2536 ) , D s 2 ∗ ( 2573 ) , D s 1 ∗ ( 2860 ) , D s 3 ∗ ( 2860 ) , and D sJ ∗ ( 3040 ) could be well interpreted as the D s ( 2 3 S 1 ) , D s ( 1 1 P 1 ) , D s ( 1 3 P 2 ) , D s ( 1 3 D 1 ) , D s ( 1 3 D 3 ) , and D s ( 2 1 P 1 ) states, respectively. Although the D s 0 ( 2590 ) mass is about 50 MeV less than our prediction for the D s 0 ( 2 S ) state, its width is still in good agreement with the one of D s 0 ( 2 S ) . Therefore, D s 0 ( 2590 ) state needs to be further confirmed by the experimental measurements, and the more precise information about D s 0 ( 2590 ) will shed light on its assignment of D s 0 ( 2 S ) . Furthermore, we predict the masses and the strong decay properties of the charmed-strange mesons with masses around 3 GeV, which would be helpful to experimentally search for these states.