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

Abstract Motivated by the recently observed $$D_{s0}(2590)$$ 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 $$D^*K^*$$ 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 $$D_{s0}^*(2317)$$ D s 0 ∗ ( 2317 ) and $$D_{s1}(2460)$$ D s 1 ( 2460 ) could be interpreted as the $$D_{s}(1^3P_0)$$ D s ( 1 3 P 0 ) and $$D_{s}(1^3P_1)$$ D s ( 1 3 P 1 ) states with larger DK and $$D^*K$$ D ∗ K components, respectively, although the probabilities of the DK and $$D^*K$$ D ∗ K components for $$D_{s0}^*(2317)$$ D s 0 ∗ ( 2317 ) and $$D_{s1}(2460)$$ 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, $$D_{s1}(2700)$$ D s 1 ( 2700 ) , $$D_{s1}(2536)$$ D s 1 ( 2536 ) , $$D^*_{s2}(2573)$$ D s 2 ∗ ( 2573 ) , $$D_{s1}^*(2860)$$ D s 1 ∗ ( 2860 ) , $$D_{s3}^*(2860)$$ D s 3 ∗ ( 2860 ) , and $$D_{sJ}^*(3040)$$ D sJ ∗ ( 3040 ) could be well interpreted as the $$D_s(2^3S_1)$$ D s ( 2 3 S 1 ) , $$D_s(1^1P_1)$$ D s ( 1 1 P 1 ) , $$D_s(1^3P_2)$$ D s ( 1 3 P 2 ) , $$D_s(1^3D_1)$$ D s ( 1 3 D 1 ) , $$D_s(1^3D_3)$$ D s ( 1 3 D 3 ) , and $$D_s(2^1P_1)$$ D s ( 2 1 P 1 ) states, respectively. Although the $$D_{s0}(2590)$$ D s 0 ( 2590 ) mass is about 50 MeV less than our prediction for the $$D_{s0}(2S)$$ D s 0 ( 2 S ) state, its width is still in good agreement with the one of $$D_{s0}(2S)$$ D s 0 ( 2 S ) . Therefore, $$D_{s0}(2590)$$ D s 0 ( 2590 ) state needs to be further confirmed by the experimental measurements, and the more precise information about $$D_{s0}(2590)$$ D s 0 ( 2590 ) will shed light on its assignment of $$D_{s0}(2S)$$ 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.