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 $D_{s0}(2590)$ state by LHCb, we investigate the mass spectrum and the strong decay properties of the charmed-strange mesons within Godfrey-Isgur model considering the coupled-channel effects. Our results support that $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ can be interpreted as the $D_s(1^3{P}_0)$ and $D_s(1^3{P}_1)$ states with larger $DK$ and $D^{\ast }K$ components, respectively, and $D_{s1}(2700)$, $D_{s1}(2536)$, $D_{s2}^{\ast }(2573)$, $D_{s1}^{\ast }(2860)$, $D_{s3}^{\ast }(2860)$, and $D_{sJ}^{\ast }(3040)$ can 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, $D_{s0}(2590)$ mass is about 50 MeV less than our prediction for the $D_s(2^1{S}_0)$ state, its width is still in good agreement with the one of $D_s(2^1{S}_0)$. Therefore, $D_{s0}(2590)$ state needs to be further confirmed by the experimental measurements, and the more precise information about $D_{s0}(2590)$ will shed light on its assignment of $D_s(2^1{S}_0)$. 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.

Comments: 8 pages