Abstract
A semi-relativistic potential model is adopted to calculate the mass spectra of charmed and charmed-strange meson states up to the $2D$ excitations.The strong decay properties are further analyzed with a chiral quark model by using the numerical wave functions obtained from the potential model. By using the strong decay amplitudes extracted from the chiral quark model, we also systematically study the coupled-channel effects on the bare masses of the $1P$-wave states, since the masses of $D^*_{s0}(2317)$ and $D_{s1}(2460)$ cannot be explained with bare $1P$-wave states within the potential model. Based on our good descriptions of the mass and decay properties for the low-lying well-established states, we give a quark model classification for the high mass resonances observed in recent years. In the $D$-meson family, $D_0(2550)$ can be classified as the radially excited state $D(2^1S_0)$; $D_3^*(2750)$ and $D_2(2740)$ can be classified as the second orbital excitations $D(1^3D_3)$ and $D(1D'_2)$, respectively; $D_J^*(3000)$ may be a candidate of $D(1^3F_4)$ or $D(2^3P_2)$; while $D_J(3000)$ may favor the high mass mixed state $D(2P'_1)$; however, there still exist puzzles for understanding the natures of $D_1^*(2600)$ and $D_1^*(2760)$, whose decay properties cannot be well explained with either pure $D(2^3S_1)$ and $D(1^3D_1)$ states or their mixing. In the $D_s$-meson family, $D_{s3}^*(2860)$ favors the $D_s(1^3D_3)$ assignment; $D_{s1}^*(2700)$ and $D_{s1}^*(2860)$ may favor the mixed states $|(SD)_1\rangle_L$ and $|(SD)_1\rangle_H$ via the $2^3S_1$-$1^3D_1$ mixing, respectively; $D_{sJ}(3040)$ may favor $D_s(2P_1)$ or $D_s(2P_1')$, or corresponds to a structure contributed by both $D_s(2P_1)$ and $D_s(2P_1')$.
Highlights
The strong decay properties are further analyzed with a chiral quark model by using the numerical wave functions obtained from the potential model
Based on our good descriptions of the mass and decay properties for the low-lying well-established states, we give a quark model classification for the high-mass resonances observed in recent years
In the Ds-meson family, DÃs3ð2860Þ favors the Dsð13D3Þ assignment, DÃs1ð2700Þ and DÃs1ð2860Þ may favor the mixed states jðSDÞ1iL and jðSDÞ1iH via the 23S1-13D1 mixing, respectively, DsJð3040Þ may favor Dsð2P1Þ or Dsð2P01Þ, or correspond to a structure contributed by both Dsð2P1Þ and Dsð2P01Þ, the newly observed resonance Ds0ð2590Þþ as an assignment of Dsð21S0Þ, by including coupled-channel effects the mass of Dsð21S0Þ is close to the observed value; the width cannot be well understood in the present study
Summary
In the past 15 years, significant progress has been achieved in the observations of the D-meson and Ds-meson spectra. The LHCb Collaboration observed two new higher D-meson excitations, DÃJð3000Þ and DJð3000Þ, with natural and unnatural parities, respectively [2]. To understand the nature of the charmed and charmed-strange mesons, especially the newly observed states, and to establish the charmed and charmed-strange meson spectra, in the recent years a lot of studies have been carried out within various phenomenological models from several aspects, such as the mass spectrum [17–41], strong decays [29–72], etc., some previous works can be found in Refs. The new resonance Ds0ð2590Þþ with JP 1⁄4 0− is suggested to be a strong candidate of the radial excitation Dsð21S0Þ by the Collaboration [15]; its measured mass and width are inconsistent with the recent theoretical predictions in Ref. Stimulated by the recent progress in experiments, we have systematically analyzed the strong decay properties of the excited D-meson and Ds-meson states within a chiral-quark model in Refs.
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