Mass spectra and strong decays of charmed and charmed-strange mesons

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 $D_{s0}^{\ast }(2317)$ 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 $D(2^1{S}_0)$; $D_3^{\ast }(2750)$ and $D_2(2740)$ can be classified as the second orbital excitations $D(1^3{D}_3)$ and $D(1D_2^{\prime })$, respectively; $D_J^{\ast }(3000)$ may be a candidate of $D(1^3{F}_4)$ or $D(2^3{P}_2)$; while $D_J(3000)$ may favor the high mass mixed state $D(2P_1^{\prime })$; however, there still exist puzzles for understanding the natures of $D_1^{\ast }(2600)$ and $D_1^{\ast }(2760)$, whose decay properties cannot be well explained with either pure $D(2^3{S}_1)$ and $D(1^3{D}_1)$ states or their mixing. In the $D_s$-meson family, $D_{s3}^{\ast }(2860)$ favors the $D_s(1^3{D}_3)$ assignment; $D_{s1}^{\ast }(2700)$ and $D_{s1}^{\ast }(2860)$ may favor the mixed states $|(SD{)}_1{⟩}_L$ and $|(SD{)}_1{⟩}_H$ via the $2^3{S}_1$-$1^3{D}_1$ mixing, respectively; $D_{sJ}(3040)$ may favor $D_s(2P_1)$ or $D_s(2P_1^{\prime })$, or corresponds to a structure contributed by both $D_s(2P_1)$ and $D_s(2P_1^{\prime })$.

Comments: 35 pages, 15 figures, 18 tables, coupled-channel effects on the mass shifts of the 1P states and Ds(2590) were considered, to be published in PRD