Inspired by the present experimental status of charmed-strange mesons, we perform a systematic study of the charmed-strange meson family in which we calculate the mass spectra of the charmed-strange meson family by taking a screening effect into account in the Godfrey-Isgur model and investigate the corresponding strong decays via the quark pair creation model. These phenomenological analyses of charmed-strange mesons not only shed light on the features of the observed charmed-strange states, but also provide important information on future experimental search for the missing higher radial and orbital excitations in the charmed-strange meson family, which will be a valuable task in LHCb, the forthcoming Belle H, and PANDA. SONG et al. PHYSICAL REVIEW D 91, 054031 (2015)TABLE I. Experimental information of the observed charmed-strange states. State Mass (MeV) [1] Width (MeV) [1] First observation Observed decay modes D, 1968.49 ±0.33 o ; 2112.3 ±0.5 <1.9 D*A 2317) 2317.8 ± 0.6 <3.8 BABAR [3] D+/r° [3] 0,1(2460) 2459.6 ± 0.6 <3.5 CLEO [4] D*+n° [4] 0,1 (2536) 2535.12 ±0.13 0.92 ± 0.05 ITEP, SERP [23] D*+r P3] 0 : 2(2573) 2571.9 ±0.8 16+| ± 3 [24] CLEO [24] D°K+ [24] DtA2632)" 2632.5 ± 1.7 ± 5 .0 [25] < 17 [25] SELEX [25] D°K+ [25] 0*1 (2700) 2688 ± 4 ± 3 [26] 112 ± 7 ± 3 6 [26] BABAR [26] DK [26] 2708 ± 9+1(( [27] 108 ± 23+|f [27] Belle [27] D°K+ [27] 2710 ± 2f)2 [28] 149 ± 7+52 t28] BABAR [28] D^K [28] 2709.2 ± 1.9 ± 4.5 [29] 115.8 ± 7.3 ± 12.1 [29] LHCb [29] DK [29] O[./(2860) 2856.6 ± 1.5 ± 5 .0 [26] 47 ± 7 ± 10 [26] BABAR [26] DK [26] 2862 ± 2±f [28] 48 ± 3 ± 6 [28] BABAR [28] D^K [28] 2866.1 ± 1.0 ±6.3 [29] 69.9 ± 3.2 ± 6.6 [29] LHCb [29] DK [29] 0 ; 3(2860) 2860.5 ± 2.6 ± 2.5 ± 6.0 [30,31] 53 ± 7 ± 4 ± 6 [30,31] LHCb [30,31] D°K~ [30,31] OJi (2860) 2859 ± 12 ± 6 ± 23 [30,31] 159 ± 2 3 ± 2 7 ± 7 2 [30,31] LHCb [30,31] D°K-[30,31] 0.5/(3040) 3044 ± 8l5 30 [28] 239 ± 3 5^2 6 [28]

Having abundant experimental information of charmed mesons together with the present research status, we systematically study higher radial and orbital excitations in the charmed meson family by analyzing the mass spectrum and by calculating their OZI-allowed two-body decay behaviors. This phenomenological analysis reveals underlying properties of the newly observed charmed states D

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