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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Motivated by the recent observation of the orbital excitation $B(5970)$ by CDF collaboration, we have performed a systematical study of the mass spectrum and strong decay patterns of the higher $B$ and $B_s$ mesons. Hopefully the present investigation may provide valuable clues to further experimental exploration of these intriguing excited heavy mesons.Comment: 13 pages, 11 figures, 10 tables. More discussions and references added. Accepted by Phys. Rev.

In the present work, we assign the newly observed P c (4312) as a I(J P ) = 1 2 ( 1 2 ) − molecular state composed of Σ cD , while P c (4440) and P c (4457) as Σ cD * molecular states with I(J P ) = 1 2 ( 1 2 ) − and 1 2 ( 3 2 ) − , respectively. In this molecular scenario, we investigate the P c → J/ψp process of these three states and further predict the ratios of the B(P c → J/ψp) and those of B(Λ b → P c K) between these three states, which could serve as a crucial test of the present molecular scenario.

Based on the updated data of charmoniumlike state Y(4220) reported in the hidden-charm channels of the e + e − annihilation, we propose a 4S -3D mixing scheme to categorize Y(4220) into the J/ψ family. We find that the present experimental data can support this charmonium assignment to Y(4220). Thus, Y(4220) plays a role of a scaling point in constructing higher charmonia above 4 GeV. To further test this scenario, we provide more abundant information on the decay properties of Y(4220), and predict its charmonium partner ψ(4380), whose evidence is found by analyzing the e + e − → ψ(3686)π + π − data from BESIII. If Y(4220) is indeed a charmonium, we must face how to settle the established charmonium ψ(4415) in the J/ψ family. In this work, we may introduce a 5S -4D mixing scheme, and obtain the information of the resonance parameters and partial open-charm decay widths of ψ(4415), which do not contradict the present experimental data. Additionally, we predict a charmonium partner ψ(4500) of ψ(4415), which can be accessible at future experiments, especially, BESIII and BelleII. The studies presented in this work provide new insights to establish the higher charmonium spectrum.PACS numbers: I. INTRODUCTIONIn 1974, J/ψ particle was discovered by the E598 [1] Collaboration in the p + Be → e + + e − + x reaction and the SLAC-SP-017 Collaboration [2] in the e + e − annihilation at the same time. The observation of J/ψ confirmed the existence of a charm quark predicted by the Glashow-Iliopoulos-Maiani mechanism [3]. Since then, a series of charmoniumlike states, ψ(3686) [4], ψ(3770) [5], ψ(4040) [6], ψ(4160) [7], and ψ(4415) [8], were reported, which construct a main body of the observed charmonium spectrum as shown in Particle Data Group (PDG) [9]. In Fig. 1, we collect the corresponding information of the observed charmonia with the year for their first discoveries. It is obvious that the year 1978 is an important time point since most of charmonia listed in the latest PDG were announced.Under this experimental background, the Cornell model was proposed by Eichten et al. [18,19], where the Cornell potential V(r) = −k/r + r/a 2 composed of Coulomb-type and linear potentials, which depicts the interaction between charm and anticharm quarks, was postulated and applied to study the observed charmonia [20]. As a successful phenomenological model, the Cornell model can describe the observed charmonia at that time. Inspired by the Cornell model, different potential models were developed by various groups [21][22][23][24][25][26][27][28][29][30][31][32][33][34]. Among these, a famous one is the Godfrey-Isgur (GI) model [34], which has semi-relativistic expression of the kinetic and potential energy terms. The GI model was employed to quan- * Electronic address:

In this work, we predict two charged charmonium-like enhancement structures close to the D * D and D * D * thresholds, where the Initial Single Pion Emission mechanism is introduced in the hidden-charm dipion decays of higher charmonia ψ(4040), ψ(4160), ψ(4415) and charmonium-like state Y(4260). We suggest BESIII to search for these structures in the J/ψπ + , ψ(2S )π + and h b (1P)π + invariant mass spectra of the ψ(4040) decays into J/ψπ + π − , ψ(2S )π + π − and h b (1P)π + π − . In addition, the experimental search for these enhancement structures in the J/ψπ + , ψ(2S )π + and h c (1P)π + invariant mass spectra of the ψ(4260) hidden-charm dipion decays will be accessible at Belle and BaBar.

We propose the initial single chiral particle emission mechanism, with which the hidden-charm dikaon decays of higher charmonia and charmoniumlike states are studied. Calculating the distributions of differential decay width, we obtain the line shape of the J/ψK(+) invariant mass spectrum of ψ(i)→J/ψK(+)K(-), where ψ(i)=ψ(4415), Y(4660), and ψ(4790). Our numerical results show that there exist enhancement structures with both hidden-charm and open-strange channels, which are near the D̄(s)(*)/D(*)D̄(s) and D(*)D̄(s)(*)/D̄(*)D(s)(*) thresholds. These charged charmoniumlike structures predicted in this Letter can be accessible in future experiments, especially BESIII, BelleII, and SuperB.