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Abstract
We study the weak decays of bar{B}_{(s)} and B_c into D-wave heavy–light mesons, including J^P=2^- (D_{(s)2},D'_{(s)2},B_{(s)2}, B'_{(s)2}) and 3^- (D^*_{(s)3}, B^*_{(s)3}) states. The weak decay hadronic matrix elements are obtained based on the instantaneous Bethe–Salpeter method. The branching ratios for the bar{B} decays are mathcal {B}[bar{B}rightarrow D_{2}e{bar{nu }}_e] = 1.1^{-0.3}_{+0.3} times 10^{-3}, mathcal {B}[bar{B}rightarrow D'_2e{bar{nu }}_e]=4.1^{-0.8}_{+0.9} times 10^{-4}, and mathcal {B}[bar{B}rightarrow D^*_3e{bar{nu }}_e]=1.0^{-0.2}_{+0.2} times 10^{-3}, respectively. For the semi-electronic decays of bar{B}_s to D_{s2}, D'_{s2}, and D^*_{s3}, the corresponding branching ratios are 1.7^{-0.5}_{+0.5}times 10^{-3}, 5.2^{-1.5}_{+1.6}times 10^{-4}, and 1.5^{-0.4}_{+0.4}times 10^{-3}, respectively. The branching ratios of the semi-electronic decays of B_c to D-wave D mesons are in the order of 10^{-5}. We also obtained the forward–backward asymmetry, angular spectra, and lepton momentum spectra. In particular the distribution of decay widths for the 2^- states D_2 and D'_2 varying along with mixing angle are presented.
Highlights
The D-wave D(s) mesons have attracted lots of attention since numerous excited charmed states are discovered by BaBar [1], and LHCb [2–5]
We study the weak decays of B(s) and Bc into D-wave heavy–light mesons, including J P = 2− (D(s)2, D(s)2, B(s)2, B(s)2) and 3− (D(∗s)3, B(∗s)3) states
The same final states show the presence of two unnatural parity states, DJ (2580)0 and DJ (2740)0
Summary
The D-wave D(s) mesons have attracted lots of attention since numerous excited charmed states are discovered by BaBar [1], and LHCb [2–5]. The two D-wave charm–strange mesons with J = 2, namely the 2− states Ds2 and Ds2, are still undiscovered in experiment The identification of these new excited charmed mesons can be found in Refs. [20], where Ds∗3(2860) is identified as 13D3 cs; D3∗(2798)0 is identified as 13D3(cq) state; D1∗(2760)0 is interpreted as 13D1(cq); and the DJ (2750)0 reported by BaBar and DJ (2740)0 reported by LHCb are identified as the same state with 1D2(cq), where q denotes a light quark u or d. These D-wave excited states still need more experimental data to be discovered or confirmed. The semi-leptonic decays of B(s) into D-wave charmed mesons have been studied by QCD sum rules [21–
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