D Wave Heavy Mesons

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We first extract the binding energy $\bar Λ$ and decay constants of the D wave heavy meson doublets $(1^{-},2^{-})$ and $(2^{-},3^{-})$ with QCD sum rule in the leading order of heavy quark effective theory. Then we study their pionic $(π, K, η)$ couplings using the light cone sum rule, from which the parameter $\bar Λ$ can also be extracted. We then calculate the pionic decay widths of the strange/non-strange D wave heavy $D/B$ mesons and discuss the possible candidates for the D wave charm-strange mesons. Further experimental information, such as the ratio between $D_sη$ and $DK$ modes, will be very useful to distinguish various assignments for $D_{sJ}(2860, 2715)$.
10 pages, 3 figuers, 3 tables. Some descriptions changed, typos corrected. Published version in PRD

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