Abstract
We first extract the binding energy
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
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
s
η
and
DK
modes, will be very useful to distinguish various assignments for
D
sJ
(2860,2715)
.