D-wave heavy-light mesons from QCD sum rules

We study the D-wave (c) over bars heavy meson doublets (1(-), 2(-)) and (2(-), 3(-)) using the method of QCD sum rule in the framework of heavy quark effective theory. Choosing the same threshold values.c around 2.7 Gev, we calculate the masses of the 1(-) and 3(-) states. They are m(D*s1) = 2.81 +/- 0.10 GeV and m(D*s3) = 2.85 +/- 0.08 GeV, consistent with the newly observed D*(s1)(2860) and D*(s3)(2860) states by LHCb. The masses of their 2-partners are calculated to be 2.82 +/- 0.10 and 2.81 +/- 0.08 GeV. The mass splittings within the same doublet are calculated to be m(Ds2) - m(Ds1) = 0.016 +/- 0.007 GeV and m(D*s3) - m(D's2) = 0.039 +/- 0.014 GeV.