The D-wave heavy-light mesons from QCD sum rules

TL;DR

This paper uses QCD sum rules within heavy quark effective theory to calculate the masses of D-wave heavy-light mesons, matching recent experimental observations and providing detailed mass splittings.

Contribution

It provides the first QCD sum rule calculations of D-wave heavy-light meson doublets, aligning theoretical predictions with newly observed states.

Findings

Calculated masses of D-wave mesons match experimental data.

Determined mass splittings within meson doublets.

Predicted masses for unobserved partner states.

Abstract

We study the D-wave c_bar s 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 omega_c around 2.7 Gev, we calculate the masses of the 1^- and 3^- states. They are m_{D*_{s1}} = 2.81 \pm 0.10 GeV and m_{D*_{s3}} = 2.85 \pm 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 \pm 0.10 and 2.81 \pm 0.08 GeV. The mass splittings within the same doublet are calculated to be m_{D_{s2}} - m_{D*_{s1}} = 0.016 \pm 0.007 GeV and m_{D*_{s3}} - m_{D'_{s2}} = 0.039 \pm 0.014 GeV.