F-wave heavy-light meson spectroscopy in QCD sum rules and heavy quark effective theory

TL;DR

This paper predicts the masses of F-wave heavy-light meson doublets using QCD sum rules within heavy quark effective theory, providing initial estimates for these highly excited states.

Contribution

It is the first study to analyze F-wave c̄s heavy meson doublets with QCD sum rules, offering preliminary mass predictions for these challenging orbital excitations.

Findings

Predicted masses for (2+,3+) doublet: approximately 3.45 and 3.50 GeV.

Predicted masses for (3+,4+) doublet: approximately 3.20 and 3.26 GeV.

Mass splittings are around 0.046 and 0.053 GeV, with uncertainties.

Abstract

We study the F-wave c_bar s heavy meson doublets (2+,3+) and (3+,4+). They have large orbital excitations L=3, and may be good challenges (tests) for theoretical studies. To study them we use the method of QCD sum rule in the framework of heavy quark effective theory. Their masses are predicted to be m_{(2+,3+)} = (3.45 \pm 0.25, 3.50 \pm 0.26) GeV and m_{(3+,4+)} = (3.20 \pm 0.22, 3.26 \pm 0.23) GeV, with mass splittings Delta m_{(2+,3+)} = m_{3+} - m_{2+} = 0.046 \pm 0.030 GeV and Delta m_{(3+,4+)} = 0.053 \pm 0.044 GeV, respectively. We note that this is a pioneering work and these results are provisional.