Heavy meson spectra from relativistic BS equations to the order 1/M

QCD sum rules for masses of excited heavy mesons

“…Though (36) and (37) can be considered as consistent within the uncertainties, (37) indicates that the QCD sum rule approach can incorporate a mass value for (0 + , 1 + ) lower than that for (1 + , 2 + ). This is in agreement with quark model predictions in [11] and [3]. By contrast, we have also derived the sum rule for the ground state doublet (0 − , 1 − ) with the currents with the extra derivative −i D. We found that there is no acceptable stability window for this sum rule.…”

Contribution of the DK continuum in the QCD sum rule for DsJ(2317)

“…The mass of D sJ (2317) is significantly lower than the expected values in the range of 2.4 − 2.6 GeV within quark models [3]. The model using the heavy-quark mass expansion of the relativistic BetheSalpeter equation predicted a lower value 2.369 GeV [4], which is still higher than the experimental data by about 50 MeV.…”

O(1/mQ)corrections to masses of excited heavy mesons from QCD sum rules

“…However, to obtain some detailed predictions one needs to combine it with some non-perturbative methods. The spectra and decay widths of heavy meson excited states have been studied with the 1/m Q expansion in the relativistic Bethe-Salpeter equations in [3,4]. They can also be studied with the QCD sum rules in HQET which have been used both for ground states of heavy mesons [5][6][7] and for lowest excited heavy meson doublets (0 + , 1 + ) and (1 + , 2 + ) at leading order of the 1/m Q expansion [8].…”