Understanding the charmed states recently observed by the LHCb andBaBarCollaborations in the quark model

Abstract

Comparing the expected spectroscopy in the relativistic quark model and the predicted strong decays in the 3 P 0 model employing the realistic wave functions from the relativistic quark model with the measured properties of the LHCb and BaBar charmed states, we find that the masses and strong decays of these charmed states can be reasonably explained in the conventional qq picture, and therefore suggest that the D(2550)/D J (2580), D * (2600)/D *

Strong decays of DJ(3000) and DsJ(3040)<

“…In the results of Ref. [44], both the 2Pð1 þ 0 Þ and 2Pð1 þ Þ states are larger than the experimental data, so the authors excluded these quantum states. In Ref.…”

Strong decays of the orbitally excited scalar $$D^{*}_{0}$$ D 0 ∗ mesons

“…Spin analysis indicates that D J (3000) has an unnatural parity, and the assignments of 2P(1 + ), 3S(0 − ) and 1F(3 + ) etc. have been discussed [7][8][9][10]. Our previous study favored the broad 2P(1 + ) assignments [11].…”

Strong decays of $$D_{3}^{*}(2760)$$ D 3 ∗ ( 2760 ) , $$D_{s3}^{*}(2860)$$ D s 3 ∗ ( 2860 ) , $$B_{3}^{*}$$ B 3 ∗ , and $$B_{s3}^{*}$$ B s 3 ∗

“…For M = 5978 MeV, the total decay width (22.9 MeV) is about 3 times smaller than the central value of the experimental data (70 +30 −20 ± 30 MeV) which has large errors. So we expect more data as regards this particle will be accumulated and more precise decay widths will be [33,34,40,56] and the chiral quark model is adopted by Ref. [30] Mode Ours Ref.…”

“…Beside that, those decays are also applied to determine the quantum number of particles. To study these decays, several theoretical methods could be applied, such as the chiral quark method [9,[27][28][29][30], the heavy meson effective theory [5,14,26,31], the QCD sum rules [15,16], and the 3 P 0 method [10,12,18,25,[32][33][34][35][36][37][38][39][40]. The chiral quark model introduces an effective Lagrangian to describe the coupling between light quark fields and light meson, while for the heavy meson effective theory, the interaction lagrangian is constructed just by meson fields.…”