Abstract
The mass spectra for the heavy-light (c{bar{q}}) ;q = u or d charmed mesons are computed based on a relativistic framework. The low-lying 1P states are found to be in an excellent agreement with the PDG reported values. Using the computed mass spectra and following effective Lagrangian approach based on heavy quark and chiral symmetry, the OZI allowed two body strong decays are computed. The computed decay rates, ratios and branching fractions allow us to identify the proper spin-parity assignments of the newly observed charm states. Accordingly, we could identify D_J(2560) as 2^1S_0, D_J^*(2680) as 2^3S_1, D_J(2740) as 1^3D_2, D_J^*(2760) as 1^3D_3, D^*_J(3000) as 2^3P_0, D_J(3000) as 2^1P_1 and D^*_2(3000) as 1^3F_2 open charm states. The effective coupling constants, g_T, tilde{g_H}, g_Y, tilde{g_S} and g_Z extracted from the present study are found to be in accordance with the reported values. These coupling constants would be useful in further investigations. We found D^{*+} pi ^- as a favorable channel for the experimental search of the missing 1^1F_3 state.
Highlights
In 2013, L H Cb has studied the D+π −, D0π + and D∗+π − channel invariant mass spectra and enriched the spectrum of charmed mesons
The heavy-light mesons are composed of one heavy quark Q and other light quark q, so the properties of heavy-light mesons are significantly influenced by relativistic effects. such systems can be systematically emphasised within relativistic Dirac framework
We obtained the mass spectra of the heavylight charmed mesons within the framework of the relativistic formalism
Summary
In 2013, L H Cb has studied the D+π −, D0π + and D∗+π − channel invariant mass spectra and enriched the spectrum of charmed mesons. Theoretical analysis of the mass spectra and decay properties are simultaneously required to assign their spin-parity (J P ) quantum numbers Such a theoretical model allows suitable testing ground for the newly observed states. For the present study, we consider relativistic Dirac equation with mixed four-vector plus scalar powerlaw confinement potential for the single particle bound state energy of the quark and anti-quark Using these single particle energies along with their j j coupling, the massess of the charmed mesons are computed. Page 3 of 17 935 nomenological parameters, still HQET combined with chiral perturbation theory is a promising approach in the predictions of the strong decays of heavy-light hadrons [28] This heavy quark symmetry impose constraints on the range of coupling constant between 0 and 1 for ground state charm mesons [29].
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