D meson spectroscopy and their decay properties using Martin potential in a relativistic Dirac formalism

For the present study, we have used the Martin-like potential for the quark confinement. Our predicted states in the S-wave, 23S1 (2605.86 MeV) and 21S0 (2521.72 MeV), are in very good agreement with experimental results of 2608±2.4±2.5 MeV and 2539.4±4.5±6.8 MeV, respectively, reported by the BABAR Collaboration. The calculated P-wave D meson states, 13P2 (2462.50 MeV), 13P1 (2407.56 MeV), 13P0 (2373.82 MeV) and 11P1 (2423.28 MeV), are in close agreement with experimental average (Particle Data Group) values of 2462.6±0.7 MeV, 2427±26±25 MeV, 2318±29 MeV and 2421.3±0.6 MeV, respectively. The pseudoscalar decay constant (fP= 202.57 MeV) of the D meson is in very good agreement with the experiment as well as with the lattice predictions. The Cabibbo favoured nonleptonic decay branching ratios, BR(D0→K-π+) of 4.071% and BR (D0→K+π-) of 1.135×10-4, are also in very good agreement with the respective experimental values of 3.91±0.08% and (1.48±0.07)×10-4 reported by CLEO Collaboration. The mixing parameters of the D0–D¯0 oscillation, xq (5.14 ×10-3), yq (6.02 ×10-3) and RM (3.13 ×10-5), are in very good agreement with BaBar and Belle Collaboration results.