SearcharxivSearch

arXiv subjects

K K Pathak

Publications and source records attributed to K K Pathak.

3 recordsLinked to original sources

Weak decays of Bc meson in a QCD potential model

The leptonic and semileptonic decay propertis of Bc mesons are studied in a QCD potential model. The CKM element for the leptonic decay is calculated by evaluating its decay constant. With the help of the Isgur-Wise function, the form factors and the CKM element for semileptonic decay are also calculated. The variation in four-momentum square in the two decays demands two different scales of the strong coupling constant \alpha_s. Thus, a two-scale picture is evident from the study. We compute the decay constant f_p for leptonic decay and form factors for semileptonic decay with two different \alpbda scales in a specific prescription where it is related to the strong coupling \alpha_s. Within the potential model, we find the scale for leptonic decay is \lambda \le 0.150 GeV and for semileptonic decay is \lamda \ge 0.410 GeV.

hep-ph

Charge radii of heavy flavored mesons in a potential model

We report the results for charge radii of heavy flavored mesons ($D^+, D^0, D^+_s, B^+, B^0, B^0_s$) in an improved QCD potential model. To enhance the effectiveness of short range and long range effect of the potential $V(r)=-4\frac{\alpha_s}{3r}+br+c$ in the perturbative procedure a cut-off parameter $r^P$ is introduced as an integration limit. The obtained results are found to be comparable with other available data. The limitation of the approach is discussed in the manuscript.

hep-ph

Oscillation frequency of B and B mesons in a QCD potential model with relativistic effect

Wavefunction at the origin with the incorporation of relativistic effect leads to singularity in a specific potential model. To regularise the wavefunction, we introduce a short distance scale here and use it to estimate masses and decay constants of Bd and Bs mesons within the QCD potential model.These values are then used to compute the oscillation frequency ΔmB of Bd and Bs mesons. The values are found to be in good agreement with experiment and other theoretical values.

hep-ph