arXiv subjects

Tapashi Das

Publications and source records attributed to Tapashi Das.

3 recordsLinked to original sources

arXiv2022

Parameterisation space for Cornell potential in a QCD potential model

We make a critical analysis on the free parameters of the Cornell potential $-4α_{s}/3r+br+c$ and provide a parameterisation space for the strong coupling constant $α_{s}$ and the constant shift $c$ for choosing linear part as perturbation in the potential model. In the analysis of heavy-light mesons $(D,D_{s},B,B_{s}~ \text{and} ~B_{c})$, we have found a wide range of values for the coupling constant i.e $0.20 \leq α_{s}\leq 0.64$ with $-1.2 \leq c \leq -0.66$ which can be used to treat the confining part as perturbation.

hep-ph↗

arXiv2016

Isgur-Wise function and a new approach to Potential Model

Considering the Cornell potential $V(r)=-\frac{4α_s}{3r}+br+c$, we have revisited the Dalgarno's method of perturbation by incorporating two scales $r^{short}$ and $r^{long}$ as integration limit so that the perturbative procedure can be improved in a potential model. With the improved version of the wave function the ground state masses of the heavy-light mesons $ D, D_s, B, B_s$ and $B_c $ are computed. The slopes and curvatures of the form factors of semi-leptonic decays of heavy-light mesons in both HQET limit and finite mass limit are calculated and compared with the available data.

hep-ph↗

arXiv2016

RMS and charge radii in a potential model

The Dalgarno's method of perturbation is used to solve the Schrodinger's equation with the Cornell potential $V(r)=-\frac{4α_s}{3r}+br+c$. The short range and long range effect of the potential is incorporated in the same wave function by using two scales $r^S$ and $r^L$ as an integration limit. The results for bounds on r.m.s. radii of various heavy flavored mesons are reported. We have also showed the relation between r.m.s. and charge radius of mesons.

hep-ph↗