QCD Potential Model Research Articles

Weak decays of $$B_{c}$$ meson in a QCD potential model

Weak decays of $$B_{c}$$ meson in a QCD potential model

Parameterisation space for Cornell potential in a QCD potential model

We make a critical analysis on the free parameters of the Cornell potential -frac{4alpha _{s}}{3r}+br+c and provide a parameterisation space for the strong coupling constant alpha _{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 le alpha _{s}le 0.64 with -1.2 le c le -0.66 which can be used to treat the confining part as perturbation.

2S and 3S State Masses and decay constants of heavy-flavour mesons in a non-relativistic QCD potential model with three-loop effects in V-scheme

We make an analysis of three -loop effects of the strong coupling constant in the study of masses and decay constants of the heavy-flavour pseudo-scalar mesons (PSM) D, D_s , B, B_s,B_c, eta _c and eta _b in a non-relativistic QCD potential model using Dalgarno’s perturbation theory (DPT). The first order mesonic wavefunction is obtained using Dalgarno’s perturbation theory. The three-loop effects of strong coupling constant are included in the wave function in co-ordinate space and then used to examine the static and dynamic properties of the heavy-flavour mesons for 2S and 3S higher states. The results are compared with the other models available and are found to be compatible with available experimental values. In V-scheme, the three-loop effects on masses and decay constants of heavy-flavour mesons show a significant result.

Charge radii and leptonic decay constants of heavy–light mesons in a potential model

We report the results for charge radii and decay constants of heavy–light D and B mesons in an improved QCD potential model. To enhance the effectiveness of short-range and long-range effect of the potential $$V(r)=-\frac{4 \alpha _\mathrm{s}}{3r}+\mathrm{br}$$ in the perturbative procedure a cutoff parameter $$r^P$$ is introduced as an integration limit. Another cutoff $$r_0$$ is used for the polynomial approximation of the series expansion used in the Dalgarno’s method of perturbation. The results obtained are found to be in agreement with other available data. The limitation of the approach is discussed in the manuscript.

Comments on the perturbation of Cornell potential in a QCD potential model

We find in the analysis that the linear part of the Cornell potential can be treated as perturbation for a set of larger values of σs in the range 0.4 ≤ σs ≤ 0.75 with a constant shift within the range of −0.4GeV ≤ c ≤ −1 GeV. Moreover with the same range of constant shift in the Potential, we expect better results with Coulombic part as perturbation for σs ≤ 0.4.

SEMILEPTONIC DECAY OF Bc MESON INTO $c\bar c$ STATES IN A QCD POTENTIAL MODEL

The slope and curvature of Isgur–Wise function for Bc meson is computed in a QCD potential model in two different approaches of choosing the perturbative term of the Cornell potential. Based on heavy quark effective theory the exclusive semileptonic decay rates of Bc meson into the [Formula: see text] states are exploited. Spin symmetry breaking effects are ignored up to a particular point and the form factors are connected with Isgur–Wise function for other kinematic point since the recoil momentum of [Formula: see text] from Bc is small due to its heavy mass.

LEPTONIC DECAY OF HEAVY–LIGHT MESONS IN A QCD POTENTIAL MODEL

We study the masses and decay constants of heavy–light flavor mesons D, Ds, B and Bs in a QCD potential model. The mesonic wave function is used to compute the masses of D and B mesons in the ground state and the wave function is transformed to momentum space to estimate the pseudoscalar decay constants of these mesons. The leptonic decay widths and branching ratio of these mesons for different leptonic channels are also computed to compare with the experimental values. The results are found to be compatible with available data.

Open flavour charmed mesons in a quantum chromodynamics potential model

We modify the mesonic wave function by using a short distance scale r0 in analogy with hydrogen atom and estimate the values of masses and decay constants of the open flavour charm mesons D, Ds and Bc within the framework of a QCD potential model. We also calculate leptonic decay widths of these mesons to study branching ratios and lifetime. The results are in good agreement with experimental and other theoretical values.

Semileptonic Decay of <i>B<sub>c</sub></i> Meson into <i>S</i> Wave Charmonium in a QCD Potential Model with Coulombic Part as Perturbation

We present the semileptonic decay of Bc meson in a QCD potential model with the coulombic part of the Cornell potential -4αs/3r+br+c as perturbation. Computing the slope and curvature of Isgur Wise function in this approach, we study the pseudoscalar and vector form factors for the transition of Bc meson to its S wave charmonium states. Numerical estimates of widths for the transitions of Bc→J|ψ(ηc)lv1 are presented.

The Oscillation Frequency of B and B̄ Mesons in a QCD Potential Model with Relativistic Effects

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

Decay constants of heavy quark mesons in a non-relativistic quark model

The weak decay constants of charm, bottom and top quark pseudoscalar mesons are calculated in a non-relativistic QCD potential model. The decay constants are obtained as ƒ D > ƒ B > ƒ T. An opposite result, ƒ D < ƒ B < ƒ T, is obtained by Mathur et al. using the QCD sum rules. A possible cause of this discrepancy and a comparison of our results with other calculations is presented also.