Exploring B-meson properties using relativistic independent quarks.

In this paper, we examine the radially excited states of B-mesons: B ± , B ± ∗ , B s 0 ∗ , B s 0 , B c ± ∗ and B c ± -mesons. Our investigation uses the relativistic independent quark model, which relies on a flavor-independent average potential expressed in the scalar and vector square root form. We make phenomenological fit the potential model parameters, a = 0. 8 8 5   GeV, U 0 = − 1. 0 7 0   GeV for calculation of 1S state of B-mesons: B ± (5. 2 7 2 GeV) , B ± ∗ (5.329 GeV), B s 0 (5. 3 6 0 GeV) , B s 0 ∗ (5. 4 2 9 GeV) , B C ± (6. 0 5 9 3 GeV) ,   B C ± ∗ (6. 2 6 0 4 GeV) , which aligns well with theoretical and experimental data. For higher radially excited states (2S, 3S, 4S, 5S), we adjust U 0 = − 1. 3 4 4   GeV while keeping "a" fixed, yielding results consistent with other theoretical models. With these parameters, we compute the pseudoscalar and vector meson decay constants, magnetic transition rates, non-leptonic decay widths, branching fractions, rare decay widths, and semileptonic decay widths and branching fractions of the B-mesons. Our findings show reasonable agreement with lattice QCD calculations, experimental results and other theoretical predictions. For instance, our predicted radiative decay width for B c ∗ (1S) →   B c (1S) γ , sensitive to the B c ∗ and B c , mass difference, can aid in experimentally determining the B c ∗ , mass. Predicted non-leptonic branching fractions, such as B 0 → D − ρ + (6. 3 9 3 × 1 0 − 3) ,   B 0 → D − k + (2. 1 4 8 × 1 0 − 4) and B S 0 → D S − k + (2. 1 8 8 × 1 0 − 4) , align with PDG values of (7. 6 ± 1. 2) × 1 0 − 3 , (2. 0 5 ± 0. 0 8) × 1 0 − 4 and (2. 2 5 ± 0. 1 2) × 1 0 − 4 . Additionally, we calculate the dileptonic decays of B 0 → μ + μ − (2. 2 4 5 × 1 0 − 1 0) and B S 0 → μ + μ − (3. 5 0 6 × 1 0 − 9) , which agrees with CMS, LHCb and PDG results. Our semileptonic decays of B 0 and B S 0 mesons are computed and compared with PDG results. Furthermore, the results obtained for mass difference, Δ M (0. 5 0 9 ps − 1 and 1 7. 6 9 9 ps − 1) , mixing parameters, x q (0. 7 7 1 and 2 6. 8 2) , χ q (0.1866 and 0.4993) of B 0 − B ̄ 0 and B S 0 − B ̄ S 0 oscillations, shows good agreement with PDG data, validating our model. [ABSTRACT FROM AUTHOR]