In this paper, we study the Formula: see text meson’s radial and angular resonance states using the relativistic independent quark potential model with scalar and vector components of square root confinement. The model parameters are set phenomenologically, with Formula: see text Formula: see textGeV, Formula: see text Formula: see textGeV, and the leading predictions, Formula: see text (2.112Formula: see textGeV) and Formula: see text (1.903Formula: see textGeV), are well in accord with PDG results. To explore radial and angular resonance states, we adjust Formula: see text Formula: see textGeV while keeping “a” remains constant. Our computations, 2Formula: see text (2.707Formula: see textGeV), 2Formula: see text (2.687Formula: see textGeV), 3Formula: see text (3.336Formula: see textGeV), 3Formula: see text (3.327Formula: see textGeV), 1Formula: see text (2.568Formula: see textGeV), 1Formula: see text (2.535Formula: see textGeV), 1Formula: see text (2.314Formula: see textGeV), 1Formula: see text (2.467Formula: see textGeV), 2Formula: see text (3.098Formula: see textGeV), and 1Formula: see text (2.866Formula: see textGeV), are nearly matching with both experiment and other theoretical results. Further, we calculate the pseudoscalar and vector meson decay constant, magnetic transitions Formula: see text transition), non-leptonic, and semileptonic decay widths and branching fractions of Formula: see text-meson. The findings are in reasonable accord with Lattice QCD computations, experimental data, and other theoretical projections. The current calculated values of Formula: see text and Formula: see text, are nearly identical with the PDG and QCDSR values. The predicted magnetic transition aligns well with experimental and other computed theoretical values. The calculated non-leptonic decay widths, like, Formula: see text, Formula: see text, Formula: see text, Formula: see text shows good agreement with experimental values. Furthermore, we figure out the semileptonic decay widths and branching fractions of Formula: see text-mesons, such as Formula: see text, Formula: see text, Formula: see text, and shows good agreement with the PDG results. Our findings are consistent with Lattice QCD computations, experimental observations, and other theoretical predictions.
Behera et al. (Wed,) studied this question.