2019/10/29 by Sonali Patnaik, Patnaik, Sonali, Lopamudra Nayak +7 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.1910.13206
arxiv created 2019/10/29 · arxiv updated 2019/10/30
We study the semileptonic decays of Bc meson to S-wave charmonium states in the framework of relativistic independent quark model based on an average flavor-independent confining potential U(r) in the scalar-vector harmonic form U(r)=(1)/(2)(1+γ0)(ar2+V0), where (a, V0) are the potential parameters.The form factors for Bc+→ ηc /ψe+νe transitions are studied in the physical kinematic range. Our predicted branching ratios (BR) for transitions to ground state charmonia are found comparatively large ∼ 10-2, compared to those for transitions to radially excited 2S and 3S states. Like all other mpdel predictions, our predicted BR are obtained in the hierarchy: BR(Bc+→ ηc /ψ(3S)) < BR(Bc+→ ηc/ ψ(2S)) < BR(Bc+→ ηc /ψ(1S)). The longitudinal (ΓL) and transverse polarization (ΓT) for Bc → ψ(ns) decay modes are predicted in the small and large q2 - region as well as in the whole physical region. The ratios for such transitions are obtained \frac ΓLΓT < 1 throughout the kinematic range which means the Bc+ meson transitions to vector meson charmonium states take place predominantly in transverse polarization mode. The theoretical predictions on these transitions could be tested in the on-going and forthcoming experiments at LHCb.