Charmless B Decays to Final States with Radially Excited Vector Mesons

Abstract

We consider the weak decays of a B meson to final states that contain a S-wave radially excited vector meson. We consider vector-pseudoscalar final states and calculate ratios of the type $B \to ρ^{\prime} π/B \to ρπ$, $B \to ω^{\prime} π/B \to ωπ$ and $B \to ϕ^{\prime} π/B \to ϕπ$ where $ρ^{\prime}$, $ω^{\prime}$ and $ϕ^{\prime}$ are higher $ρ$, $ω$ and $ϕ$ S-wave radial excitations. We find such decays to have larger or similar branching ratios compared to decays where the final state $ρ$, $ω$ and $ϕ$ are in the ground state. We also study the effect of radial mixing in the vector system generated from hyperfine interaction and the annihilation term.