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 $B\to {\rho }^{\prime }\pi /B\to \rho \pi$, $B\to {\omega }^{\prime }\pi /B\to \omega \pi$ and $B\to {\varphi }^{\prime }\pi /B\to \varphi \pi$ where ${\rho }^{\prime }$, ${\omega }^{\prime }$ and ${\varphi }^{\prime }$ are higher $\rho$, $\omega$ and $\varphi$ S-wave radial excitations. We find such decays to have larger or similar branching ratios compared to decays where the final state $\rho$, $\omega$ and $\varphi$ 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.

Comments: Latex, 12 pages, one figure