Looking for meson molecules in B decays

Abstract

We discuss the possibility of observing a loosely bound molecular state in a B three-body hadronic decay. In particular we use the QCD sum rule approach to study a ${\eta }^{\prime }-\pi$ molecular current. We consider an isovector-scalar $I^G{J}^{PC}=1^{-}{0}^{++}$ molecular current and we use the two-point and three-point functions to study the mass and decay width of such state. We consider the contributions of condensates up to dimension six and we work at leading order in ${\alpha }_s$. We obtain a mass around 1.1 GeV, consistent with a loosely bound state, and a ${\eta }^{\prime }-\pi \to K^{+}{K}^{-}$ decay width around 10 MeV.

Comments: 7 pages, 8 figures