The ${^{3}\!}P_{0}$ model reloaded

Abstract

We revisit the phenomenological ${^{3}\!}P_{0}$ model for the decay of quarkonium $\left( Q\bar{Q}\right) $ into two open flavor mesons ($\bar{\mathfrak{M}}\mathfrak{M}% $). We take the heavy-quark limit and derive a transition rate between $Q\bar{Q}$ and $\bar{\mathfrak{M}}\mathfrak{M}$ to be compared with the one calculated in studies of string breaking using lattice QCD. This comparison allows to fit the creation amplitude of a light quark-antiquark pair in the ${^{3}\!}P_{0}$ model to the string-breaking transition rate in QCD.