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.

8 pages, 7 figures, 1 table