Generalized $^3P_0$ and $^3S_1$ Annihilation Potentials for $\bar{p}p$ Decay into Two Mesons based on a Simple Quark Model

Within the quark model a generalization is proposed of the commonly used annihilation potential to describe antiproton-proton annihilation into two mesons, the so-called $^3P_0$ and $^3S_1$ mechanisms. This generalized potential treats the two mechanisms in a more symmetric way, has additional angular dependence, and results in an expanded set of selection rules.