P�p Annihilation into two mesons in the quark rearrangement model and the quark annihilation model

Abstract

The relativistic3P0 model is applied to the\(p\bar p\) annihilation into twoS-wave mesons. We calculate the branching ratios of the\(p\bar p\) annihilation at rest into two mesons in the quark rearrangement model and in the quark annihilation model. In the annihilation model, we project the intermediate\(cq\bar q\) state to eigenstates ofSU (4) with the relative angular momentum of\(cq\bar q\) equals orp. In the rearrangement model, no annihilation occurs from theS-wave\(p\bar p\) and certain branching ratios conflict with the experimental data. Detailed comparison with the experiment needs inclusion ofP-wave mesons in the final state, nevertheless we find that the annihilation model gives qualitatively better results than the rearrangement model. The effect of initial state interaction through\(N\bar \Delta \pm \Delta \bar {\rm N}\) or\(\Delta \bar \Delta \) channels is discussed.