Calculation of A Λp invariant-mass distribution in the reaction K?d → π?Λp

The Λp invariant-mass distribution in the reaction K^?d → π^?Λp, which is observed Cline et al., has two enhancements: just below the ΣN threshold and just above the ΛN threshold. We have calculated the Λp invariant mass distribution with the two-channel formalism. It has been well discussed in our previous paper that the enhancement just below the ΣN threshold is mainly due to a Λp resonance. In our previous paper, we have interpreted the enhancement just above the ΛN threshold as the two-channel final state interaction or a Λp final state interaction associated with the ΣΛ conversion process. The physical meaning will be intensively discussed in this paper. In fact, we have clearly shown, in this paper, that the effect due to the ΣΛ conversion process is in the enhancement just above the ΛN threshold. If the experimental data should be interpreted by the two-step process K^?d → π^?(ΣN) → π^?Λp, the effect due to the ΣΛ conversion process should have appeared in the experimental data, although some experimental data do not show the enhancement just above the ΛN threshold.