On the pion-hyperon resonances and on the possible uses thereof

The esistence of a resonance in the hyperon-pion system leads to a possibility of determining the Σ-Λ relative parity and the ratioαΛ/α0 of asymmetry coefficientsαΛ (in Λ→p+π−) andα0 (in Σ+→p+π0). In this paper a proposal is made which allows the determination of these quantities by measuring only the up/down asymmetries of pions coming from Λ- and Σ-decays. Various aspects of this proposal are discussed. The possible existence of other resonances has also been emphasized. In particular it is shown that the existence of a resonance in the isotopic spin stateI=1 leads to some predictions concerning the existence of another resonance, probably in theI=2 state.