Method of Determining the Spin and Parity of a Pion-Hyperon Resonance

The reaction sequence,

M_{1} + N_{1} \to Y^{*} + M_{2}

;

Y^{*} \to Y + π_{1}

;

Y \to N_{2} + π_{2}

is considered, where

M_{1}

and

M_{2}

are spin-zero mesons,

N_{1}

and

N_{2}

are nucleons,

Y

is a

Λ

Σ^{+}

particle, and

Y^{*}

is a pion-hyperon resonance of spin ½ or

\frac{3}{2}

. The general form of the angular distribution of the particles

π_{1}

and

N_{2}

is written down under the assumption that final state interactions between the meson

M_{2}

and the

Y^{*}

decay particles may be neglected. If any polarization of the hyperon

Y

exists, the spin and parity of the resonance

Y^{*}

may be determined from this angular distribution. The structure of the spin density matrix of the

Y^{*}

is discussed.

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