Partial-Wave Analysis of the $3 π$ Decay of the $A_{2}$

A new partial-wave analysis is applied to the

3 π

decay of the

{A_{2}}^{-}

in the reaction

π^{-} p \to p π^{+} π^{-} π^{-}

at 5 and 7.5

\frac{GeV}{c}

. The relative importance of the spins and parities

0^{-}

1^{+}

1^{-}

2^{+}

, and

2^{-}

are obtained as a function of

3 π

mass. Only the

2^{+}

spin and parity shows resonant structure. Results are also given on the polarization and momentum-transfer dependence of the

A_{2}

and on the mass dependence of the interference of

1^{+}

background with

2^{+}

resonance.

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Partial-Wave Analysis of the3πDecay of theA2