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A simple partial wave amplitude analysis of $\overline{p}p \rightarrow \pi^-\pi^+$ has been performed for data in the range p$_{\sl lab}$ = 360 -- 1000MeV/c. Remarkably few partial waves are required to fit the data, while thenumber of required $J$ values barely changes over this energy range. However,the resulting set of partial wave amplitudes is not unique. We discuss possiblemeasurements with polarized beam and target which will severely restrict andhelp resolve the present analysis ambiguities. New data from the reaction$\overline{p}p \rightarrow \pi^0 \pi^0$ alone, are insufficient for thatpurpose.Comment: 16 pages (revtex), 8 figures available on request, submitted to Phys.  Rev.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Amplitude analysis of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>¯</mml:mi></mml:mrow></mml:mover></mml:mrow></mml:mrow><mml:mi>N</mml:mi><mml:mo>→</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></…

Amplitude analysis of theN¯N→π−π+