An amplitude analysis of the N‾N→π−π+\overline{N}N \to \pi^- \pi^+ reaction

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 -- 1000 MeV/c. Remarkably few partial waves are required to fit the data, while the number of required $J$ values barely changes over this energy range. However, the resulting set of partial wave amplitudes is not unique. We discuss possible measurements with polarized beam and target which will severely restrict and help resolve the present analysis ambiguities. New data from the reaction $\overline{p}p \rightarrow \pi^0 \pi^0$ alone, are insufficient for that purpose.Comment: 16 pages (revtex), 8 figures available on request, submitted to Phys. Rev.

Annihilation range and final-state interaction in the antiproton-proton annihilation into pi-pi+

The large set of accurate data on differential cross section and analyzing power from the CERN LEAR experiment on $\bar pp \to \pi^+\pi^-$ in the range from 360 to 1550 MeV/c is well reproduced within a distorted wave approximation approach. The initial $\bar pp$ scattering wave functions originate from a recent $\bar N N$ model. The transition operator is obtained from a combination of the $^3P_0$ and $^3S_1$ quark-antiquark annihilation mechanisms. A good fit to the data, in particular the reproduction of the double dip structure observed in the analyzing powers, requires quark wave functions for proton, antiproton, and pions with radii slightly larger than the respective measured charge radii. This corresponds to an increase in range of the annihilation mechanisms and consequently the amplitudes for total angular momentum J=2 and higher are much larger than in previous approaches. The final state $\pi\pi$ wave functions, parameterized in terms of $\pi\pi$ phase shifts and inelasticities, are also a very important ingredient for the fine tuning of the fit to the observables.Comment: 11 pages, 11 figures (Revtex 4), revised version with one additional figure. Accepted for publication in PR

Analysis of pp #-># #pi##pi# data at low energy and its implications

SIGLEAvailable from British Library Document Supply Centre- DSC:DX184102 / BLDSC - British Library Document Supply CentreGBUnited Kingdo