Modified S-wave $\pi \pi$ scattering amplitude for multiparticle PWA

Abstract

Suggested by Au, Morgan, Pennington (AMP) S-wave isospin I=0 $\pi \pi$, $KK$ scattering amplitude is good enough to describe experimental data for the moment. Still it has two disadvantages for use in multiparticle partial wave analysis (PWA), namely sharp drop at the $KK$ threshold and unreasonable behavior at $M(\pi \pi )>1.6GeV/c^2$. The drop is not seen in multiparticle systems. We suggest the modified AMP amplitude, mAMP, for the only aim, namely to describe the broad part of $S$-wave $\pi \pi \to \pi \pi$ scattering in the wide $M(\pi \pi )$ range in multiparticle PWA. The mAMP amplitude describes threshold behavior of the $\pi \pi \to \pi \pi$ scattering and the wide structure at $M\sim 1400MeV/c^2$ reasonably well. It is assumed that narrow objects $f_0(980)$, $f_0(1500)$ are included in PWA separately. The amplitude does not describe $\pi \pi \to KK$ scattering. The mAMP amplitude is purely phenomenological.

Comments: 7 pages, 2 figures