Partial Wave Analysis

General PWA links and papers:

Page with many partial wave analysis articles maintained by Curtis Meyer (CMU).

My version of a partial wave analysis guide. (pwprotected)

This document is in early development

K-Matrix Formalism:

The K-Matrix formalism for overlapping resonances

By I. J. R. Aitchison: Nuclear Physics A189 (1972), 417.

Partial Wave Analysis in the K-matrix formalism

By S.U. Chung, J.Brose, R. Hackmann, E. Klempt., S. Spanier and C. Strassburger (1995): Ann. der Physik 4:404 (1995).

A Primer on K-Matrix Formalism

By S. U. Chung and E. Klempt (1995), unpublished

(pipi)-s wave:

s-wave phase shift analyses from pipi scattering data:

Meson dynamics beyond the quark model: Study of final-state interactions(ps)

By. K. L. Au, D. Morgan, M. R. Pennington: Phys. Rev. D 35 (1987) 1633.

Scalar mesons and multichannel amplitudes

By R. Kaminski, L. Lesniak, B. Loiseau: Eur. Phys. J. C 9, (1999) 141.

A joint analysis of the S-wave in the pi+pi- and pi0pi0 data

By R. Kaminski, L. Lesniak, B. Loiseau:

Three channel model of meson-meson scattering and scalar meson spectroscopy

By R. Kaminski, L. Lesniak, B. Loiseau: Phys. Letters B 413 (1997), 130.

High-statistics study of f0(1500) decay into 2pi0

By Crystal Barrel Collaboration: Phys. Lett. B, 353, (1995), 571.

Coupled channel analysis of antiproton proton annihiliation into 3pi0, pi02eta,2pi0eta

By Crystal Barrel Collaboration: Phys. Lett. B355 (1995), 425.

Coupled channel analysis of the antiproton proton annihilation into 3pi0, 2pi0eta, pi02eta at rest and pipi scattering data

By S. Spanier (Crystal Barrel note, unpublished)

Nathan Isgur sheds some interesting light on the scalar mesons studying OZI processes with Lattice QCD methods:
On the Origin of the OZI Rule in QCD Nathan Isgur: JLAB-THY-00-10

Implementations for CLEO

Implementation of the (pipi)-s wave using K-matrix formalism (pwprotected)

Writeup of the method used for implementations below.

The code for a C++ implementation of a 2x2 matrix can be found in ~urner/pwa/pipis/pipis.cc, pipis.h, Makefile (pwprotected)
Mathematica implementation of 2x2 K-matrix for (pipi)-s wave (pwprotected)
Mathematica implementation of 3x3 K-matrix for (pipi)-s wave (pwprotected)
The 2x2 K-matrix parametrization was taken from High-statistics study of f_0(1500) decay into 2pi0