Electron-positron annihilation into four charged pions and the a1ρπ Lagrangian

Peter Lichard and Josef Juráň
Phys. Rev. D 76, 094030 – Published 29 November 2007

Abstract

The excitation curve of e+e annihilation into four charged pions in the ρ(770) region is calculated using three existing models with ρ mesons and pions in intermediate states supplemented by Feynman diagrams with the a1(1260)π intermediate states. A two-term phenomenological Lagrangian of the a1ρπ interaction is used. The mixing angle is determined by fitting the e+eπ+ππ+π cross section data of the Novosibirsk CMD-2 Collaboration and also its combination with the low-energy part of the BABAR Collaboration data. It is shown that the inclusion of the a1π intermediate states succeeds in obtaining a good agreement with the data on both cross section and the ρ0π+ππ+π decay width. When moving to energies above 1 GeV, the ρ(1450) and ρ(1700) resonances are taken into account to get excellent agreement with the BABAR data over the full energy range up to 4.5 GeV.

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  • Received 27 January 2006

DOI:https://doi.org/10.1103/PhysRevD.76.094030

©2007 American Physical Society

Authors & Affiliations

Peter Lichard1,2 and Josef Juráň1

  • 1Institute of Physics, Silesian University in Opava, Bezručovo nám. 13, 746 01 Opava, Czech Republic
  • 2Institute of Experimental and Applied Physics, Czech Technical University, Horská 3/a, 120 00 Prague, Czech Republic

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Issue

Vol. 76, Iss. 9 — 1 November 2007

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