Pionium lifetime and ππscattering lengths in generalized chiral perurbation theory

Details Pionium lifetime and ππscattering lengths in generalized chiral perurbation theory Pionium lifetime and ππscattering lengths in generalized chiral perurbation theory

1999-11-29

arxiv.org/abs/hep-ph/9911520v1

Nucl.Phys.Proc.Suppl. 86 (2000) 271-274

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 1 figure (included in the text), Latex. Uses espcrc2.sty. Talk given at the QCD99 Conference, Montpellier, 7-13 July

Scientific paper

10.1016/S0920-5632(00)00575-2

The relationship between the pionium lifetime and the $\pi\pi$ scattering lengths is established, including the sizable electromagnetic corrections. The bound state formalism that is used is that of constraint theory which provides a covariant three-dimensional reduction of the Bethe--Salpeter equation. The framework of generalized chiral perturbation theory allows then an analysis of the lifetime value as a function of the $\pi\pi$ scattering lengths, the latter being dependent on the quark condensate value.

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