2000•arXiv (Cornell University)Open access

Relationship of pionium lifetime with pion scattering lengths in generalized chiral perturbation theory

H. Sazdjian

Abstract

The pionium lifetime is calculated in the framework of the quasipotential-constraint theory approach, including the sizable electromagnetic corrections. The framework of generalized chiral perturbation theory allows then an analysis of the lifetime value as a function of the pion S-wave scattering lengths with isospins I=0,2, the latter being dependent on the quark condensate value.

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Key concepts: Chiral perturbation theory, Physics, Pion, Perturbation theory (quantum mechanics), Scattering, Quantum electrodynamics, Perturbation (astronomy), Constraint (computer-aided design)