The pionium lifetime in generalized chiral perturbation theory

2000/04/25 by H. Sazdjian · 2 citations
Physics and Astronomy · #Chiral perturbation theory #High-Energy Particle Collisions Research #Isospin #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #Scattering #Wave function #hep-ph

paper · pdf · doi:10.1016/s0370-2693(00)00976-x

published as Phys.Lett. B490 (2000) 203-212 · 14 pages, 1 figure (included in the text), Latex

arxiv created 2000/04/25 · openalex publication_date 2000/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Pionium lifetime corrections to the nonrelativistic formula are calculated in the framework of the quasipotential-constraint theory approach. The calculation extends an earlier evaluation, made in the scheme of standard chiral perturbation theory, to the scheme of generalized chiral perturbation theory, in which the quark condensate is left as a free parameter. The pionium lifetime is calculated as a function of the combination (a₀⁰-a₀²) of the ππ S-wave scattering lengths with isospin I=0,2.

Citations

• Virtual photons in SU(2) chiral perturbation theory and electromagnetic corrections to ππ scattering
• Chiral perturbation theory to one loop
• Resonance contributions to the electromagnetic low energy constants of chiral perturbation theory
• π+π−atom in chiral perturbation theory
• Pion-pion scattering at low energy

Cited by

• Determination of thea0−a2Pion Scattering Length fromK+→π+π0π0Decay
• Four-point correlator constraints on electromagnetic chiral parameters and resonance effective Lagrangians