The pionium lifetime in generalized chiral perturbation theory

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 $(a_0^0-a_0^2)$ of the $\pi \pi$ S-wave scattering lengths with isospin I=0,2.

14 pages, 1 figure (included in the text), Latex

References in corpus (3)

• Paramagnetic effect of light quark loops on Chiral Symmetry Breaking
• On the Lifetime of the pi+pi- Atom
• Low-energy photon-photon fusion into three pions in Generalized Chiral Perturbation Theory

Cited by in corpus (13)

• ππscattering
• Ground-state energy of pionic hydrogen to one loop
• Determination of the a0-a2 pion scattering length from K->pi+ pi0 pi0 decay
• Decays of the pi+ pi- atom
• Four-point correlator constraints on electromagnetic chiral parameters and resonance effective Lagrangians
• Decay widths and energy shifts of pi pi and pi K atoms
• Leading Chiral Logarithms to the Hyperfine Splitting of the Hydrogen and Muonic Hydrogen
• Electromagnetic Corrections to Charged Pion Scattering at Low Energies
• Electromagnetic low-energy constants in ChPT
• Hadronic Atoms
• Hadronic potentials from effective field theories
• Energy and decay width of the pi-K atom
• Kaonic atoms in QCD