Relativistic corrections to the Pionium Lifetime

Abstract

Next to leading order contributions to the pionium lifetime are considered within non-relativistic effective field theory. A more precise determination of the coupling constants is then needed in order to be consistent with the relativistic pion-pion scattering amplitude which can be obtained from chiral perturbation theory. The relativistic correction is found to be 4.1% and corresponds simply to a more accurate value for the non-relativistic decay momentum.

5 pages, Latex. Includes corrections based on a more precise matching to the pion-pion scattering amplitude from chiral perturbation theory

References in corpus (1)

• On the Lifetime of the pi+pi- Atom

Cited by in corpus (16)

• ππscattering
• Ground-state energy of pionic hydrogen to one loop
• Cusps in K --> 3 pi decays
• Kaon-nucleon scattering lengths from kaonic deuterium experiments
• Decays of the pi+ pi- atom
• Decay widths and energy shifts of pi pi and pi K atoms
• Effective Field Theory Approach to Pionium
• Electromagnetic Corrections to Charged Pion Scattering at Low Energies
• Hadronic Atoms
• Hadronic potentials from effective field theories
• Energy and decay width of the pi-K atom
• Short-Range Hard-Sphere Potential and Coulomb Interaction: Deser-Trueman Formula for Rydberg States of Exotic Atomic Systems
• Kaonic atoms in QCD
• Bound Deuteron-Antideuteron System (Deuteronium): Leading Radiative and Internal-Structure Corrections to Bound-State Energies
• Kaon-Nucleon scattering lengths from the experiments on kaonic hydrogen and kaonic deuterium
• Relativistic and Recoil Corrections to Light-Fermion Vacuum Polarization for Bound Systems of Spin-0, Spin-1/2, and Spin-1 Particles