Non-Relativistic Pion Interactions and the Pionium Lifetime

Abstract

We construct an effective Lagrangian for interacting pions with non-relativistic energies. The coupling constants can be expressed in terms of the different scattering lengths and slopes. When used in the calculation of the pionium decay rate, the scattering slope contribution gives a correction of about 8% compared with the lowest order contribution coming from the scattering lengths alone.

8 pages, 5 figures

References in corpus (3)

• Virtual Photons in Low Energy pi-pi Scattering
• (Pi+Pi-) Atom in Chiral Perturbation Theory
• Perturbative framework for the pi(+)pi(-) atom

Cited by in corpus (22)

• ππscattering
• Spectrum and decays of kaonic hydrogen
• Coulomb Effects in Low Energy Proton-Proton Scattering
• Cusps in K --> 3 pi decays
• Kaon-nucleon scattering lengths from kaonic deuterium experiments
• Decays of the pi+ pi- atom
• Light Fermion Finite Mass Effects in Non-relativistic Bound States
• On the Lifetime of the pi+pi- Atom
• Numerical analysis of the pi+pi- atom lifetime in ChPT
• Hadronic Atoms and Effective Interactions
• 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
• Effective Field Theory Approach to Pionium
• Electromagnetic Corrections to Charged Pion Scattering at Low Energies
• Spectra and decays of pi pi and pi K atoms
• Partial wave analysis of pbar-p to Lambdabar-Lambda
• Relativistic corrections to the Pionium Lifetime
• Gauge symmetry, chirality and parity violation in four-particle systems: Coulomb's law as a universal molecular function
• Hadronic Atoms
• Hadronic potentials from effective field theories
• Size of Isospin Breaking in Charged K(L4) Decay
• Energy and decay width of the pi-K atom