(Pi+Pi-) Atom in Chiral Perturbation Theory

Abstract

Hadronic (Pi+Pi-) atom is studied in the relativistic perturbative approach based on the Bethe-Salpeter equation. The general expression for the atom lifetime is derived. Lowest-order corrections to the relativistic Deser-type formula for the atom lifetime are evaluated within the Chiral Perturbation Theory.

36 pages, LaTeX-file (revtex.sty)

References in corpus (9)

• Elastic $\pi \pi$ scattering to two loops
• The Low Energy $\pi \pi$ Amplitude to One and Two Loops
• Virtual Photons in Low Energy pi-pi Scattering
• Determination of Two-Loop $\pi \pi$ Scattering Amplitude Parameters
• Relativistic effects in the pionium lifetime
• Lifetime of $({\pi }^{+}{\pi }^{-})$ Atom: Analysis of the Role of Strong Interactions
• The extraction of hadronic parameters from experiments on pionium
• Perturbative framework for the pi(+)pi(-) atom
• Theoretical Predictions for Pionium Searches

Cited by in corpus (23)

• ππscattering
• Ground-state energy of pionic hydrogen to one loop
• First measurement of the ${\pi }^{+}{\pi }^{-}$ atom lifetime
• Decays of the pi+ pi- atom
• Light Fermion Finite Mass Effects in Non-relativistic Bound States
• pi(-)p atom in ChPT: strong energy-level shift
• 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
• Non-Relativistic Pion Interactions and the Pionium Lifetime
• Electromagnetic Corrections to Charged Pion Scattering at Low Energies
• The pionium lifetime in generalized chiral perturbation theory
• Detection of ${\pi }^{+}{\pi }^{-}$atoms with the DIRAC spectrometer at CERN
• Relativistic corrections to the Pionium Lifetime
• Hadronic Atoms
• New light on electromagnetic corrections to the scattering parameters obtained from experiments on pionium
• Hadronic potentials from effective field theories
• Exclusive photon-fusion production of even-spin resonances and exotic QED atoms in high-energy hadron collisions
• First measurement of a long-lived ${\pi }^{+}{\pi }^{-}$ atom lifetime
• Energy and decay width of the pi-K atom
• Pionium lifetime and ππscattering lengths in generalized chiral perurbation theory
• Possible manifestation of the 2p pionium in particle physics processes
• Electromagnetic Corrections to Low-Energy pi-pi Scattering