The extraction of hadronic parameters from experiments on pionium
arXiv:nucl-th/9704017 · doi:10.1016/S0375-9474(97)00645-3
Abstract
Experimental values of the lifetime of the 1s level of pionium and of the difference between the energies of the 2s and 2p levels yield values of the a(0c) and a(cc) elements of the s-wave scattering matrix for the 2-channel (pi+ pi-, pi0 pi0) system at the pi+ pi- threshold. We develop a method for obtaining the isospin invariant quanties a20 - a00 and 2a00 + a20 from a(0c) and a(cc). We emphasize that the isospin invariant scattering lengths a00 and a20 universally used in the literature cannot be considered to be purely hadronic quantities.
17 pages, Revtex, 1 postscript figure, new version of figure which removes ghostscript problems
Cited by in corpus (15)
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- 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
- Relativistic effects in the pionium lifetime
- Numerical analysis of the pi+pi- atom lifetime in ChPT
- Decay widths and energy shifts of pi pi and pi K atoms
- (Pi+Pi-) Atom in Chiral Perturbation Theory
- Effective Field Theory Approach to Pionium
- Electromagnetic Corrections to Charged Pion Scattering at Low Energies
- New light on electromagnetic corrections to the scattering parameters obtained from experiments on pionium
- Hadronic potentials from effective field theories
- Energy and decay width of the pi-K atom
- Matching in Nonrelativistic Effective Quantum Field Theories