Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-02-26
Nucl.Phys.A794:73-86,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
20 pages
Scientific paper
10.1016/j.nuclphysa.2007.07.007
We give the conversion equations which lead from experimental values of the $3p \to 1s$ transition energy in pionic hydrogen and the total width of the $1s$ level to values of the s-wave threshold scattering parameters for the processes $\pi^-p \to \pi^-p$ and $\pi^-p \to \pi^0n$ respectively. Using a three-channel potential model, we then calculate the electromagnetic corrections to these quantities, which remove the effects of the Coulomb interaction, the external mass differences and the presence of the $\gamma n$ channel. We give the s-wave scattering parameters obtained from the present experimental data and these electromagnetic corrections. Finally we discuss the implications for isospin invariance.
Gashi A.
Matsinos Evangelos
Oades G. C.
Rasche Guenther
Woolcock W. S.
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