Isospin breaking in pion-nucleon scattering at threshold by radiative processes
T. E. O. Ericson, A. N. Ivanov
Abstract
We investigate the dispersive contribution by radiative processes such as (pi- proton to neutron gamma) and (pi- proton to Delta gamma) to the pion-nucleon scattering lengths of charged pions in the heavy baryon limit. They give a large isospin violating contribution in the corresponding isoscalar scattering length, but only a small violation in the isovector one. These terms contribute 6.3(3)% to the 1s level shift of pionic hydrogen and give a chiral constant Fpi2f1=-25.8(8) MeV.
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