Isospin breaking in pion-nucleon scattering at threshold by radiative processes
Mar, 2005
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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 F_pi^2f_1=-25.8(8) MeV.- 13.75.Gx
- 11.55.Ds
- 11.10.Ef
- 36.10.Gv
- pi- p: inelastic scattering
- pi-: absorption
- photon: hadroproduction
- Delta(1232)0: hadroproduction
- pi- p: elastic scattering
- pi nucleon: scattering length
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