Radiative corrections to low-energy ππ scattering |
| |
Authors: | Francesc S Roig Arthur R Swift |
| |
Institution: | Department of Physics and Astronomy, University of Massachusetts, Amherst, Massachusetts 01002, USA |
| |
Abstract: | Radiative corrections to low-energy ππ scattering are calculated. A chiral SU(2) × SU(2) Lagrangian is used to describe low-energy scattering. This strong interaction Lagrangian is modified in the presence of the electromagnetic field in a gauge invariant way. It is found that photons do not probe the strong vertex. Corrections to the cross sections are calculated to O(α). All the ultra-violet divergences cancel, and the results are independent of cut-off parameters. Corrections to the Weinberg scattering lengths of the order of 1% are defined by removal of the Coulomb pole terms. The field theoretic calculation is compared with a potential theory approach. It is argued that the potential theory calculation of radiative corrections is more reliable. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |