On the scattering of scalar mesons
The classical formulæ for the scattering of scalar mesons by a neutron are obtained taking account of the radiation damping. The neutron is assumed to possess a ‘charge’ and a ‘dipole moment’. The scattering due to each of these is treated separately. It is found that the formulæ for the scattering due to the dipole has exactly the same form as the one obtained by Bhabha for the transverse mesons. Due to numerical factors the scattering for large energies of the incident mesons is double, and for small energies half that of transverse vector-mesons.
The scalar and pseudo-scalar charge and dipole interactions are considered in the quantum theory. The scalar dipole interaction does not give rise to any scattering at all, the whole of the scattering being due to the pseudo-scalar interaction. In this case the quantum-theoretical formulæ agree with the corresponding classical ones if the effect of radiation reaction is neglected in the latter.