A method for determining the electric multipole polarizabilities of the proton is presented. In particular, the following theoretical values for the electric dipole and quadrupole polarizabilities of the proton are obtained: ${\kappa }_{E1\mathrm{}}\simeq 0.75\times {10}^{-3\mathrm{}}$ ${\mathrm{fm}}^3$ and ${\kappa }_{E2\mathrm{}}\simeq -0.7\mathrm{}\times {10}^{-3\mathrm{}}$ ${\mathrm{fm}}^5$. This results in the static approximation from the inelastic contribution of the two-photon exchange process to the scattering of a scalar charged particle by the proton.

• Received 3 December 1974

DOI:https://doi.org/10.1103/PhysRevD.12.896