Scaling behaviour for the inner-shell polarizational bremsstrahlung cross section

A simple method for the calculation of the polarizational bremsstrahlung (BrS) cross sections relying on the use of the Coulomb Green function is developed. This method is applicable to the description of photon emission in collisions of charged particles with non-relativistic atoms in the range of photon frequencies comparable to or above the ionization potentials of the inner atomic shells. We have established the scaling law for the generalized polarizability of an atom and investigated the scaling behaviour of the polarizational bremsstrahlung cross sections. Using our method, we have calculated the polarizational BrS cross sections for collisions of a proton with the Ne, Na, P and Ar atoms and compared them with those obtained in the Hartree-Fock approximation. Both approaches show good agreement. (author)