Model of the bremsstrahlung emission accompanying interactions between protons and nuclei from low up to intermediate energies: role of magnetic emission

Abstract

A new model of the bremsstrahlung emission which accompanies proton decay and collisions of protons off nuclei in the energy region from the lowest up to intermediate, has been developed. This model includes spin formalism, potential approach for description of interaction between protons and nuclei, and operator of emission includes component of the magnetic emission (defined on the basis of Pauli equation). In the problem of the bremsstrahlung during the proton decay in the first time a role of the magnetic emission is studied using such a model. For the studied $^{146}{\rm Tm}$ nucleus it has been studied the following: (1) How much does the magnetic emission change the full bremsstrahlung spectrum? (2) At which angle is the magnetic emission the most intensive relatively electric one? (3) Is there some space region where the magnetic emission increases strongly relatively electric one? (4) How intensive is the magnetic emission in the tunneling region? (5) Which values has the probability at its maximum and at zero energy limit of the emitted photons? It is demonstrated that the model is able to describe enough well experimental data of the bremsstrahlung emission which accompanies collisions of protons off the $^{9}{\rm Be}$, $^{12}{\rm C}$ and $^{208}{\rm Pb}$ nuclei at the incident energy $T_{\rm lab}=140$ MeV (at the photon energy up to 120 MeV).Comment: 25 pages, 23 figures. The following changes are included: (1) comments on why model does not describe well experimental data for 64-Cu (than data for 12-C, 107-Ag obtained by the same group of experimentalists) at 72 MeV; (2) analysis of multipolar components, their role in angular analysis; (3) minor corrections of definitions of photons quantum numbers and bremsstrahlung probabilit