  We investigate an idea, how to use analysis of the bremsstrahlung photons to
study the internal structure of proton under nuclear reaction with nucleus. A
new model is constructed to describe bremsstrahlung emission of photons which
accompanies the scattering of protons off nuclei. Our bremsstrahlung formalism
uses many-nucleon basis that allows to analyze coherent and incoherent
bremsstrahlung emissions. As scattered proton can be under the influence of
strong forces and produces the largest bremsstrahlung contribution to full
spectrum, we focus on accurate determination of its quantum evolution
concerning nucleus basing on quantum mechanics and scattering theory. For such
a motivation, we at first time generalize Pauli equation with interacting
potential describing evolution of fermion inside strong field, with including
the electromagnetic form-factors of nucleon basing on DIS theory. Anomalous
magnetic momenta of nucleons reinforce our motivation to develop such a
formalism, starting from low energy. The full bremsstrahlung spectrum in our
model (after renormalization) is dependent on form-factors of the scattered
proton. For calculations, we choose the scattering of $p + ^{197}{\rm Au}$ at
proton beam energy of 190~MeV, where experimental bremsstrahlung data were
obtained with high accuracy. We show that the full bremsstrahlung spectrum is
sensitive to the form-factors of the scattered proton. In the limit without
such form-factors, we reconstruct our previous result (where internal structure
of the scattered proton was not studied).
