  In this paper a role of many-nucleon dynamics in formation of the compound
$^{5}{\rm Li}$ nucleus in the scattering of protons off $\alpha$-particles at
the proton incident energies up to 20 MeV is investigated. We propose a
bremsstrahlung model allowing to extract information about probabilities of
formation of such nucleus on the basis of analysis of experimental
cross-sections of the bremsstrahlung photons. In order to realize this
approach, the model includes elements of microscopic theory and also
probabilities of formation of the short-lived compound nucleus. Results of
calculations of the bremsstrahlung spectra are in good agreement with the
experimental cross-sections.
