Microscopic study of the giant multipole resonances in light deformed nuclei via radiative capture reactions. II

Abstract

Within the framework of a microscopic theory for the multipole resonances in light deformed nuclei, the radiative capture reaction $^{19}\mathrm{F}(p, \ensuremath{\gamma})^{20}\mathrm{Ne}$ is being studied. Accent is being put on improving the formalism of the theory as well as on gauging the relative importance of the quadrupole transitions as compared to the dominant dipole ones. From the results obtained for the cross sections and angular distributions it is seen that the reaction runs predominantly through the giant dipole states. The isoscalar quadrupole resonance is only weakly excited even though intermediate states with large $B(E2)$ values are available. The result may help to understand why in proton radiative capture reactions one detects a different $E2$-strength distributions as compared to what is observed in $\ensuremath{\alpha}$-induced experiments.NUCLEAR STRUCTURE $^{19}\mathrm{F}$, $^{19}\mathrm{Ne}$, $^{20}\mathrm{Ne}$; calculated spectra, $E1$ and $E2$ transitions. Angular momentum projected deformed ph model.NUCLEAR REACTIONS $^{19}\mathrm{F}(p, \ensuremath{\gamma})$; calculated cross sections to ground and first excited states. Giant dipole and quadrupole resonances in $^{20}\mathrm{Ne}$.