Description of the $^{17}$F(p,$\gamma$)$^{18}$Ne radiative capture reaction in the continuum shell model
Résumé
The shell model embedded in the continuum is applied to calculate the astrophysical S-factor and the reaction rate for the radiative proton capture reaction $^{17}$F(p,$\gamma$)$^{18}$Ne. The dominant contribution to the cross-section at very low energies is due to M1 transitions $J_i^$\pi$ = $2^+$ $\rightarrow$ $J_f^$\pi$ = $2_1^$+ whose magnitude is controlled by a weakly bound $2_2^+$ state at the excitation energy $E_x$ = 3.62 MeV.