Bound-to-continuum potential model for the ( <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>γ</mml:mi></mml:mrow></mml:math> ) reactions of the CNO nucleosynthesis cycle

The study of CNO cycle involves the examination proton radiative capture, or $(p,\gamma)$ reactions below 2 MeV. astrophysical $\mathcal{S}$ factor characterizing reaction is usually reduced to electric dipole transition $E1$ from scattering state bound state. In this work, partial and single-particle wave functions in matrix element are obtained single self-consistent mean-field potential deduced Skyrme Hartree-Fock calculation. factors were successfully reproduced. calculation discrete continuum a promising approach for microscopic analysis nucleon-induced nuclear astrophysics.