In this study,we have conducted an assessment of direct capture cross sections, astrophysical S-factors, phase shifts, and their derivatives at low energies within the framework of the potential model. We present the first investigation of the 10B(p, γ )11C reaction’s cross sections and astrophysical S-factors using the Woods–Saxon potential. The 10B(p, γ )11C reaction plays a key role in the production of carbon-11 in stars, providing insights into stellar evolution and the synthesis of elements in the universe. Our analysis focuses on the astrophysical S-factor for the electric dipole (E1) transition within the energy range of 0–500 keV. The chosen parametrization reproduces the available experimental and theoretical data for cross sections and astrophysical S-factors in this reaction accurately. Furthermore, we have extrapolated the S-factor values to zero energy (S(0)) for the (5/2) + to (3/2) −, (5/2) − and (7/2) − energy levels. The calculated S(0) values are found to be 9.25 keV barn, 9.37 keV barn, and 8.54 keV barn, respectively.
