Study of the systematic errors introduced by the statistical model in the measurement of ¹²C + ¹³C fusion reaction

The online γ-rays and activity decay of ²⁴Na residual produced in the ¹²C + ¹³C reaction are both measured using thick and thin targets in the center-of-mass energy of 4 ∼ 6 MeV. The total fusion cross section is derived from the γ-ray yields using the theoretical correction calculated by TALYS. Comparing the cross sections obtained by different methods in previous experiments, the systematic errors in the total cross section determination by branching the online γ-ray yields and the ²⁴Na channel cross section are both determined to be 14%. (authors)