A new formulae study for the (n,2p) reaction cross-section systematics at 14-15 MeV

Area of Science:

• Nuclear Physics
• Nuclear Reactions
• Cross-Section Calculations

Background:

• Accurate cross-section calculations are crucial for understanding particle-induced nuclear excitation.
• Systematics in nuclear reaction cross-sections require reliable empirical formulas for predictive power.

Purpose of the Study:

• To develop new empirical formulas for (n, 2p) reaction cross sections at 14-15 MeV incident neutron energy.
• To investigate the dependence of these cross sections on the (N-Z)/A asymmetry parameter.
• To reveal the systematics of (n, 2p) reactions within specific mass ranges.

Main Methods:

• Modification of the original Levkovski formula to obtain asymmetry parameters.
• Application of the least square fitting method to analyze EXFOR data.
• Examination of statistical dependence (R-squared) for the 29≤A≤159 mass range.

Main Results:

• New empirical formulas were derived for mass ranges 29≤A≤159, 29≤A≤103, and 133≤A≤159.
• The formulas demonstrate a clear dependence on the modified (N-Z)/A asymmetry parameter.
• Calculated results show good agreement with existing EXFOR data for 29≤A≤159 and 29≤A≤103.

Conclusions:

• The developed empirical formulas provide a reliable method for predicting (n, 2p) reaction cross sections.
• The study successfully established systematics for (n, 2p) reactions based on nuclear asymmetry.
• The findings contribute to a better understanding of nuclear reaction mechanisms and cross-section behavior.