A new empirical systematic for (n, 2p) reaction cross sections around 14 MeV

Area of Science:

• Nuclear Physics
• Nuclear Reactions
• Empirical Modeling

Background:

• Accurate prediction of nuclear reaction cross sections is crucial for nuclear science and technology.
• Existing empirical rules for (n, 2p) reactions have limitations, particularly around 14 MeV.
• Statistical theory of nuclear reactions provides a foundation for understanding reaction mechanisms.

Purpose of the Study:

• To propose a new empirical systematic for predicting (n, 2p) cross sections.
• To extend existing empirical rules based on the statistical theory of nuclear reactions.
• To provide a reliable predictive tool for (n, 2p) reaction channels with limited experimental data.

Main Methods:

• Developed a new empirical formula by fitting experimental cross section data.
• Incorporated key parameters: mass number, reaction Q-value, threshold energy, and projectile energy.
• Analyzed experimental data for (n, 2p) reactions specifically around 14 MeV.
• The formula was simplified using two fitting parameters.

Main Results:

• The new empirical formula demonstrates a good fit for predicting (n, 2p) cross sections around 14 MeV.
• Predictions from the new formula were compared favorably with existing cross section measurements.
• The proposed systematic shows better agreement than other empirical formulas in the literature.

Conclusions:

• The developed empirical systematic provides an accurate method for predicting (n, 2p) cross sections near 14 MeV.
• This work serves as a valuable reference for the (n, 2p) reaction channel, addressing data scarcity.
• The findings contribute to the advancement of nuclear reaction modeling and prediction capabilities.