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New semi-empirical formulae for (n,d) cross sections at 14-15 MeV
1Department of Physics, Faculty of Arts and Science, Aksaray University, Aksaray, Turkey.
Summary
New semi-empirical formulas accurately predict neutron-deuteron (n,d) reaction cross sections at 14-15 MeV. These formulas, based on reaction Q-value and mass number, offer a good fit with existing data.
Area of Science:
- Nuclear Physics
- Neutron Reactions
Background:
- Predicting neutron-deuteron (n,d) reaction cross sections is crucial for nuclear applications.
- Existing methods may lack accuracy or require extensive computational resources.
Purpose of the Study:
- To develop novel semi-empirical formulae for predicting (n,d) cross sections.
- To provide a simpler and accurate method for estimating these cross sections at specific neutron energies.
Main Methods:
- Utilized a systematic approach based on the reaction Q-value and mass number (A).
- Analyzed (n,d) reactions using systematics derived from statistical theory.
- Compared the developed formulae with existing cross-section data in scientific literature.
Main Results:
- The proposed semi-empirical formulae demonstrate a good fit with experimental (n,d) cross-section data.
- The formulae's accuracy is primarily dependent on the reaction Q-value and mass number.
Conclusions:
- The new semi-empirical formulae offer a reliable tool for predicting (n,d) cross sections at 14-15 MeV.
- This work simplifies the prediction of neutron-induced deuteron reactions, aiding nuclear data evaluation.
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