Study of Properties for Ca (a, n)Ti Reactions and n-Yield for Ca Isotopes (A=41-50)

Abstract

In this study, (⁴⁴Ti – ⁵³Ti) isotopes for one of intermediate elements (A>40) from Ca (?, n)Ti reactions with alpha energy from (10 to 50) MeV are used according to the available data of reaction cross sections obtained from Lab (TENDL-2012). The more recent cross sections data of Ca (?, n)Ti reaction is reproduced in fine steps of (0.5MeV), by using (MATLAB R2008b) program. These cross sections together with the stopping powers which calculated from the Zeigler formula by using SRIM-2013 have been used to calculate the n-yield for reaction by depend on Ca isotopes (⁴¹Ca – ⁵⁰Ca) as targets, and then clarify the behavior between the energies which corresponding to these cross sections and neutron yield for isotopes, and then we drowned the relationship between the n-yield for these reactions and symmetry at these energies. Was obtained on mathematical formulas and find constants those equations and these equations were calculated yield neutron and comparing with theoretical values ??also studying the properties of these isotopes, calculated binding energy and reduced mass and also were calculated Q- value and threshold energy for each reaction and the relative abundance of the isotopes of entering and leaving for alpha reactions. And then drawing scheduled and discusses the results.

Keyword: Binding energy, Cross-Section, Neutron Yield, stopping power, Asymmetry and empirical formula.