Theoretical Cross-Section Calculations for the ( $$\mathbf{\alpha}$$ , $$\boldsymbol{n}$$ ) and ( $$\mathbf{\alpha}$$ ,
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HEORETICAL AND MATHEMATICAL PHYSICS
Theoretical Cross-Section Calculations for the (α, n ) and (α, 2n 2n) 46 50 54 93 Reactions on Ti, Cr, Fe, and Nb Isotopes * Mert Sekerci ¸
Suleyman ¨ Demirel University, Faculty of Arts and Sciences, Department of Physics, Isparta, 32260 Turkey Received December 9, 2019; revised December 27, 2019; accepted January 9, 2020
Abstract—The employment of the fusion mechanism for the energy production is a promising solution to the continuously growing global energy demand. The correct material selection for this cutting edge technology is just as important as the efforts to understand the related nuclear reaction mechanisms. A value which is relevant to nuclear reactions and is of considerable importance is the cross-section of the reaction. Among many parameters, which affect the theoretical calculations of this quantity, level density models and alpha optical model potentials have played an important role, due to their direct effects on the calculations. By considering the importance of the materials used in the fusion technology and the aforementioned parameters, the aim of this work is to study the effects of level density models, alpha optical model potentials and their combinational usage in the cross-section theoretical calculations on the alpha particle induced reactions for 46 Ti, 50 Cr, 54 Fe and 93 Nb isotopes. The examined reaction routes are limited to the alpha particle induced single and double neutron emitting reactions. All calculations were performed by using the 1.9 version of the TALYS code, in which six level density models and eight alpha optical model potentials are available. The results of the present work are compared with the existing literature data, taken from the Experimental Nuclear Reaction Database (EXFOR) library, by performing a mean weighted deviation analysis calculation. The more consistent results in comparison with the experimental data were obtained with the combinational use of the models. Keywords: cross-section, nuclear reaction, Experimental Nuclear Reaction Database. DOI: 10.3103/S0027134920020095
1. INTRODUCTION Recent research and report studies have shown that global demand for energy has increased rapidly over the last few decades and the expectation for the forthcoming years will be the continuation of this trend [1]. A possible solution to this great amount of energy request can be shown as the adaptation of the nuclear fusion mechanism for the energy production, which is accompanied by many attractive features, such as the possibility of large scale power generation with fewer resource, immense use, being free from emission of greenhouse gases, nonexistence of diverse wastes and less chance of severe accident [2, 3]. Some, among the many studies carried out to benefit from the fusion mechanism are related to the material development and to the study of the nuclear reaction mechanisms. The use of theoretical studies in cases where experimental studies cannot be performed to understand the nuclear reaction mechanisms is accepted in the l
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