1
|
Tel E, Bülbül A, Yiğit M, Sarpün İH, Kavun Y. Simple parametrization of (n,d) cross sections using Flerov and Talyzin's formula. Appl Radiat Isot 2023; 192:110613. [PMID: 36527852 DOI: 10.1016/j.apradiso.2022.110613] [Citation(s) in RCA: 4] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/01/2022] [Revised: 12/01/2022] [Accepted: 12/08/2022] [Indexed: 12/13/2022]
Abstract
This article aims at providing new cross section data from empirical formulas for the (n,d) reactions of which experimental measurements at 14-15 MeV energy are not available or limited. If the experimental data for a nuclear reaction at a given energy are scarce, theoretical calculations and also developing empirical formulas have a critical importance. Here, we propose a new empirical formula of (n,d) reactions for analysis of the relationship between the experimental data and the parameters of empirical formula. The present formula was obtained by using the non-elastic Flerov and Talyzin expression to calculate (n,d) cross sections at 14-15 MeV. Due to the good overall agreement with the measured cross sections, our empirical formula with polynomial fitting model including asymmetry parameter can be useful in planning new experiments of (n,d) reactions for energies around 14 MeV.
Collapse
Affiliation(s)
- Eyyup Tel
- Department of Physics, Faculty of Arts and Sciences, Osmaniye Korkut Ata University, 80000, Osmaniye, Turkey
| | - Ahmet Bülbül
- Department of Physics, Faculty of Arts and Sciences, Osmaniye Korkut Ata University, 80000, Osmaniye, Turkey
| | - Mustafa Yiğit
- Department of Physics, Faculty of Arts and Sciences, Aksaray University, 68100, Aksaray, Turkey.
| | - İsmail Hakkı Sarpün
- Department of Physics, Science Faculty, Akdeniz University, 07070, Antalya, Turkey
| | - Yusuf Kavun
- Department of Medical Imaging Techniques, Kahramanmaras Sutcu Imam University, 46050, Kahramanmaras, Turkey
| |
Collapse
|
2
|
Özdoğan H, Üncü YA, Şekerci M, Kaplan A. Estimations for (n,α) reaction cross sections at around 14.5MeV using Levenberg-Marquardt algorithm-based artificial neural network. Appl Radiat Isot 2023; 192:110609. [PMID: 36508959 DOI: 10.1016/j.apradiso.2022.110609] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/01/2022] [Revised: 12/02/2022] [Accepted: 12/05/2022] [Indexed: 12/12/2022]
Abstract
Prediction of neutron-induced reaction cross-sections at around the 14.5 MeV neutron energy is crucial to calculate nuclear transmutation rates, nuclear heating, and radiation damage from gas formation in fusion reactor technology In this research, the new approach of (n,α) reaction cross-section is presented. It has been assessed by utilizing the artificial neural network (ANN) when compared to more advanced algorithms, the Levenberg-Marquardt algorithm-based ANN can be exceedingly fast. The correlation coefficients for a training R-value of 0.99283, a validation R-value of 0.991190, a testing R-value of 0.97337, and an overall R-value of 0.98515 demonstrate that Levenberg-Marquardt algorithm-based ANN is well suited for this purpose. . The obtained results were compared to theoretical calculations of TALYS 1.95 nuclear code. As a consequence, it has been demonstrated that the ANN model can be used to determine the systemic study for (n, α) reaction cross-sections.
Collapse
Affiliation(s)
- Hasan Özdoğan
- Antalya Bilim University, Vocational School of Health Services, Department of Medical Imaging Techniques, 07190, Antalya, Turkey.
| | - Yiğit Ali Üncü
- Akdeniz University, Vocational School of Technical Sciences, Department of Biomedical Equipment Technology, 07070, Antalya, Turkey
| | - Mert Şekerci
- Süleyman Demirel University, Faculty of Arts and Sciences, Department of Physics, 32260, Isparta, Turkey
| | - Abdullah Kaplan
- Süleyman Demirel University, Faculty of Arts and Sciences, Department of Physics, 32260, Isparta, Turkey
| |
Collapse
|
3
|
(d, 3n) Reaction cross-section calculation of some reactor materials. Appl Radiat Isot 2022; 190:110504. [DOI: 10.1016/j.apradiso.2022.110504] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/26/2022] [Revised: 09/15/2022] [Accepted: 09/27/2022] [Indexed: 11/19/2022]
|
4
|
Kavun Y, Vashi V, Makwana R. Investigation of (d, 3n) reaction cross section using theoretical nuclear codes calculations on some nuclear materials. Appl Radiat Isot 2022; 189:110426. [PMID: 36041248 DOI: 10.1016/j.apradiso.2022.110426] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/02/2022] [Revised: 08/11/2022] [Accepted: 08/15/2022] [Indexed: 11/27/2022]
Abstract
It is important to examine the effects of the nuclear reaction, which is used as a building material in nuclear reactors. Nuclear reactions occur as a result of the interaction between incident particles with the target nuclei. The charged particle-induced reactions have prime importance in understanding the reaction mechanism which can be applicable to understand the particles resulting from the reaction. It is useful to develop shielding the particle accelerators and fusion reactors. The present study contributes to providing the theoretical prediction of excitation functions for 112Cd (d, 3n)111In, 141Pr (d, 3n)140Nd, 167Er (d, 3n)166Tm, 197Au (d, 3n)196Hg and 209Bi (d, 3n)208Po reactions using theoretical model codes such as TALYS-1.95, EMPIRE-3.2.3, and ALICE-2014 within the incident deuteron energy range of threshold energy to 50 MeV. Also, newly developed (d, 3n) cross-section formula (Kavun, 2020) calculations have been performed for these reactions at 20 MeV of deuteron energy. Lastly, all calculated results have been compared with one another and with the previously published experimental data of the EXFOR database.
Collapse
Affiliation(s)
- Y Kavun
- Kahramanmaras Sutcu Imam University, Vocational School of Health Services, Dept. of Medical Imaging Tech., Kahramanmaras, Turkey.
| | - V Vashi
- Physics Department, Faculty of Science, The M. S. University of Baroda, Vadodara, 390020, India
| | - R Makwana
- Physics Department, Faculty of Science, The M. S. University of Baroda, Vadodara, 390020, India
| |
Collapse
|
5
|
Yiğit M. New semi-empirical formulae for (n,d) cross sections at 14-15 MeV. Appl Radiat Isot 2021; 176:109894. [PMID: 34418727 DOI: 10.1016/j.apradiso.2021.109894] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/14/2021] [Revised: 07/15/2021] [Accepted: 08/08/2021] [Indexed: 12/01/2022]
Abstract
The aim of this letter is to suggest new semi-empirical formulae for the prediction of (n,d) cross sections with a neutron energy of 14-15 MeV. In this context, the cross sections are calculated using systematic that is function only of the reaction Q-value and mass number A. The (n,d) reactions are analyzed by using the systematics based on the statistical theory. Thus, the present semi-empirical formulae compared with the cross section data in literature give a good fit for the prediction of the (n,d) cross sections at 14-15 MeV.
Collapse
Affiliation(s)
- Mustafa Yiğit
- Department of Physics, Faculty of Arts and Science, Aksaray University, Aksaray, Turkey.
| |
Collapse
|
6
|
Özdoğan H. Estimation of (n,p) reaction cross sections at 14.5 ∓0.5 MeV neutron energy by using artificial neural network. Appl Radiat Isot 2021; 170:109584. [PMID: 33445056 DOI: 10.1016/j.apradiso.2020.109584] [Citation(s) in RCA: 11] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/15/2020] [Revised: 11/19/2020] [Accepted: 12/30/2020] [Indexed: 11/25/2022]
Abstract
The aim of this study is to develop an accurate artificial neural network algorithm for the cross-section of (n,p) reactions at 14.5 ∓0.5 MeV neutron energy which is important to developing materials for fusion reactor design. The experimental data used at artificial Neural network calculations have been taken from the Experimental Nuclear Reaction Data (EXFOR) database. Bayesian algorithm has been used at training section of artificial neural network. Regression (R) values of artificial neural network calculations have been found as 0.99363, 0.98574 and 0.99257 for training, testing and all process respectively. In addition to artificial neural network calculations, TALYS 1.95 nuclear reaction code has been used to reproduce (n,p) reactions at 14.5 ∓0.5 MeV. Two-component exciton model and Constant Temperature Fermi Gas Model have been used as pre-equilibrium and level density models respectively. Mean square errors of our calculations have been found 48.51 and 495.06 for artificial neural network and TALYS 1.95 respectively. Artificial Neural network estimations have been compared and analyzed with the TALYS 1.95 calculations and the experimental data taken from EXFOR database.
Collapse
Affiliation(s)
- Hasan Özdoğan
- Antalya Bilim University, Vocational School of Health Services, Department of Medical Imaging Techniques, Antalya, Turkey.
| |
Collapse
|
7
|
A Study on the New Empirical Cross Section Formulae for (γ, p) Reactions at 20 ± 1 MeV Incident Energy. JOURNAL OF FUSION ENERGY 2018. [DOI: 10.1007/s10894-018-0184-z] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
|
8
|
Computations of (α,xn) Reaction Cross-Section for 107,109Ag Coated Materials with Possible Application in Accelerators and Nuclear Systems. JOURNAL OF FUSION ENERGY 2016. [DOI: 10.1007/s10894-016-0096-8] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
|
9
|
|
10
|
Yiğit M, Tel E. Reaction cross sections in the interactions of neutrons with Yttrium nucleus. J Radioanal Nucl Chem 2015. [DOI: 10.1007/s10967-015-4070-0] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
|
11
|
Study of Some Structural Fusion Materials for (n,2n) Reactions. JOURNAL OF FUSION ENERGY 2015. [DOI: 10.1007/s10894-015-9879-6] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
|
12
|
Demir B, Kaplan A, Çapalı V, Özdoğan H, Sarpün İH, Aydın A, Tel E. Neutron Production Cross-Section and Geant4 Calculations of the Structural Fusion Material 59Co for (α,xn) and (γ,xn) Reactions. JOURNAL OF FUSION ENERGY 2015. [DOI: 10.1007/s10894-015-9860-4] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
|
13
|
Reaction Cross-Section, Stopping Power and Penetrating Distance Calculations for the Structural Fusion Material 54Fe in Different Reactions. JOURNAL OF FUSION ENERGY 2014. [DOI: 10.1007/s10894-014-9809-z] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
|
14
|
Kaplan A, Çapalı V, Özdoğan H, Aydın A, Tel E, Sarpün İH. (3He,xn) Reaction Cross-Section Calculations for the Structural Fusion Material 181Ta in the Energy Range of 14–75 MeV. JOURNAL OF FUSION ENERGY 2014. [DOI: 10.1007/s10894-014-9705-6] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
|
15
|
Cross-Section Calculations on Several Structural Fusion Materials for (γ,3n) Reactions in the Photon Energy Range of 20–110 MeV. JOURNAL OF FUSION ENERGY 2014. [DOI: 10.1007/s10894-014-9670-0] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
|
16
|
Yiğit M, Tel E. Alpha Production Cross Sections for Some Target Fusion Structural Materials up to 35 MeV. JOURNAL OF FUSION ENERGY 2013. [DOI: 10.1007/s10894-012-9591-8] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
|
17
|
Kaplan A, Özdoğan H, Aydın A, Tel E. (γ,2n) Reaction Cross Section Calculations on Several Structural Fusion Materials. JOURNAL OF FUSION ENERGY 2012. [DOI: 10.1007/s10894-012-9590-9] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
|
18
|
Investigation of Neutron-Production Cross Sections of the Structural Fusion Material 181Ta for (α,xn) Reactions up to 150 MeV Energy. JOURNAL OF FUSION ENERGY 2012. [DOI: 10.1007/s10894-012-9581-x] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
|
19
|
Calculations of Double Differential Deuteron Emission Cross Sections at 62 MeV Proton Induced Reactions. JOURNAL OF FUSION ENERGY 2012. [DOI: 10.1007/s10894-012-9580-y] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
|
20
|
Photo-neutron Cross Section Calculations of Several Structural Fusion Materials. JOURNAL OF FUSION ENERGY 2012. [DOI: 10.1007/s10894-012-9575-8] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
|
21
|
Kaplan A, Özdoğan H, Aydın A, Tel E. Deuteron-Induced Cross Section Calculations of Some Structural Fusion Materials. JOURNAL OF FUSION ENERGY 2012. [DOI: 10.1007/s10894-012-9532-6] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
|
22
|
Tel E, Şahan M, Aydın A, Bölükdemir M, Şahan H, Uğur FA. Investigation of Some Structural Fusion Materials for (n, α) Reactions at the 14–15 MeV Energy Region. JOURNAL OF FUSION ENERGY 2010. [DOI: 10.1007/s10894-010-9337-4] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
|
23
|
Aydin A, Tel E, Şahan M. Calculation of Equilibrium and Pre-equilibrium 4He-Emission Spectra at 62 MeV Proton Incident Energy. JOURNAL OF FUSION ENERGY 2010. [DOI: 10.1007/s10894-010-9339-2] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
|
24
|
Aydin A, Türeci G, Tel E, Kaplan A. Investigation of Deuteron Emission Spectra at 62 MeV Proton Incident Energy. JOURNAL OF FUSION ENERGY 2010. [DOI: 10.1007/s10894-010-9283-1] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
|
25
|
The Equilibrium and Pre-equilibrium Triton Emission Spectra of Some Target Nuclei for (n,xt) Reactions up to 45 MeV Energy. JOURNAL OF FUSION ENERGY 2010. [DOI: 10.1007/s10894-010-9278-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
|
26
|
Aydin A. Pre-Equilibrium 3He-Emission Spectra at 62 MeV Proton Incident Energy. JOURNAL OF FUSION ENERGY 2010. [DOI: 10.1007/s10894-010-9309-8] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
|
27
|
Investigation of Some Structural Fusion Materials for (n, 2n) Reactions up to 40 MeV. JOURNAL OF FUSION ENERGY 2010. [DOI: 10.1007/s10894-010-9286-y] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
|
28
|
Tel E. Study on Some Structural Fusion Materials for (n,p) Reactions up to 30 MeV Energy. JOURNAL OF FUSION ENERGY 2010. [DOI: 10.1007/s10894-010-9285-z] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
|
29
|
Tel E, Kaplan A, Aydın A, Büyükuslu H, Demirkol İ, Arasoğlu A. Triton Emission Spectra in Some Target Nuclei Irradiated by Ultra-Fast Neutrons. JOURNAL OF FUSION ENERGY 2010. [DOI: 10.1007/s10894-010-9281-3] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
|
30
|
Calculations of Excitation Functions of Some Structural Fusion Materials for (n, t) Reactions up to 50 MeV Energy. JOURNAL OF FUSION ENERGY 2010. [DOI: 10.1007/s10894-010-9277-z] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
|
31
|
The Study of (n,d) Reaction Cross Sections for New Evaluated Semi-Empirical Formula Using Optical Model. JOURNAL OF FUSION ENERGY 2009. [DOI: 10.1007/s10894-009-9211-4] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
|
32
|
New Evaluated Semi-Empirical Formula Using Optical Model for 14–15 MeV (n, t) Reaction Cross Sections. JOURNAL OF FUSION ENERGY 2009. [DOI: 10.1007/s10894-009-9206-1] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
|
33
|
Application of asymmetry depending empirical formulas for (p,nα) reaction cross-sections at 24.8 and 28.5MeV incident energies. Appl Radiat Isot 2009; 67:272-6. [DOI: 10.1016/j.apradiso.2008.11.001] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/15/2008] [Revised: 10/28/2008] [Accepted: 11/02/2008] [Indexed: 11/19/2022]
|