(,) ve (,) Reaksiyonları için İstatistiksel Model Bileşenlerinin Optimum Değerlerinin İncelenmesi

Year 2024, , 131 - 142, 15.03.2024

Halim Büyükuslu

https://doi.org/10.31466/kfbd.1365386

Abstract

Tesir kesit hesaplamalarında yer alan çeşitli modellerin/fonksiyonların farklı reaksiyon türlerine, enerji aralıklarına ve kütlelere göre test edilmesi, nükleer modellerin daha fazla geliştirilmesi için önemlidir. Bu çalışmada, nükleer seviye yoğunluğu, -çekirdek optik modeli ve γ-ray strength fonksiyonu gibi nükleer bileşenlerin tesir kesitine bağımlılığı istatistiksel model penceresinde sistematik hesaplamalar yapılarak gösterildi. Astrofizik reaksiyonlar arasında önemli bir yere sahip olan (,) ve (,) reaksiyonları için, çeşitli hedef çekirdeklerde, reaksiyon tesir kesiti hesaplamaları yapıldı. Teorik model hesaplamaları deneysel verilerle karşılaştırıldı. Deneysel ve hesaplanmış tesir kesitlerin her seti için ortalama sapma faktörü değerleri belirlendi. Tüm alfa ve gama ışını gelme enerjileri ve tüm hedef çekirdekler için en uygun modeller/fonksiyonlar belirlendi.

Keywords

( ) ve ( ) reaksiyonları, alfa optik modeli, seviye yoğunluğu, strength fonksiyonları, Talys 1.96

Studying optimum values of statistical model ingredients for (,) and (,) reactions

Abstract

In order to further develop nuclear models/functions, it is important to test various models and functions included in cross-section calculations based on different reaction types, energy ranges, and masses. In this study, the dependence of nuclear ingredients such as level density, -nucleus optical model and γ-ray strength function on the cross-section were illustrated by making systematic calculations in the statistical model window. Reaction cross-section calculations were systematically performed for (α,γ) and (γ,α) reactions, which hold significant importance in astrophysics, on various target nuclei. Theoretical model calculations were compared with experimental data. For each set of experimental and calculated cross sections, the average deviation factor values were determined. The best-fit models and functions for all incoming alpha and gamma energies and for all target nuclei were identified.

Keywords

( ) and ( ) reactions, alpha optical models, level densities, strength functions, Talys 1.96

References

• Avrigeanu, V., Avrigeanu, M., and Mănăilescu, C. (2014). Further explorations of the α-particle optical model potential at low energies for the mass range A ≈ 45 –209. Physical Review C, 90(4), 044612.
• Avrigeanu, V., Hodgson, P. E., and Avrigeanu, M. (1994). Global optical potentials for emitted alpha particles. Physical Review C, 49(4), 2136–2141.
• Axel, P. (1962). Electric Dipole Ground-State Transition Width Strength Function and 7-Mev Photon Interactions. Physical Review, 126(2), 671–683.
• Brink, D. M. (1957). Individual particle and collective aspects of the nuclear photoeffect. Nuclear Physics, 4(C), 215–220.
• Büyükuslu, H. (2019). Parametrization study for the estimation of light particles (p, d, 3He, α) induced total reaction cross sections of target mass greater than 9 within the energy range of 10–200 MeV. Radiation Physics and Chemistry, 165, 108431.
• Capote, R., Herman, M., Obložinský, P., Young, P. G., Goriely, S., Belgya, T., Ignatyuk, A. V., Koning, A. J., Hilaire, S., Plujko, V. A., Avrigeanu, M., Bersillon, O., Chadwick, M. B., Fukahori, T., Ge, Z., Han, Y., Kailas, S., Kopecky, J., Maslov, V. M., … Talou, P. (2009). RIPL – Reference Input Parameter Library for Calculation of Nuclear Reactions and Nuclear Data Evaluations. Nuclear Data Sheets, 110(12), 3107–3214.
• Daoutidis, I., and Goriely, S. (2012). Large-scale continuum random-phase approximation predictions of dipole strength for astrophysical applications. Physical Review C, 86(3), 034328.
• Demetriou, P., Grama, C., and Goriely, S. (2002). Improved global α-optical model potentials at low energies. Nuclear Physics A, 707(1–2), 253–276.
• Dilg, W., Schantl, W., Vonach, H., and Uhl, M. (1973). Level density parameters for the back-shifted fermi gas model in the mass range 40 < A < 250. Nuclear Physics A, 217(2), 269–298.
• Gilbert, A., and Cameron, A. G. W. (1965). A composite nuclear-level density formula with shell corrections. Canadian Journal of Physics, 43(8), 1446–1496.
• Goriely, S. (1998). Radiative neutron captures by neutron-rich nuclei and the r-process nucleosynthesis. Physics Letters B, 436(1–2), 10–18.
• Goriely, S., Hilaire, S., and Koning, A. J. (2008). Improved microscopic nuclear level densities within the Hartree-Fock-Bogoliubov plus combinatorial method. Physical Review C, 78(6), 064307.
• Goriely, S., Hilaire, S., Péru, S., and Sieja, K. (2018). Gogny-HFB+QRPA dipole strength function and its application to radiative nucleon capture cross section. Physical Review C, 98(1), 014327.
• Goriely, S., and Khan, E. (2002). Large-scale QRPA calculation of E1-strength and its impact on the neutron capture cross section. Nuclear Physics A, 706(1–2), 217–232.
• Goriely, S., Khan, E., and Samyn, M. (2004). Microscopic HFB + QRPA predictions of dipole strength for astrophysics applications. Nuclear Physics A, 739(3–4), 331–352.
• Goriely, S., and Plujko, V. (2019). Simple empirical E1 and M1 strength functions for practical applications. Physical Review C, 99(1), 014303.
• Goriely, S., Tondeur, F., and Pearson, J. M. (2001). A hartree–fock nuclear mass table. Atomic Data and Nuclear Data Tables, 77(2), 311–381.
• Gruppelaar, H., Nagel, P., and Hodgson, P. E. (1986). Pre-equilibrium processes in nuclear reaction theory. The state-of-the-art and beyond. 9:7.
• Gyürky, Gy., Mohr, P., Fülöp, Zs., Halász, Z., Kiss, G. G., Szücs, T., and Somorjai, E. (2012). Relation between total cross sections from elastic scattering and α-induced reactions: The example of 64Zn. Physical Review C, 86(4), 041601.
• Hauser, W., and Feshbach, H. (1952). The Inelastic Scattering of Neutrons. Physical Review, 87(2), 366–373.
• Hilaire, S., Girod, M., Goriely, S., and Koning, A. J. (2012). Temperature-dependent combinatorial level densities with the D1M Gogny force. Physical Review C, 86(6), 064317.
• Ignatyuk, A. V., Weil, J. L., Raman, S., and Kahane, S. (1993). Density of discrete levels in Sn116. Physical Review C, 47(4), 1504–1513.
• Kiss, G. G., Szücs, T., Mohr, P., Török, Zs., Huszánk, R., Gyürky, Gy., and Fülöp, Zs. (2018). α -induced reactions on In115: Cross section measurements and statistical model analysis. Physical Review C, 97(5), 055803.
• Kiss, G. G., Szücs, T., Rauscher, T., Török, Z., Fülöp, Z., Gyürky, G., Halász, Z., and Somorjai, E. (2014). Alpha induced reaction cross section measurements on 162Er for the astrophysical γ process. Physics Letters B, 735, 40–44.
• Koning, A. J., and Delaroche, J. P. (2003). Local and global nucleon optical models from 1 keV to 200 MeV. Nuclear Physics A, 713(3–4), 231–310.
• Koning, A. J., and Duijvestijn, M. C. (2004). A global pre-equilibrium analysis from 7 to 200 MeV based on the optical model potential. Nuclear Physics A, 744, 15–76.
• Koning, A. J., Hilaire, S., and Duijvestijn, M. C. (2007, May 21). TALYS-1.0. ND2007.
• Kopecky, J., and Uhl, M. (1990). Test of gamma-ray strength functions in nuclear reaction model calculations. Physical Review C, 41(5), 1941–1955.
• McFadden, L., and Satchler, G. R. (1966). Optical-model analysis of the scattering of 24.7 MeV alpha particles. Nuclear Physics, 84(1), 177–200.
• Mohr, P. (2011). Total reaction cross sections from 141Pr (α,α) 141Pr elastic scattering and α-induced reaction cross sections at low energies. Physical Review C, 84(5), 055803.
• Mohr, P. (2013). Total reaction cross section σreac of α-induced reactions from elastic scattering: The example 140Ce (α,α) 140Ce. Physical Review C, 87(3), 035802.
• Mohr, P., Fülöp, Zs., Gyürky, Gy., Kiss, G. G., and Szücs, T. (2020). Successful Prediction of Total α-Induced Reaction Cross Sections at Astrophysically Relevant Sub-Coulomb Energies Using a Novel Approach. Physical Review Letters, 124(25), 252701.
• Mohr, P., Galaviz, D., Fülöp, Zs., Gyürky, Gy., Kiss, G. G., and Somorjai, E. (2010). Total reaction cross sections from elastic α-nucleus scattering angular distributions around the Coulomb barrier. Physical Review C, 82(4), 047601.
• Mohr, P., Gyürky, Gy., and Fülöp, Zs. (2017). Statistical model analysis of α-induced reaction cross sections of Zn64 at low energies. Physical Review C, 95(1), 015807.
• Nolte, M., Machner, H., and Bojowald, J. (1987). Global optical potential for α particles with energies above 80 MeV. Physical Review C, 36(4), 1312–1316.
• Otuka, N., Dupont, E., Semkova, V., Pritychenko, B., Blokhin, A. I., Aikawa, M., Babykina, S., Bossant, M., Chen, G., Dunaeva, S., Forrest, R. A., Fukahori, T., Furutachi, N., Ganesan, S., Ge, Z., Gritzay, O. O., Herman, M., Hlavač, S., Kato, K., … Zhuang, Y. (2014). Towards a More Complete and Accurate Experimental Nuclear Reaction Data Library (EXFOR): International Collaboration Between Nuclear Reaction Data Centres (NRDC). Nuclear Data Sheets, 120, 272–276.
• Rapp, W., Heil, M., Hentschel, D., Käppeler, F., Reifarth, R., Brede, H. J., Klein, H., and Rauscher, T. (2002). α- and neutron-induced reactions on ruthenium isotopes. Physical Review C, 66(1), 015803.
• Rauscher, T., Dauphas, N., Dillmann, I., Fröhlich, C., Fülöp, Z., and Gyürky, G. (2013). Constraining the astrophysical origin of the p-nuclei through nuclear physics and meteoritic data. Reports on Progress in Physics, 76(6), 066201.
• Szücs, T., Kiss, G. G., Gyürky, G., Halász, Z., Fülöp, Z., and Rauscher, T. (2018). Cross section of α-induced reactions on iridium isotopes obtained from thick target yield measurement for the astrophysical γ process. Physics Letters B, 776, 396–401.
• Watanabe, S. (1958). High energy scattering of deuterons by complex nuclei. Nuclear Physics, 8(C), 484–492.
• Wilmes, S., Wilmes, V., Staudt, G., Mohr, P., and Hammer, J. W. (2002). The 15N (α,γ) 19F reaction and nucleosynthesis of 19F. Physical Review C, 66(6), 065802.