Investigation of Cross-sections for (α, γ) Reactions on p-nuclei 90Zr, 121Sb, 151Eu, and 162Er using Different Models of Radiative Strength Functions
Main Article Content
Abstract
In this work, we examine cross sections for (α, γ) reactions on p-nuclei, including 90Zr, 121Sb, 151Eu, and 162Er at astrophysically relevant energies. By using our recently developed α optical model potential (α-OMP), the (α, γ) cross sections were calculated within six models of radiative strength functions (RSF) which consisted of the microscopic HFB-QRPA model based on the BSk-14 Skyrme force, the HF-BCS theory using Skyrme parameters, the EGLO model, SMLO model, the empirical SMLO (SMLOg) and global semi-microscopic (D1M-QRPAg) models. The numerical results is then compared to the measured data of (α, γ) cross sections. For the considered (α, γ) reactions, the EGLO, SMLO, and HFB results are typically greater than the measured data. In addition, the comparison has indicated that the RSF models of SMLOg and D1M-QRPAg best fit the measured data with rms smaller than 0.2 within our proposed α-OMP. Therefore, for the (α, γ) reactions on the selected targets, RSF models of SMLOg and D1M-QRPAg are strongly recommended. The results are significant for a further systematic examination to evaluate which RSF model is most appropriate for studying (α, γ) reactions on p-nuclei in general.
Keywords:
p-nuclei, α optical model potential, radiative strength function.
References
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[5] T. Rauscher, A. Heger, R. Hoffman, S. E. Woosley, Nucleosynthesis in Massive Stars with Improved Nuclear and Stellar Physics, The Astrophysical Journal, Vol. 576, No. 1, 2002, pp. 323-348, https://iopscience.iop.org/article/10.1086/341728.
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[8] T. Rauscher, G. G. Kiss, G. Gyurky, A. Simon, Z. Fulop, E. Somorjai, Suppression of the Stellar Enhancement Factor and the Reaction 85Rb(p,n)85Sr, Physical Review C, Vol. 80, No. 3, 2009, pp. 035801-12, https://doi.org/10.1103/PhysRevC.80.035801.
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[11] S. Watanabe, High Energy Scattering of Deuterons By Complex Nuclei, Nuclear Physics, Vol. 8, 1958,
pp. 484-492, https://doi.org/10.1016/0029-5582(58)90180-9.
[12] N. Nhu Le, N. Quang Hung, Improved Version of the Α-nucleus Optical Model Potential for Reactions Relevant to the Γ-process, Physical Review C, Vol. 105, No. 1, 2022, pp. 014602-014609, https://doi.org/10.1103/PhysRevC.105.014602.
[13] V. Avrigeanu, M. Avrigeanu, C. Manailescu, Further Explorations of the Α-particle Optical Model Potential at Low Energies for the Mass Range, Physical Review C, Vol. 90, No. 4, 2014, pp. 044612-13, https://doi.org/10.1103/PhysRevC.90.044612.
[14] M. Avrigeanu, V. Avrigeanu, Α-Particle Optical Potential Tests Below the Coulomb Barrier, Physical Review C, Vol. 79, No. 2, 2009, pp. 027601-4, https://doi.org/10.1103/PhysRevC.79.027601.
[15] M. Avrigeanu, V. Avrigeanu, Α-particle Nuclear Surface Absorption Below the Coulomb Barrier in Heavy Nuclei, Physical Review C, Vol. 82, No. 1, 2010, pp. 014606-7, https://doi.org/10.1103/PhysRevC.82.014606.
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[17] J. Kopecky, M. Uhl, R. E. Chrien, Radiative Strength in the Compound Nucleus 157Gd, Physical Review C,
Vol. 47, No. 1, 1993, pp. 312-11, https://doi.org/10.1103/PhysRevC.47.312.
[18] V. A. Plujko et al., Workshop on Photon Strength Functions Relate Topics, Prague, Czech Republic, 2008,
pp. 1-33.
[19] A Database Hosted at the IAEA Server, Www-Nds.Iaea.Org/Psfdatabase, 2022.
[20] S. Goriely et al., Reference Database for Photon Strength Functions, the European Physical Journal A, Vol. 55, No. 3, 2019, pp. 172-29, https://doi.org/10.1140/epja/i2019-12840-1.
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[22] H. Lu, A. Marchix, Y. Abe, D. Boilley, KEWPIE2: A Cascade Code for the Study of Dynamical Decay of Excited Nuclei, Computer Physics Communications, Vol. 200, 2016, pp. 381-19, https://doi.org/10.1016/j.cpc.2015.12.003.
[23] P. Descouvemont, An R-matrix Package for Coupled-channel Problems in Nuclear Physics, Computer Physics Communications, Vol. 200, 2016, pp. 199-21, https://doi.org/10.1016/j.cpc.2015.10.015.
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[25] S. J. Quinn et al., (α,γ) Cross Section Measurements in the Region of Light P Nuclei, Physical Review C, Vol. 92, No. 4, 2015, pp. 045805-8, https://doi.org/10.1103/PhysRevC.92.045805.
[26] Z. Korkulu et al., Investigation of α-induced Reactions on Sb Isotopes Relevant to the Astrophysical Γ Process, Physical Review C, Vol. 97, No. 4, 2018, 045803-10, https://doi.org/10.1103/PhysRevC.97.045803.
[27] G. Gyurky, Z. Elekes, J. Farkas, Z. Fulop, Z. Halasz, G. G. Kiss, E. Somorjai, T. Szucs, R. T. Guray, N. Ozkan, Alpha-induced Reaction Cross Section Measurements on 151Eu for the Astrophysical Γ-process, Journal of Physics G, Vol. 37, No. 11, 2010, pp. 115201-16, https://doi.org/10.1088/0954-3899/37/11/115201.
[28] G. G. Kiss, T. Szucs, T. Rauscher, Zs. Torok, Zs. Fulop, Gy. Gyurky, Z. Halasz, E. Somorjai, Alpha Induced Reaction Cross Section Measurements on 162Er for the Astrophysical Gamma Process, Physics Letters B, Vol. 735, No. 40, 2014, pp. 40-44, https://doi.org/10.1016/j.physletb.2014.06.011.