Abstract
In this study we have explored 6Li + 7Li fusion evaporation reactions cross sections dependencies on both nuclear level density and various spin combination effects. The reaction cross section was calculated in the energy range of 0.1–16 MeV projectile of 6Li on the fixed target of 7Li. The excited compound nucleus (13C) can decay into various channels, and its decay rate in any given channel is proportional to the available phase space, i.e., the corresponding level density of it which is explained in the present study. In the present study, LISE++, PACE4, NRV and GEMINI codes were used to determine cross section of evaporation residues cross sections of 13C.
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Author contributions: H. Aksakal and E. Yildiz both wrote the manuscript text and used the simulation codes to obtain presented results. All the authors reviewed the manuscript.
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Research funding: None declared.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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Availability of data and materials: All of the data generated or analysed during this study are included in this article. In case, they can also be made available by the corresponding author on reasonable request
References
Abdel-Kariem, S.E. (2006). DWBA of the reaction 9Be(p, α)6Li at E P = 18.6∼50 MeV. Turk. J. Phys. 30: 1–14.Search in Google Scholar
Ali, S., Ahmad, T., Kumar, K., Gull, M., Rizvi, I.A., Agarwal, A., Ghugre, S.S., Sinha, A.K., and Chaubey, A.K. (2018). Role of partial linear momentum transfer on incomplete fusion reaction. Eur. Phys. J. A 54: 1–10, https://doi.org/10.1140/epja/i2018-12491-8.Search in Google Scholar
Ali, S., Ahmad, T., Kumar, K., Rizvi, I.A., Agarwal, A., Ghugre, S.S., Sinha, A.K., and Chaubey, A.K. (2014). Effect of projectile break-up threshold energy on incomplete fusion at energy ≈ 4–7 MeV/nucleon. J. Mod. Phys. 05: 2063–2074, https://doi.org/10.4236/jmp.2014.518202.Search in Google Scholar
Bohr, N. (1936). Neutron capture and nuclear constitution. Nature 137: 344–348, https://doi.org/10.1016/S1876-0503(08)70464-X.Search in Google Scholar
Boyd, R.N., Brune, C.R., Fuller, G.M., and Smith, C.J. (2010). New nuclear physics for big bang nucleosynthesis. Phys. Rev. 82: 1–12, https://doi.org/10.1103/PhysRevD.82.105005.Search in Google Scholar
Fröbrich, P. and Lipperheide, R. (1996). Theory of nuclear reactions. Oxford University Press, Oxford, pp. 343–357.Search in Google Scholar
Gavron, A. (1980) PACE4, Available at: https://lise.nscl.msu.edu/pace4.html, https://www.nndc.bnl.gov/.Search in Google Scholar
Hughes, D.J., Garth, R.C., and Levin, J.S. (1953). Fast neutron cross sections and nuclear level density. Phys. Rev. 91: 1423–1429, https://doi.org/10.1103/PhysRev.91.1423.Search in Google Scholar
Kaplan, A., Özdoğan, H., Aydin, A., and Tel, E. (2013). Photo-neutron cross section calculations of several structural fusion materials. J. Fusion Energy 32: 344–349, https://doi.org/10.1007/s10894-012-9575-8.Search in Google Scholar
Kaplan, A., Şekerci, M., Çapalı, V., and Özdoğan, H. (2016). Computations of (α,xn) reaction cross-section for 107,109Ag coated materials with possible application in accelerators and nuclear systems. J. Fusion Energy 35: 715–723, https://doi.org/10.1007/s10894-016-0096-8.Search in Google Scholar
Kaplan, A., Şekerci, M., Çapalı, V., and Özdoğan, H. (2017). Photon induced reaction cross-section calculations of several structural fusion materials. J. Fusion Energy 36: 213–217, https://doi.org/10.1007/s10894-017-0141-2.Search in Google Scholar
Krane, K.S. (1987). Introductory nuclear physics. John Wiley & Sons, Inc., Weinheim.Search in Google Scholar
Martz, H.E., Lanier, R.G., Mann, L.G., Sheline, R.K., Chemutty, N., Struble, G.L., and Stoffl, W. (1985). The 152,154Eu(t, a) Reactions: Studies of 11/2 bands in 151Sm and 153Sm. Nucl. Phys. 439: 299–316.10.1016/0375-9474(85)90433-6Search in Google Scholar
Özdoğan, H., Şekerci, M. and Kaplan, A. (2019). Investigation of gamma strength functions and level density models effects on photon induced reaction cross–section calculations for the fusion structural materials 46,50Ti, 51V, 58Ni and 63Cu. Appl. Radiat. Isot. 143: 6–10, https://doi.org/10.1016/j.apradiso.2018.10.011.Search in Google Scholar PubMed
Özdoğan, H., Şekerci, M., Sarpün, H., and Kaplan, A. (2018). Investigation of level density parameter effects on (p,n) and (p,2n) reaction cross–sections for the fusion structural materials 48Ti, 63Cu and 90Zr. Appl. Radiat. Isot. 140: 29–34, https://doi.org/10.1016/j.apradiso.2018.06.013.Search in Google Scholar PubMed
Özdoğan, H., Üncü, Y.A., Şekerci, M., and Kaplan, A. (2021). Estimations of level density parameters by using artificial neural network for phenomenological level density models. Appl. Radiat. Isot. 169: 1–12, https://doi.org/10.1016/j.apradiso.2020.109583.Search in Google Scholar PubMed
Plasil, F. (1980). Angular momentum effets in fusion-fission and fusion-evaporation reactions. J. Phys. Colloq. 41: C10-183–C10-199.10.1051/jphyscol:19801020Search in Google Scholar
Şekerci, M., Özdoǧan, H., and Kaplan, A. (2020). Level density model effects on the production cross-section calculations of some medical isotopes via (α, xn) reactions where x = 1–3. Mod. Phys. Lett. 35: 2050202-1-2050202-13, https://doi.org/10.1142/S0217732320502028.Search in Google Scholar
Tripathi, V., Navin, A., Mahata, K., Ramachandran, K., Chatterjee, A., and Kailas, S. (2002). Angular momentum and cross sections for fusion with weakly bound nuclei: breakup, a coherent effect. Phys. Rev. Lett. 88: 4, https://doi.org/10.1103/PhysRevLett.88.172701.Search in Google Scholar PubMed
Wilczyński, J. (1973). Calculations of the critical angular momentum in the entrance reaction channel. Nucl. Phys. A 216: 386–394, https://doi.org/10.1016/0375-9474(73)90474-0.Search in Google Scholar
Wilczynski, J., Siwek-Wilczynska, K., van Driel, J., Gonggrijp, S., Hageman, D.C.J.M., Janssens, R.V.F., Lukasiak, J., and Siemssen, R.H. (1980). Incomplete-fusion reactions in 14N+159Tb system and a “Sum–Rule model” for fusion and incomplete fusion reactions. Phys. Rev. Lett. 45: 606, https://doi.org/10.1103/PhysRevLett.45.606.Search in Google Scholar
Yiğit, M. (2018). Analysis of cross sections of (n,t) nuclear reaction using different empirical formulae and level density models. Appl. Radiat. Isot. 139: 151–158, https://doi.org/10.1016/j.apradiso.2018.05.008.Search in Google Scholar PubMed
Yilmaz, M. and Gönül, B. (2000). The effect of iterative solutions in the quasi-adiabatic treatment of transfer reactions involving deuterons. Turk. J. Phys. 24: 93–104.Search in Google Scholar
Zagrebaev, V.I., Denikin, A.S., Karpov, A.V., Alekseev, A.P., Naumenko, M.A., Rachkov, V.A., and Samarin, V.V. (1999). NRV. Available at: <http://nrv.jinr.ru>.Search in Google Scholar
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