Study of Fusion Reactions of Light Projectiles on Light and Medium Targets
Abstract
The fusion and breakup reactions of some light projectiles on light and medium targets using semi-classical and full quantum mechanical approaches were adopted to calculate the total cross section σfus and the distribution of the fusion barrier Dfus for the systems 12C + 48Ti, 16O+63Cu, 35Cl+25Mg and 35Cl+27Al. The coupling between the channel’s contribution from elastic and breakup channels were considered to show their importance in the calculations. The results compared with the measured data and shows reasonable matching, and it is shown that the coupling considered is very essential to be considered, especially below the Coulomb barrier Vb.
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References
R. Fereidonnejad, H. Sadeghi, and M. Ghambari, Astrophys. Space Sci. 363(3), 50 (2018). https://doi.org/10.1007/s10509-018-3272-7
P.R.S. Gomes, J. Lubian, L.F. Canto, D.R. Otomar, D.R.M. Junior, P.N. de Faria, R. Linares, et al., “Reactions with Weakly Bound Nuclei, at near Barrier Energies, and the Breakup and Transfer influences on the Fusion and Elastic Scattering”, Few-Body Syst. 57, 165-176, (2016). https://doi.org/10.1007/s00601-015-1036-2
K.S. Choi, M.K. Cheoun, W.Y. So, K. Hagino, and K.S. Kim, “Coupled-channels analyses for 9,11Li + 208Pb fusion reactions with multi-neutron transfer couplings”, Physical Letters B, 780, 455–460, (2018). https://doi.org/10.1016/j.physletb.2018.03.049
L.F. Canto, P.R.S. Gomes, J. Lubian, L.C. Chamon, and E. Crema, Journal of Physics G: Nuclear and Particle Physics, 36, 015109 (2009). https://doi.org/10.1016/j.physletb.2018.03.049
M. Veselský, “Nuclear reactions with heavy ion beams”, Act. Phys. Slo. 63, 1 (2013). https://doi.org/10.2478/apsrt-2013-0001
P.J. Siemens, “Liquid–gas phase transition in nuclear matter”, Lett. Nat. 305, 410 (1983). https://doi.org/10.1038/305410a0
L.C. Vaz, J.M. Alexander, and G.R. Satchler, “Fusion barriers, empirical and theoretical: Evidence for dynamic deformation in subbarrier fusion”, Phys. Rep. 69, 373-339 (1981). https://doi.org/10.1016/0370-1573(81)90094-6
G. Pollarolo, and A. Winther, “Fusion excitation functions and barrier distributions: A semiclassical approach”, Phys. Rev. C, 62, 054611 (2000). https://doi.org/10.1103/PhysRevC.62.054611
M. Beckerman, “Subbarrier fusion of atomic nuclei”, Phys. Rep. 129, 145 (1985). https://doi.org/10.1016/0370-1573(85)90058-4
H. Esbensen, “Fusion and zero-point motions”, Nucl. Phys. A, 352, 147 (1981). https://doi.org/10.1016/0375-9474(81)90565-0
A.B. Balantekin, and N. Takigawa, “Quantum tunnelling in nuclear fusion”, Rev. Mod. Phys. 70, 77 (1998). https://doi.org/10.1103/RevModPhys.70.77
N. Keeley, R. Raabe, N. Alamanos, and J.L Sida, “Fusion and direct reactions of halo nuclei at energies around the Coulomb barrier”, Prog. Part. Nucl. Phys. 59, 579 (2007). https://doi.org/10.1016/j.ppnp.2007.02.002
L.F. Canto, P.R.S. Gomes, R. Donangelo, and M.S. Hussein, “Fusion and breakup of weakly bound nuclei”, Phys. Rep. 424, 1 111 (2006). https://doi.org/10.1016/j.physrep.2005.10.006
K. Alder, and A. Winther, Electromagnetic Excitations, (North- Holland, Amsterdam, 1975).
M.S. Mehemed, S.M. Obaid, and F.A. Majeed, “Coupled channels calculation of fusion reaction for selected medium systems,” Int. J. Nucl. Energy Sci. Technol. 14(2), 165-180 (2020). https://doi.org/10.1504/IJNEST.2020.112162
P.R.S. Gomes, M.D. Rodríguez, G.V. Martí, I. Padron, and L.C. Chamon, “Effect of the breakup on the fusion and elastic scattering of weakly bound projectiles on 64Zn”, Phys. Rev. C, 71, 034608 (2005). https://doi.org/10.1103/PhysRevC.71.034608
L.F. Canto, P.R.S. Gomes, R. Donangelo, and M.S. Hussein, “Recent developments in fusion and direct reactions with weakly bound nuclei”, Phys. Rep. 596, 1-86 (2015). https://doi.org/10.1016/j.physrep.2015.08.001
C.A. Bertulani, and L.F. Canto, “Semiclassical calculation of Coulomb break-up of weakly-bound nuclei”, Nucl. Phys. A, 539, 163-176 (1992). https://doi.org/10.1016/0375-9474(92)90240-K
P. Gomes, T. Penna, E. Chagas, R.L. Neto, J. Acquadro, P. Pascholati, E. Crema, et al., “Fusion of 59Co with light projectiles at near barrier energies”, Nucl. Phys. A, 534, 429 (1991). https://doi.org/10.1016/0375-9474(91)90510-D
D.J. Griffiths, and D.F. Schroeter, Introduction to quantum mechanics, (University Printing House, Cambridge, United Kingdom, 2018). https://doi.org/10.1017/9781316995433
M.S. Hussein, M.P. Pato, L.F. Canto, and R. Donangelo, “Real part of the polarization potential for 11Li-induced fusion reactions”, Phys.Rev. C, 47, 2398-2400 (1992). https://doi.org/10.1103/physrevc.47.2398
W.H.Z. Cárdenas, L.F. Canto, R. Donangelo, M.S. Hussein, J. Lubian, and A. Romanelli, “Approximations in fusion and breakup reactions induced by radioactive beams”, Nucl. Phys. A, 703, 633-648, (2002). https://doi.org/10.1016/S0375-9474(01)01672-4
F.M. Hussain, F.A. Majeed, and Y.A. Abdul-Hussien, “Description of coupled-channel in Semiclassical treatment of heavy ion fusion reactions”, IOP Conference Series: Materials Science and Engineering, 571, 12113, (2019). https://doi.org/10.1088/1757-899X/571/1/012113
F.A. Majeed, F.M. Hussain, and Y.A. Abdul-Hussien, “Enhanced calculations of fusion barrier distribution for heavy-ion fusion reactions using Wong formula”, Int. J. Nucl. Energy Sci. Technol. 13, 226-267, (2019). http://dx.doi.org/10.1504/IJNEST.2019.103237
F.M. Hussain, F.A. Majeed, and Y.A. Abdul-Hussien, “Coupling channels mechanism of complete fusion reactions in some light stable nuclei”, AIP Conference Proceedings, 2144, 30003 (2019). https://doi.org/10.1063/1.5123073
A.A. Ibraheem, and A. Bonaccors, “Coulomb breakup effects on the optical potentials of weakly bound nuclei”, Nucl. Phys. A, 748, 414-432 (2005). https://doi.org/10.1016/j.nuclphysa.2004.12.036
J.F. Liang, and C. Signorini, “Fusion induced by radioactive ion beams”, Int. J. Mod. Phys. E, 14, 1121-1150 (2005). https://doi.org/10.1142/S021830130500382X
M. Abramowitz, and I. Stegun, editors, Handbook of Mathematical Functions, (US Gov. Printing House, Washington, 1972).
N. Rowley, G.R. Satchler, and P.H. Stelson, “On the “distribution of barriers” interpretation of heavy-ion fusion”, Phys. Lett. B, 254, 25 (1991). https://doi.org/10.1016/0370-2693(91)90389-8
A.J. Najim, F.A. Majeed, and K.H. Al-Attiyah, “Improved calculation of fusion barrier distribution”, IOP Conference Series: Materials Science and Engineering, 571, 012124 (2019). http://dx.doi.org/10.1088/1757-899X/571/1/012124
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