A Study the Nuclear Potential Using Quasi-Elastic Scattering Calculation for the 9,10,11Be+208Pb Reactions

  • Ali A. Rakhees Department of Physics, College of Education for pure Science, University of Babylon, Babylon, Iraq
  • Khalid S. Jassim Department of Physics, College of Education for pure Science, University of Babylon, Babylon, Iraq https://orcid.org/0000-0002-5990-3277
Keywords: Coupled-channels calculations, Heavy-ion fusion reactions, quasi-elastic scattering, deep sub-barrier energies


Specific systematic studies on the nuclear potential parameter for the heavy-ion reactions, which includes the systems, have been achieved by using large-angle quasi-elastic scattering at deep sub-barrier energies close to the Coulomb barrier height. Single-channel (SC) and coupled-channel calculations have been carried out to elicit the nuclear potential. The chi-square method χ2 has been used to find the best value of the nuclear potential compared to the experimental data. The best values of the nuclear potential were found from the calculations of the coupled channels for an inert projectile and a vibrating target for systems: 9Be+208Pb,10Be+208Pb, 11Be+208Pb, which are equal to 45 MeV,65 MeV,53 MeV, respectively.


Download data is not yet available.


R. Naik, PhD Thesis, “Studying fusion reactions for effect of P (CN) on heavy nucleus formation and for nuclear structure effects,” Oregon State University, 2007.

Hayef, Nagham H and Jassim, Khalid S.Coupled channels for quasi-elastic scattering of determining diffuseness parameters in Woods-Saxon potential for nuclear reaction. AIP Publishing LLC2023.

Z.M. Cinan, B. Erol, T. Baskan, and A.H. Yilmaz, “Heavy-Ion Fusion Reaction Calculations: Establishing the Theoretical Frameworks for 111” In Radionuclide over the Coupled Channel Model,” Energies, 14(24), 8594 (2021). https://doi.org/10.3390/en14248594

F.A. Majeed, K.S. Jassim, and N.H. Abbas, “Role of Coupled-Channels in Heavy Ions Reactions at the Coulomb Barrier,” Int. J. Sci. Res. 3, 315-319 (2014). https://livedna.net/?dna=964.25272

H. Timmers, J.R. Leigh, M. Dasgupta, D.J. Hinde, R.C. Lemmon, J.C. Mein, C.R. Morton, et al., “Probing fusion barrier distributions with quasi-elastic scattering,” Nuclear Physics A, 584(1), 190-204 (1995). https://doi.org/10.1016/0375-9474(94)00521-N

K.S. Jassim, and Q.J. Tarbool, “A Study of the surface diffuseness of inter-nucleus potential with quasi-elastic scattering for the 32,34

S+208 82Pb reactions,” Al-Bahir Journal for Engineering and Pure Sciences, 1(1-2), 125-140 (2015). https://www.iasj.net/iasj/pdf/a338dda2a3e54bda

H[7] K. Hagino, and N. Rowley, “Large-angle scattering and quasielastic barrier distributions,” Phys. Rev. C, 69, 054610 (2004). https://doi.org/10.1103/PhysRevC.69.054610

M. M.Evers, Ph.D thesis, “Systematics of near-barrier nuclear reactions using quasi-elastic scattering”, The Australian National University (2010).

Q.J. Tarbool, K.S. Jassim, and A.A. Abojassim, ”Surface diffuseness parameter with quasi-elastic scattering for some heavy-ion systems,” International Journal of Nuclear Energy Science and Technology, 13(2), 2019. https://www.inderscienceonline.com/doi/pdf/10.1504/IJNEST.2019.100758

N. Wang, and M. Liu, and Y.-X. Yang, “Heavy-ion fusion and scat- tering with Skyrme energy density functional,” Sci. China Series G: Physics, Mechanics and Astronomy, 2009.Sci. China Ser. G-Phys. Mech. Astron. f52, 1554–1573 (2009). https://doi.org/10.1007/s11433-009-0205-z

V.I. Zagrebaev, ”Understanding the barrier distribution function derived from backward-angle quasi-elastic scattering,” Phys. Rev. C, 78, 047602 (2008), https://doi.org/10.1103/PhysRevC.78.047602

M. Zadro, P. Figuera, A. Di Pietro, M. Fisichella, M. Lattuada, T. L¨onnroth, M. Milin, et al., ”Quasielastic backscattering and barrier distributions for the 6, 7 Li+ 64 Zn systems,” Physical Review C, 87 054606 (2013).


P.R.S. Gomes, D.R. Otomar, T. Correa, L.F. Canto, J. Lubian, R. Linares, D.H. Luong, et al., ”Complete fusion enhancement and suppression of weakly bound nuclei at near barrier energies,” J. Phys. G: Nucl. Part. Phys. 39 115103 (2012). https://doi.org/10.1088/0954-3899/39/11/115103

Y.Y. Yang, J.S. Wang, Q. Wang, D.Y. Pang, J.B. Ma, M.R. Huang, P. Ma, et al., ”Quasi-elastic scattering of 10,11C and 10B from a natPb target,” Phys. Rev. C, 90, 014606 (2014). https://doi.org/10.1103/PhysRevC.90.014606

K. Hagino, N. Rowley, and A.T. Kruppa, ”A program for coupled-channel calculations with all order couplings for heavy-ion fusion reactions,” Computer Physics Communications, 123(1-3), 143-152 (1999). https://doi.org/10.1016/S0010-4655(99)00243-X

M. Dasgupta, D.J. Hinde, J.O. Newton, and K. Hagino, ”The nuclear potential in heavy-ion fusion,” Progress of Theoretical Physics Supplement, 154, 209–216 (2004). https://doi.org/10.1143/PTPS.154.209

L.R. Gasques, M. Evers, D.J. Hinde, M. Dasgupta, P.R.S. Gomes, R.M. Anjos, M.L. Brown, et al., ”Systematic study of the nuclear potential through high precision back-angle quasi-elastic scattering measurements,” Phys. Rev. C, 76, 024612 (2007). https://doi.org/10.1103/PhysRevC.76.024612

M.V. Andres, N. Rowley, and M.A. Nagarajan, ”Effect of deformation on the elastic and quasielastic scattering of heavy ions near the Coulomb barrier,” Physics Letters B, 202(3), 292-295 (1988). https://doi.org/10.1016/0370-2693(88)90473-X

W. Reisdorf, ”Heavy-ion reactions close to the Coulomb barrier,” J. Phys. G: Nucl. Part. Phys. 20, 1297 (1994). https://doi.org/10.1088/0954-3899/20/9/004

K. Washiyama, K. Hagino, and M. Dasgupta, ”Probing surface diffuseness of nucleus-nucleus potential with quasielastic scattering at deep sub-barrier energies,” Phys. Rev. C, 73, 034607 (2006). https://doi.org/10.1103/PhysRevC.73.034607

RIBLL Collaboration, ”Scattering of the halo nucleus 11Be from a lead target at 3.5 times the Coulomb barrier energy,” Physics Letters B, 811, 135942 (2020). https://doi.org/10.1016/j.physletb.2020.135942

How to Cite
Rakhees, A. A., & Jassim, K. S. (2023). A Study the Nuclear Potential Using Quasi-Elastic Scattering Calculation for the 9,10,11Be+208Pb Reactions. East European Journal of Physics, (3), 198-206. https://doi.org/10.26565/2312-4334-2023-3-17