Investigation of 9,10Be weakly bound nuclei elastically scattered from 208Pb


  • Sh. Hamada Faculty of Science, Tanta University
  • Awad Ibraheem Faculty of Science King Khalid University



elastic scattering, phenomenological potential, Cluster folding, Coupled channels, Breakup potential


Experimental angular distributions for the weakly bound 9,10Be nuclei elastically scattered from 208Pb target at various energies are investigated using phenomenological and microscopic potentials. The considered data in this study is: 9Be+208Pb in the energy range of 37.0–75.0 MeV and 10Be+208Pb in the energy range of 38.4–43.9 MeV. The performed analysis reflects the nature and peculiarities of the considered projectiles. For the 9Be+208Pb nuclear system, the data showed a typical Fresnel diffraction scattering pattern and the Coulomb rainbow phenomenon is well presented due to the interference between partial waves refracted by the Coulomb and nuclear potentials. The 7Li+d and 9Be+n cluster structures of 9Be and 10Be, respectively are studied. The extracted renormalization factors for the real part of potential constructed on the basis of double folding as well as cluster folding could reflect the nature of the loosely bound projectiles.


L. F. Canto, P. R. S. Gomes, R. Donangelo, and M. S.Hussein,Fusion and breakup of weakly bound nuclei, Phys. Rep. 424 1 (2006), physrep.2005.10.006.

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),

N. Keeley, N. Alamanos, K. W. Kemper, and K. Rusek,Elastic scattering and reactions of light exotic beams, Prog. Part. Nucl. Phys. 63, 396 (2009),

L. F. Canto, P. R. S. Gomes, R. Donangelo, J. Lubian, and M. S. Hussein, Recent developments in fusion and direct reactions with weakly bound nuclei, Phys. Rep. 596, 1 (2015)

J. J. Kolata, V. Guimarães, and E. F. Aguilera,Elastic scattering, fusion, and breakup of light exotic nuclei, Eur. Phys. J. A 52 (2016) 123,

G. Montagnoli and A. M. Stefanini,Recent experimental results in sub- and near-barrier heavy-ion fusion reactions, Eur. Phys. J. A 53 169 (2017),

A. Bonaccorso,Direct reaction theories for exotic nuclei: An introduction via semi-classical methods, Prog. Part. Nucl. Phys. 101, 1 (2018),

V. Jha, V. V. Parkar, and S. Kailas, Incomplete fusion reactions using strongly and weakly bound projectiles, Phys. Rep. 845, 1 (2020),

R. J. Woolliscroftet al.,Elastic scattering and fusion of 9Be + 208 Pb : Density function dependence of the double folding renormalization, Phys. Rev. C 69 (2004) 044612

J.J.Kolata, et al.,Elastic scattering of 10Be on 208 Pb near the Coulomb barrier , Physical Review,C69 (2004) 047601,

Ning Yu et al.,Unusual potential behavior for the weakly bound nucleus 8 be in elastic scattering from 208 Pb and 209 Bi near the threshold, Journal of Physics: Nuclear Physics, G37 (2010) 075108,

F.F.Duan et al.,Scattering of the halo nucleus 11Be from a lead target at 3.5 times the Coulomb barrier energy,Physics Letters B811(2020)135942,

G. R. Satchler and W. G. Love,Folding model potentials from realistic interactions for heavy-ion scattering, phys. Rep. 55 (1979) 183,

G. R. Satchler, The optical potential for 9 be scattering: Another anomaly,Phys. Lett. B 83 (1979) 284, https://doi. org/10.1016/0370-2693(79)91108-0.

J.S.Eck, T.R.Ophel, P.D.Clark, D.C.Weisser , Classical and potential descriptions of 9 be+28 Si and 9 be + 40 Ca elastic scattering cross sections at E9be=45 and 60 MeV, Nuclear Physics A334(1980)519,

V. Hnizdo, J. Szymakowski, K. W. Kemper, and J. D. Fox,Folding-model description of elastic and inelastic scattering of 9 be by 40,44 Ca and 39 K at 40 MeV ; Phys. Rev C24(1981)1495.

Awad A. Ibraheem et al.,Elastic and Inelastic Scattering of 9,10,11Be by 64Zn and 120Sn Nuclei at Different Energies, Braz. J. Phys. 51 (2021) 753,

Bertsch G F, Borysowicz J, Mcmanus H and Ae W G,Interactions for inelastic scattering derived from realistic potentials, Nucl. Phys. A 284 (1977) 399,

Anantaraman N, Toki H and Bertsch G F,An effective interaction for inelastic scattering derived from the Paris potential, Nucl. Phys. A 398 (1983) 269,

M. El-Azab Farid and G. R. Satchler,A density-dependent interaction in the folding model for heavy-ion potentials, Nucl. Phys. A 438 (1985) 525, density/.

R.E. Warner et al.,Total reaction and 2n-removal cross sections of 20–80A MeV 4,6,8 He , 6−9,11Li , and 10 Be on Si, Phys. Rev. C54 (1996) 1700,

M. El-Azab Farid and M. A. Hassanain,Density-independent folding analysis of the 6,7Li elastic scattering at intermediate energies, Nucl. Phys. A678, 39 (2000),

D. T. Khoa, G. R. Satchler, and W. von Oertzen,Nuclear incompressibility and density dependent NN interactions in the folding model for nucleus-nucleus potentials, Phys. Rev. C 56 (1997) 954.

Dao T. Khoa Nguyen Hoang Phuc, Doan Thi Loan and Bui Minh Loc,Nuclear mean field and double-folding model of the nucleus-nucleus optical potential, Phys. Rev. C 94 (2016) 034612.

H. Utsunomiya,et al.,Continuous distribution of at relative kinetic energies in 7 Li breakup reactions, Nucl. Phys. A 511 (1990) 379,

J. D. Childs, w. w. Daehnick and M. J. Spisak,Accurate elastic scattering cross sections for 17-MeV deuterons, Phys. Rev. C 10 (1974) 217.

J.R.M. Annand, R.W. Finlay, P.S. Dietrich, A low-energy optical-model analysis of 208 Pb and 209B, Nuclear Physics A 443 (1985)249,

I. J. Thompson, Coupled reaction channels calculations in nuclear physics,Comput. Phys. Rep.7 (1988) 167,

Sh. Hamada and Awad A. Ibraheem,Peculiarities of 6Li+12C elastic scattering, Int.J. Mod. Phys. E28 (2019) 1950108,

Sh. Hamada, B. Alshahrani, AbdElrahman Elgamala, N. Darwish, I. Bondouk and Awad A. Ibraheem, Analysis of 6 Li+16O elastic scattering using different potentials, Revista Mexicana de Fisica 66 (2020) 322,

Sh. Hamada and Awad A. Ibraheem,Cluster folding optical potential analysis for 6 Li+28Si elastic scattering, Revista Mexicana de Fisica 67 (2021) 276,

Sh. Hamada, Norah A. M. Alsaif and Awad A. Ibraheem,Detailed analysis for 6 Li+40Ca elastic scattering using different potentials, Phys. Scr.96 (2021) 055306,




How to Cite

S. Hamada and A. . Ibraheem, “Investigation of 9,10Be weakly bound nuclei elastically scattered from 208Pb ”, Rev. Mex. Fís., vol. 68, no. 4 Jul-Aug, pp. 041202 1–, Jun. 2022.