Theoretical Behaviour of 8B + 208pb Elastic Scattering within Double Folding Model

N. A. El-Nohy

Department of Physics, Faculty of Science, Alexandria University, Alexandria, Egypt.

M. N. El-Hammamy *

Department of Physics, Faculty of Science, Damanhur University, Damanhur, Egypt.

M. El-Azab Farid

Department of Physics, Faculty of Science, Assiut University, Assiut, Egypt.

A. Attia

Department of Physics, Faculty of Science, Alexandria University, Alexandria, Egypt.

Moamen M. Elsayed

Department of Physics, Faculty of Science, Alexandria University, Alexandria, Egypt.

*Author to whom correspondence should be addressed.


Abstract

In this paper, we discuss the behavior of exotic nucleus 8B elastic scattering from heavy target 208pb at two different energies; 50 MeV (coulomb energy) and 170.3 MeV . For this purpose, we perform double folding (DF) calculations by treating 8B as a (7Be+P) and (7B+n) core-nucleon system and evaluate the central part of the nuclear optical potential. The calculations including real and imaginary optical potentials are shown to reproduce very well the elastic scattering cross sections obtained by folding the density independent (DIM3Y) effective nucleon-nucleon interaction with the halo density distribution of the 8B nucleus. The results of the two configurations similarly describe satisfactorily relevant experimental data. This confirms the validity of the halo structure of the 8B nucleus within these models.

Keywords: Elastic scattering, double folding, halo nuclei.


How to Cite

El-Nohy, N. A., El-Hammamy, M. N., Farid, M. E.-A., Attia, A., & M. Elsayed, M. (2020). Theoretical Behaviour of 8B + 208pb Elastic Scattering within Double Folding Model. International Astronomy and Astrophysics Research Journal, 1(1), 67–76. Retrieved from https://journaliaarj.com/index.php/IAARJ/article/view/9

Downloads

Download data is not yet available.

References

Aguilera EF, et al. Reaction cross sections for 8B, 7Be, and 6Li+58Ni near the Coulomb barrier: Proton-halo effects, Phys. Rev. 2009;C79:021601(R).

Aguilera EF, et al. Angular momentum limit for fusion of halo and weakly bound systems, Phys. Rev. 2012;C85:014603.

Pakou A, et al. Fusion cross sections of 8B+28Si at near-barrier energies, Phys. Rev. 2013;C87:014619.

Yang YY, et al. Elastic scattering of the proton drip-line nucleus 8B off a natPb target at 170.3 MeV. Phys. Rev. 2013; C87:044613.

Tanihata I, et al. Measurement of interaction cross sections using isotope beams of Be and B and isospin dependence of the nuclear radii. Phys. Lett. 1988;B206:592.

Obuti MM, et al. Interaction cross section and interaction radius of the 8B nucleus. Nucl. Phys. 1996;A609:74.

Wang J, et al. RMF calculation and phenomenological formulas for the rms radii of light nuclei. Nucl. Phys. 2001; A691:618.

Kelley JH, et al. Study of the Breakup Reaction 8B--> 7Be+ p: Absorption Effects and E-2 Strength. Phys. Rev. Lett. 1996; 77:5020.

Jin SL, et al. Reaction mechanism of 8B breakup at the Fermi energy. Phys. Rev. 2015;C91, 054617.

Warner RE, et al. Elastic scattering of 10 MeV 6He from 12C, natNi, and 197Au. Phys. Rev. 1995;C51:178.

Terakopian GM, et al. Two-neutron exchange observed in the 6He+4He reaction. Phys. Lett. 1998;B426:251.

Benjamim EA, et al. Elastic scattering and total reaction cross section for the 6He+ 27Al system. Phys. Lett. 2007;B647:30.

Acosta L, et al. Elastic scattering and α-particle production in 6He + 208Pb collisions at 22 MeV. Phys. Rev. 2011;C84:044604.

Kakuee OR, et al. Long range absorption in the scattering of 6He on 208Pb and 197Au at 27 MeV, Nucl. Phys. 2006;A765:294.

Rusek K, et al. Dipole polarizability of 6He and its effect on elastic scattering. Phys. Rev. 2003;C67:041604(R).

Kakuee OR, et al. Elastic scattering of the halo nucleus 6He from 208Pb above the Coulomb barrier. Nucl. Phys. 2003;A728 : 339.

Sanchez-Benıtez AM, et al. Study of the elastic scattering of 6He on 208Pb at energies around the Coulomb barrier. Nucl. Phys. 2008;A803:30.

Johnson RC, et al. Elastic scattering of halo nuclei. Phys. Rev. Lett. 1997;79:2771.

Di Pietro A, et al. Elastic Scattering and Reaction Mechanisms of the Halo Nucleus 11Be around the Coulomb Barrier. Phys. Rev. Lett. 2010;105:022701.

Pecina I, et al. Quasielastic scattering of 8B and 7Be on 12C at 40 MeV/nucleon. Phys. Rev. 1995;C52:19.

Tabacaru G, et al. Scattering of 7Be and 8B and the astrophysical 17S factor, Phys. Rev. 2006;C73:025808.

Barioni A, et al. Elastic scattering and total reaction cross sections for the 8B, 7Be, and 6Li+ 12C systems. Phys. Rev. 2011;C84: 014603.

Morcelle V, et al. 8B+ 27Al scattering at low energies. Phys. Rev. 2017;C95:014615.

La Commara M, et al. 8B+ 208Pb Elastic Scattering at Coulomb Barrier Energies. EPJ Web of Conferences. 2017;163: 00032.

Kolata JJ, et al. Elastic scattering, fusion, and breakup of light exotic nuclei. Eur. Phys. J. 2016;A52:123.

Rangel J, et al. Effect of Coulomb breakup on the elastic cross section of the 8B proton-halo projectile on a heavy, 208Pb target, Phys. Rev. 2016;C93:054610.

El-Azab Farid M, Satchler GR. A density-dependent interaction in the folding model for heavy-ion potentials. Nucl. Phys. 1985;A438:525.

Lukyanov VK, et al. Probing the exotic structure of 8B by its elastic scattering and breakup reaction on nuclear targets. Eur. Phys. J. 2017;A53:31.

Mokhtar SR, et al. Optical Model Analysis of 8B+27Al Elastic Scattering Above the Coulomb Barrier. J. Rad. Nucl. Appl. 2018; 3(1):1.

Satchler GR, Love WG. Folding model potentials from realistic interactions for heavy-ion scattering. Phys. Rep. 1979;55: 183.

Tanihata I, et al. Measurement of interaction cross sections using isotope beams of Be and B and isospin dependence of the nuclear radii. Phys. Lett. 1988;B206:592.

Nakada H, et al. E2 properties of nuclei far from stability and the proton-halo problem of 8B", Phys. Rev. 1994;C49:886.

Vorobyov A, et al. An Ionization Spectrometer For Recoil Nuclei In Research On Elastic Small Angle Scattering Of Hadrons Instrum. Exp. Tech. 1982;24:1127.

Tel E, et al. Calculation of radii and density of 7–19B isotopes using effective Skyrme force. Commun. Theor. Phys. 2008;49(3): 696.

De Vries H, et al. Nuclear charge-density-distribution parameters from elastic electron scattering, Atom. Data Nucl. Data Tables. 1987;36:495536.

Cook J. DFPOT - A program for the calculation of double folded potentials. Comput. Phys. 1982;25:125.

Clarke NM. Unpublished; 1994.

Wang JS, et al. 7Be, 8B+ 208Pb Elastic Scattering at Above-Barrier Energies. J. Phys: Conf. Ser. 2013;420:012075.