A theoretical analysis of the 6He + 9Be reaction: phenomenological and double folding model approximations

Year 2011, Volume: 1 Issue: 1, 12 - 15, 23.12.2011

Murat Aygün İsmail Boztosun Ismail Boztosun

https://doi.org/10.17678/beuscitech.47154

Abstract

We investigate the elastic scattering data of the 6He + 9Be reaction by using the phenomenological and double folding model potentials within the framework of the optical model. In the phenomenological calculations, we use the optical model parameters existed in literature to explain 6He + 9Be reaction. The real potentials in double folding calculations are obtained by using two different density distributions of 6He nucleus. For both the phenomenological and double folding model calculations, the imaginary potentials have the shape of the Woods-Saxon volume. We compare the phenomenological model results with the double folding model ones as well as the experimental data. We present that the folding model results are in better agreement with the experimental data than the phenomenological results for the 6He + 9Be reaction.

Keywords

Optical Model, Exotic Nuclei İnteractions, Microscopic Approaches, Double-folding Model, Elastic Scattering

References

• Al-Khalili JS, Tostevin JA (1996a). Matter radii of light halo nuclei. Phys Rev Lett 76, 3903.
• Al-Khalili JS, Cortina-Gil MD, Roussel-Chomaz P, Alamanos N, Barrette J, Mittig W, Auger F, Blumenfeld Y, Casandjian JM, Chartier M, Fekou-Youmbi V, Fernandez B, Frascaria N, Gillibert A, Laurent H, Lepine-Szily A, Orr NA, Pascalon V, Scarpaci JA, Sida JL, Suomijarvi T (1996b). Elastic scattering of 6He and its analysis within a four-body eikonal model. Phys Lett B 378, 45.
• Aygun M, Kucuk Y, Boztosun I, Ibraheem AA (2010). Microscopic few-body and gaussian-shaped density distributions for the analysis of the 6He exotic nucleus with different target nuclei. Nuc Phys A 848, 245.
• Baur G, Hencken K, Trautmann D, Typel S, Wolter HH (2001). The past and future of coulomb dissociation in hadron and astrophysics. Prog Part Nucl Phys 46, 99.
• Hansen PG, Jonson B (1987). The neutron halo of extremely neutron-rich nuclei. Europhys Lett 4, 409.
• Hansen PG, Jensen AS, Jonson B (1995). Nuclear halos. Ann Rev Nucl Part Sci 45, 505.
• Hnizdo V, Szymakowski J, Kemper KW, Fox JD (1981). Folding-model description of elastic and inelastic scattering of 9Be By 40,44Ca and 39K at 40 MeV. Phys Rev C 24, 1495.
• Johnson B, Riisager K (1998). Halo and halo excitations. Phil Trans R Soc (London) A 356, 2063.
• Kucuk Y, Boztosun I, Topel T (2009). Global optical potential for the elastic scattering of 6He at low energies. Phys Rev C 80, 067601.
• Majer M, Raabe R, Milin M, Angulo C, Cabrera J, Casarejos E, Charvet JL, Escrig D, Gillibert A, Keutgen Th, Lapoux V, Nalpas L, Ninane A, Obertelli A, Orr NA, Skaza F, Sida JL, Sidorchuk SI, Smirnov D, Wolski R (2010). 6He + 9Be reactions at 16.8MeV. Eur Phys J A 43, 153.
• Orr NA (1997). Fragment momentum distributions and the halo. Nucl Phys A 616, 155c.
• Pires KCC, Lichtenthäler R, Lépine-Szily A, Guimarães V, de Faria PN, Barioni A, Mendes Junior DR, Morcelle V, Pampa Condori R, Morais MC, Zamora JC, Crema E, Moro AM, Rodríguez-Gallardo M, Assunção M, Shorto JMB, Mukherjee S (2011). Experimental study of 6He + 9Be elastic scattering at low energies. Phys Rev C 83, 064603.
• Riisager K (1994). Nuclear halo states. Rev Mod Phys 66, 1105.
• Sánchez-Benítez AM, Escrig D, Álvarez MAG, Andrés MV, Angulo C, Borge MJG, Cabrera J, Cherubini S, Espino JM, Figuera P, Freer M, García-Ramos JE, Gómez-Camacho J, Gulino M, Kakuee OR, Martel I, Metelco C, Moro AM, Rahighi J, Rusek K, Smirnov D, Tengblad O, Van Duppen P, Ziman V (2005). Scattering of 6He at energies around the coulomb barrier. J Phys G Nucl Part Phys 31, S1953.
• Smith RJ, Kolata JJ, Lamkin K, Morsad A, Ashktorab K, Becchetti FD, Brown JA, Janecke JW, Liu WZ, Roberts DA (1991). Scattering of 6He from 197Au, natTi, 27Al, natC, and 9Be at E=8-9 MeV. Phys Rev C 43, 761.
• Tanihata I, Hamagaki H, Hashimoto O, Shida Y, Yoshikawa N, Sugimoto K, Yamakawa O, Kobayashi T, Takahasni N (1985a). Measurements of interaction cross sections and nuclear radii in the light p-shell region. Phys Rev Lett 55, 2676.
• Tanihata I, Hamagaki H, Hashimoto O, Nagamiya S, Shida Y, Yoshikawa N, Yamakawa O, Sugimoto K, Kobayashi T, Greiner DE, Takahasni N, Nojiri Y (1985b). Measurements of interaction cross sections and radii of He isotopes. Phys Lett B 160, 380.
• Tanihata I (1995). Nuclear structure studies from reaction induced by radioactive nuclear beams. Prog Part Nucl Phys 35, 505.
• Tanihata I (1996). Neutron halo nuclei. J Phys G 22, 157.
• Tao C, Yan-Lin Y, Zhi-Huan L, Dong-Xing J, Hui H, Xiang- Qing L, Quan-Jing W, Yu-Cheng G, Dan-Yang P, Zhen-Yu D, Gen-Ming J, Guo-Qing X, Zhong-Yan G, Zhi-Gang X, Hong-Wei W, Bao-Guo Z, He-Yu W, Jia-Xing L, Zhi-Yu S, Wen-Long Z (2002). Quasi-elastic scattering of a secondary 6He beam on a 9Be target at 25MeV/nucleon. Chin Phys Lett 19, 921.
• Thompson IJ (1988). Coupled reaction channels calculations in nuclear-physics. Computer Phys Rep 7, 167.
• Thompson IJ, Suzuki Y (2001). Reactions of exotic nuclei. Nucl Phys A 693, 424.
• Ye YL, Pang DY, Jiang DX, Zheng T, Wang QJ, Li ZH, Li XQ, Ge YC, Wu C, Zhang GL, Hu QY, Wang J, Chen ZQ, Ozawa A, Yamaguchi QY, Kanungo R, Tanihata I (2005a). Quasielastic scattering of MeV/nucleon. Phys Rev C 71, 014604. 6He on 9Be at 25
• Ye YL, Pang DY, Zhang GL, Jiang DX, Zheng T, Li ZH, Li XQ, Wang QJ, Ge YC, Wu CE, Wang J, Chen ZQ, Ai Y, Ozawa A, Yamaguchi Y, Fang DQ, Tanihata I (2005b). Study of the halo nucleus 6He through the direct nuclear reactions. J Phys G Nucl Part Phys 31, S1647–S1653.
• Zhukov MV, Danilin BV, Fedorov DV, Bang JM, Thompson IJ, Vaagen JS (1993). Bound state properties of borromean halo nuclei: 6He and 11Li. Phys Rep 231, 151.