Optical model analysis of the $^{16}O+^{16}O$ nuclear scattering reaction around $E_{LAB}$=5MeV/Nucleon

Optical model analysis of the $^{16}O+^{16}O$ nuclear scattering reaction around $E_{LAB}$=5MeV/Nucleon

In this study, the experimental data on elastic scattering of $^{16}O+^{16}O$ reaction at the incident energies $E_{LAB}$=75.0; 80.6 and 87.2MeV have been analyzed theoretically within the framework of the Optical model formalism by using the Fresco code. Our cross-section calculations have revealed a good agreement with the experimental data as much as the previous theoretical works. It is suggested that, more suitable fits with the experimental data may be obtained in coupled-channels formalism by considering the absorption due to the $3^-$ and $2^+$ channels.

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  • [1] M.E. Brandan, and G.R. Satchler, "The interaction between light heavy-ions and what it tell us", Phys. Rep., Vol. 285, pp. 143-243,1997. [2] G.R. Satchler, "Introduction to Nuclear Reactions", Mc Millan Press Ltd., London, pp. 153-210,1980. [3] D.T. Khoa, "Study of diffractive and refractive structure in the elastic $^{16}O+^{16}O$ scattering at incident energies ranging from 124 to 1120MeV", NucL Phys. A, Vol. 672, pp. 387-416, 2000. [4] Y. Kondo, "Airy minimum crossing $theta_{cm}$=90° at $E_{lab}$=124MeV for the $^{16}O+^{16}O$ system", Phys. Lett. B, Vol. 365, pp. 17-22, 1996. [5] G. Bartnitzky, "Model-unrestricted nucleus-nucleus scattering potentials from measurement and analysis of $^{16}O+^{16}O$ scattering", Phys. Lett. B, Vol. 365, pp. 23-28, 1996. [6] M.P. Nicoli, "Refractive effects in the elastic scattering of light heavy ions between 5 and 10MeV/n: the $^{16}O+^{16}O$ reaction", Nucl Phys. A, Vol. 654, pp. 882-887, 1999. [7] M.E. Brandan, and G.R. Satchler, "Optical potential ambiguities and $^{16}O+^{16}O$ at 350MeV", Phys. Lett. 5, Vol. 256, pp. 311-315, 1991. [8] Y. Kondo, "A Deep potential description of the 16O + 16O system" Phys. Lett. B, Vol. 227, pp. 310-314, 1989. [9] M.M. Gonzalez and M.E. Brandan, "The dispersion relation applied to the radial shape and energy dependence of the $^{16}O+^{16}O$ potential at intermediate energies", Nucl. Phys. A, Vol. 69, pp. 603-615, 2001. [10] H F. Haas and Y. Abe, "Surface transparency and resonant behavior in some lighter-heavy-ion reactions", Phys. Rev. Lett., Vol. 46, pp. 1667-1670, 1981. [11] J.V. Maher, "Nuclear interaction of oxygen with oxygen", Phys. Rev., Vol. 188, no. 4, pp. 1665-1682,1969. [12] M.L. Halbert, "Elastic scattering of $^{16}O$ by $^{16}O$", Phys. Lett. B, Vol. 51, no. 4, pp. 341-344, 1974. [13] A. Aydın, "$^{40}Ar(p,p)^{40}$Ar esnek saçılmasının 22.6, 27.5, 30.0 ve 36.7MeV proton enerjilerinde optiksel model analizi", Doktora Tezi, Ondokuz Mayıs Üniversitesi Fen Bilimleri Enstitüsü, Samsun, pp. 26-35, 1997. [14] K.S. Krane, "Introductory Nuclear Physics", John Wiley and Sons, New York, pp. 396-416,1988. [15] G.R. Satchler, "Direct Nuclear Reactions", Oxford University Press., New York, pp. 392-680, 1983. [16] H. Feshbach, "Model for nuclear reactions with neutrons", Phys. Rev., Vol. 96, no. 2, pp. 448-464, 1954. [17] R.D. Woods and D.S. Saxon, "Diffuse surface optical model for nucleon-nuclei scattering", Phys. Rev., Vol. 95, no. 2, pp. 577-578, 1954. [18] I.J. Thompson, "Coupled channels methods for nuclear physics", Computer Phys. Rep., Vol. 7, pp. 167-212, 1988. [19] M.H. Macfarlane, "Techniques for heavy-ion coupled-channels calculations. I. long-range coulomb coupling", Phys. Rev. C, Vol. 21, pp. 2417-2426,1980. [20] B.V. Carlson, "Optical model calculations with the codeECIS95", 2000. [21]M.E. Kürkçüoğlu, "$^{16}O+^{16}O$ Elastik saçılmasının yüksek enerjilerde optik model ile incelenmesi", TFD 22. Fizik Kongresi, Bodrum, 539 2004. [22] O. Bayrak, "Hafif-ağır iyon reaksiyonlarının yeni bir potansiyel yaklaşımı ile incelenmesi", Yükek Lisans Tezi, Erciyes Üniversitesi Fen Bilimleri Enstitüsü, Kayseri, pp. 55-62, 2004. [23] M.F. El-Azab Farid,"Analysis of heavy ions elastic scattering using the double folding cluster model", Nucl. Phys. A, Vol. 691, pp. 671-690, 2001. [24] I. Boztosun, "A systematic investigation of light heavy-ion reactions", Phys. Atom. Nucl., Vol. 65, pp. 607-614, 2002. [25] H.H. Rossner, "The heavy-ion reaction channels of the system16O+16O", Nucl. Phys. A, Vol. 218, pp. 606-620,1974. [26] I. Boztosun and W.D.M. Rae, "A new coupling potential for the scattering of deformed light heavy-ion nuclei", Physics Letter B, Vol. 518, pp. 229-233,2001.