Refractive Features and Diffraction Scattering Patterns Observed in the Elastic Scattering of ¹²C from ¹²C at Various Energies

Sh. Hamada, N. Burtebayev

Faculty of Science, Tanta University, Tanta, Egypt.
Institute of Nuclear Physics, Almaty, Kazakhstan.

DOI: 10.4236/jmp.2013.46114                

Abstract

We have measured the angular distributions for ¹²C ion beam elastically scattered from ¹²C target of thickness 17.4 μg/cm² at energies 15, 18 and 21 MeV which is close to the Coulomb barrier energy for ¹²C + ¹²C nuclear system. The elastic scattering of ¹²C beam on ¹²C was analysed also at different energies (139.5, 158.8, 180, 240, 288.6, 300, 360 and 420 MeV) from literature in order to obtain the global optical potential parameters, which could fairly reproduce the experimental data. The experimental results were analysed within the framework of both the optical model and the double folding potential obtained with different density-dependent NN interactions which give the corresponding values of the nuclear incompressibility K in the Hartree-Fock calculation of nuclear matter. The agreement between the experimental results and the theoretical predictions in the whole angular range is fairly good.

Keywords

Scattering Patterns; Refractive Features; Elastic Scattering; Optical Model; Double Folding; Density Distribution

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	S. M. Lenzi, A. Vitturi and F. Zardi, Nuclear Physics A, Vol. 536, 1992, pp. 168-178. doi:10.1016/0375-9474(92)90252-F
[2]	S. M. Lenzi, A. Vitturi and F. Zardi, Physical Review C, Vol. 40, 1989, pp. 2114-2123. doi:10.1103/PhysRevC.40.2114
[3]	J. Y. Hostachy, et al., Nuclear Physics A, Vol. 490, 1988, 441-470. doi:10.1016/0375-9474(88)90514-3
[4]	C.-C. Sahm, T. Murakami, J. G. Cramer, A. J. Lazzarini, D. D. Leach, D. R. Tieger , R. A. Loveman, W. G. Lynch, M. B. Tsang and J. Van der Plicht, Physical Review C, Vol. 34, 1986, pp. 2165-2170. doi:10.1103/PhysRevC.34.2165
[5]	M. E. Brandan, Physical Review Letters, Vol. 60, 1988, pp. 784-787. doi:10.1103/PhysRevLett.60.784
[6]	H. Emling, R. Nowotny, D. Pelte, G. Schrieder and W. Weidenmeier, Nuclear Physics A, Vol. 239, 1975, pp. 172-188. doi:10.1016/0375-9474(75)91141-0
[7]	W. Treu, H. Frohlich, W. Galster, P. Dück and H. Voit, Physical Review C, Vol. 22, 1980, pp. 2462-2464. doi:10.1103/PhysRevC.22.2462
[8]	I. Boztosun and W. D. M. Rae, Physical Review C, Vol. 63, 2001, Article ID: 054607. doi:10.1103/PhysRevC.63.054607
[9]	F. Michel and S. Ohkubo, The European Physical Journal A, Vol. 19, 2004, pp. 333-339. doi:10.1140/epja/i2003-10133-0
[10]	M. Freer, M. P. Nicoli, S. M. Singer, C. A. Bremner, S. P. G. Chappell, W. D. M. Rae, I. Boztosun, B. R. Fulton, D. L. Watson, B. J. Greenhalgh, G. K. Dillon, R. L. Cowin and D. C. Weisser, Physical Review C, Vol. 70, 2004, Article ID: 064311. doi:10.1103/PhysRevC.70.064311
[11]	D. L. Watson, B. J. Greenhalgh, G. K. Dillon, R. L. Cowin and D. C. Weisser, Physical Review C, Vol. 70, 2004, Article ID: 064311. doi:10.1103/PhysRevC.70.064311
[12]	C. A. Bremner, S. P. G. Chappell, W. D. M. Rae, I. Boztosun, M. Freer, M. P. Nicoli, S. M. Singer, B. Fulton, D. L. Wat-son, B. J. Greenhalgh, G. K. Dillon and R. L. Cowin, Physical Review C, Vol. 66, 2002, Article ID: 034 605. doi:10.1103/PhysRevC.66.034605
[13]	“MAESTRO®-32 MCA Emulator for Microsoft® Windows® 98, 2000, NT®, and XP® A65-B32 Software User’s Manual Software Version 6.”
[14]	J. W. Bulter, US Naval Research Laboratory, “NRL Report 5282,” 1959.
[15]	M. E. Brandan, Physical Review Letters, Vol. 60, 1988, pp. 784-787. doi:10.1103/PhysRevLett.60.784
[16]	F. Perey, “SPI-GENOA: An Optical Model Code,” Unpublished, 1975.
[17]	I. J. Thompson, Computer Physics Reports, Vol. 7, 1988.
[18]	G. Bertsch, J. Borysowicz, H. McManus and W. G. Love, Nuclear Physics A, Vol. 284, 1977, pp. 399-419. doi:10.1016/0375-9474(77)90392-X
[19]	N. Anantaraman, H. Toki, G. F. Bertsch, Nuclear Physics A, Vol. 398, 1983, pp. 269-278. doi:10.1016/0375-9474(83)90487-6
[20]	G. R. Satchler, W. G. Love, Physics Reports, Vol. 55, 1979, pp. 183-254. doi:10.1016/0370-1573(79)90081-4
[21]	A. M. Kobos, B. A. Brown, P. E. Hodgson, G. R. Satchler and A. Budzanowski, Nuclear Physics A, Vol. 384, 1982, pp. 65-87. doi:10.1016/0375-9474(82)90305-0
[22]	J. P. Jeukenne, A. Lejeune and C. Mahaux, Physical Review C, Vol. 16, 1977, pp. 80-96. doi:10.1103/PhysRevC.16.80
[23]	A. M. Kobos, B. A .Brown, R. Lindsay and G. R. Satchler, Nuclear Physics A, Vol. 425, 1984, pp. 205-232. doi:10.1016/0375-9474(84)90073-3
[24]	M. E. Brandan and G. R. Satchler, Nuclear Physics A, Vol. 487, 1988, pp. 477-492. doi:10.1016/0375-9474(88)90625-2
[25]	Dao T. Khoa, W. von Oertzen, H. G. Bohlen and S. Ohkubo, Journal of Physics G: Nuclear and Particle Physics, Vol. 34, 2007, pp. R111-R116.
[26]	R. M. Wieland, R. G. Stokstad, G. R. Satchler and L. D. Rickertsen, Physical Review Letters, Vol. 37, 1976, pp. 1458-1461. doi:10.1103/PhysRevLett.37.1458
[27]	D. A. Goldberg and S. M. Smith, Physical Review Letters, Vol. 33, 1974, pp. 715-718. doi:10.1103/PhysRevLett.33.715
[28]	M. P. Nicoli, F. Haas, R. M. Freeman, N. Aissaoui, C. Beck, A. Elanique, R. Nouicer, A. Morsad, S. Szilner, Z. Basrak, M. E. Brandan and G. R. Satchler, Physical Review C, Vol. 60, 1999, Article ID: 064608. doi:10.1103/PhysRevC.60.064608
[29]	D. T. Khoa, W. von Oertzen, H. G. Bohlen and F. Nuoffer, Nuclear Physics A, Vol. 672, 2000, pp. 387-416.
[30]	M. P. Nicoli, F. Haas, R. M. Freeman, S. Szilner, Z. Basrak, A. Morsad, G. R. Satchler and M. E. Brandan, Physical Review C, Vol. 61, 2000, Article ID: 034609. doi:10.1103/PhysRevC.61.034609
[31]	A. A. Ogloblin, D. T. Khoa, Y. Kondo, Yu. A. Glukhov, A. S. Dem’yanova, M. V. Rozhkov, G. R. Satchler and S. A. Goncharov, Physical Review C, Vol. 57, 1998, pp. 1797-1802. doi:10.1103/PhysRevC.57.1797