Numerical Analysis of Fusion Cross Section of (_^16)O+(_^16)O by Using The Modified Glas-Mosel Formula

Yacobus Yulianto, Zaki Su'ud

Abstract

One of the interesting topics in nuclear reactions is a study about reaction cross section between the interacting nuclei. For calculating fusion cross section, the Glas-Mosel formula has been proven successfully in explaining the experimental results of fusion cross section. In this study, the fusion cross sections of O16+O16 reaction were calculated by using modified Glas-Mosel formula. The energies were set at 10≀𝐸≀40 MeV. The potential of interacting nuclei was approached by using Woods-Saxon potential. In numerical process, the differential equations were solved by using finite different method and optimization process was performed by using Nelder-Mead method. Good agreement between the experimental and this study results has been achieved successfully. Referring those results above, it can be indicated that the modified Glas-Mosel formula has good capability to explain the experimental results of fusion reaction of light nuclei. It can be a useful tool in explaining the experimental results or in predicting fusion cross section of light nuclei.

Keywords

Glas-Mosel formula; fusion reaction; cross section; light nuclei

Full Text:

PDF

References

Glas, D., and Mosel, U. 1974. Limitation on complete fusion during heavy-ion collisions. Physical Review C, 10(6), 2620–2622.

Kolata, J.J., Freeman, R.M., Haas, F., Heusch, B., and Gallmann, A. 1978. Gross and intermediate-width structure in the interaction of (_^16)O with (_^16)O. Physical Review C, 19(6), 2237–2245.

Tserruya, I., Eisen, Y., Pelte, D., Gavron, A., Oeschler, H., Berndt, D., and Harney, H.L. 1978. Total fusion cross section for the (_^16)O+(_^16)O system. Physical Review C, 18(4), 1688–1699.

Fernandez, B., Gaarde, C., Larsen, S., Pontoppidan, S., and Videbaek, F. 1978. Fusion cross sections for the (_^16)O+(_^16)O reaction. Nuclear Physics A, 306, 259–284.

Simenel, C., Keser, R., Umar, A.S., and Oberacker, V.E. 2013. Microscopic study of (_^16)O+(_^16)O. Physical Review C, 88, 024617.

Kondo, Y., Robson, B.A., and Smith, R. 1989. A deep potential description of the the (_^16)O+(_^16)O system. Physics Letters B, 227 (3,4), 310–314.

Wong, C.Y. 1973. Interaction Barrier in Charged-Particle Nuclear Reactions. Physical Review Letters, 31(12), 766–769.

Akyuz, R.O., and Winter, A. 1979. Nuclear structure and heavy-ion reactions. Proc. Enrico Fermi Int. School of Physics. Amsterdam, 491.

Hagino, K., and Takigawa, N. 2012. Subbarrier Fusion Reactions and Many-Particle Quantum Tunneling. Prog. Theor. Phys, 128(6), 1061–1106.

Gao, J., Zhang, H., Bao, X., Li, J., and Zhang, H. 2014. Fusion calculations for (_^40)Ca+(_^40)Ca, (_^48)Ca+(_^48)Ca, (_^40)Ca+(_^48)Ca, and p+(_^208)Pb systems. Nuclear Physics A, 929, 9–19.

Chapra, S.C. Applied numerical methods with MATLAB for engineers and scientists - 3rd ed. 2012. McGraw-Hill Companies, Inc. New York.

Mathews, J., and Fink, K. Numerical Methods Using Matlab - 3rd Edition. 1999. Prentice Hall. New Jersey.

Yulianto, Y., Ramdani, R., and Abidin, M.S. 2017. Perhitungan Energi Ground State Atom Berilium dengan Menggunakan Metode Variasional. Prosiding Seminar Kemajuan Fisika. ITB, Bandung.

Koonin, S.E., and Meredith, D.C. Computational Physics - Fortran Version. 1990. Westview Press. USA.

Al-Ghamdi A.H., and Ibraheem A.A. 2016. Analysis of (_^6)Li scattering at 240 MeV using different nuclear potentials. Braz. J. Phys., 46, 334–340.

Thomas, J., Chen, Y.T., Hinds, S., Meredith, D., and Olson, M. 1986. Sub-barrier fusion of the oxygen isotopes: A more complete picture. Physical Review C, 33(5), 1679–1689.

DOI: https://doi.org/10.13057/ijap.v8i2.21820

Refbacks

  • There are currently no refbacks.