Chinese Physics C > 1978, Vol. 2 > Issue(6): 534-543

A SEMI-CLASSICAL ANALYSIS ON THE REACTION¹²C+²⁰⁹Bi AT BOMBARDING ENERGIES SLIGHTLY ABOVE THE COULOMB BARRIER

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Abstract：
For reactions induced by light heavy ion such as ¹²C, at bombarding energy slightly above the coulomb barrier, using semi-classical theory, neglecting macroscopic frictional force, the reaction mechnisms are sorted by the orbital angular momentum of the entrance channel from the classical deflection functions fitting elastic scattering. Moreover, inserting a transfer probability factor representing the Q-Window effect into the semi-classical angular distribution formula of Kalinkin and Grabowski, we obtain a formula for the differential cross-section per unit energy interval. The calculated results, including the elastic scattering angular distributions, energy spectrum and angular distributions of emitted α-particles in quasi-elastic process, complete fusion cross-section, fusion-fission cross-sections and the exitation functions of evaporated neutron, agree with the experimental data on the reaction ¹²C+ ²⁰⁹Bi reported by our Institute.

References

[1]

B. N. Kalinkin and J. Grabowsld, "proceedings of Third Conference on Reactions between Complex Nuclei" (1963), 129.[2] K. W. Ford and J. A. Wheeler, Ann. Phys., 7(1959), 259.[3] B. N. Kalinkin, T.P. Kochkina and B. I. Pustylnik, "Proceedings of Third Conference on Reactions between Complex Nuclei" (1963) 69.[4] 沈文庆、徐树威、王大延、谢元祥、郭忠言、李祖玉，高能物理与核物理,1 (1977), 70.[5] D. M. Brink, Phys. Lett., 40B(1972)，37;D. M. Brink, N. A. Weise, et. al., Phys. ReP., 12C(1974),3.[6] D. H. E. Gross and H. Kalinowski, Phys. Lett., 48B(1974), 302.[7] Y. Le Beyec, M. Lefort and M. Sarde, Nucl. Phys., A192(1972), 405.[8] H. C. Britt and A. R. Quinton, Phys. Rev., 120(1960), 1768.[9] T. Sikkeland, J, Maly and D. F. Lebeck, Phys. Rev., 169(1968), 1000; T. Sikkeland, A. Ghiorso and M, J, Nurmia, Phys. Rev., 172(1968), 1232.[10] J. D. Jackson, Can. J. Phys., 34(1956), 767.[11] F. Pladil and M. Blann, Phys. Rev., c11(1975), 508.[12] S. Cohen, F. Plasil and W. J. Swiatecki, Ann. Phys., 82 (1974), 557.

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XU SHU-WEI, RAN QI-HUI and MA HONG-FAN. A SEMI-CLASSICAL ANALYSIS ON THE REACTION ¹²C+ ²⁰⁹Bi AT BOMBARDING ENERGIES SLIGHTLY ABOVE THE COULOMB BARRIER[J]. Chinese Physics C, 1978, 2(6): 534-543.

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Received: 1977-08-22
Revised: 1900-01-01

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通讯作者:陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

A SEMI-CLASSICAL ANALYSIS ON THE REACTION¹²C+²⁰⁹Bi AT BOMBARDING ENERGIES SLIGHTLY ABOVE THE COULOMB BARRIER

Received Date:1977-08-22

Accepted Date:1900-01-01

Available Online:1978-12-05

Abstract:For reactions induced by light heavy ion such as¹²C, at bombarding energy slightly above the coulomb barrier, using semi-classical theory, neglecting macroscopic frictional force, the reaction mechnisms are sorted by the orbital angular momentum of the entrance channel from the classical deflection functions fitting elastic scattering. Moreover, inserting a transfer probability factor representing the Q-Window effect into the semi-classical angular distribution formula of Kalinkin and Grabowski, we obtain a formula for the differential cross-section per unit energy interval. The calculated results, including the elastic scattering angular distributions, energy spectrum and angular distributions of emittedα-particles in quasi-elastic process, complete fusion cross-section, fusion-fission cross-sections and the exitation functions of evaporated neutron, agree with the experimental data on the reaction¹²C+²⁰⁹Bi reported by our Institute.

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A SEMI-CLASSICAL ANALYSIS ON THE REACTION¹²C+²⁰⁹Bi AT BOMBARDING ENERGIES SLIGHTLY ABOVE THE COULOMB BARRIER

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