A SEMI-CLASSICAL ANALYSIS ON THE REACTION <SUP>12</SUP>C+<SUP>209</SUP>Bi AT BOMBARDING ENERGIES SLIGHTLY ABOVE THE COULOMB BARRIER

XU SHU-WEI; RAN QI-HUI; MA HONG-FAN

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

A SEMI-CLASSICAL ANALYSIS ON THE REACTION ¹²C+²⁰⁹Bi AT BOMBARDING ENERGIES SLIGHTLY ABOVE THE COULOMB BARRIER

Abstract
HTML
Reference
Related

PDF

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.

[1]	CHEN Bao-Qiu , MA Zhong-Yu . Effect of Proximity Force on Potential Barrier in Fusion Reaction. Chinese Physics C, 2004, 28(10): 1079-1082.
[2]	ZHANG Zheng-Jun , SHEN Qing-Biao , HAN Yin-Lu , CAI Chong-Hai , SUN Xiu-Quan , HOU Xun . Theoretical Calculations of Microscopic Nuclear Reaction Data for p+²⁰⁹Bi in Energy Region up to 300MeV. Chinese Physics C, 2002, 26(6): 600-606.
[3]	Zheng Jiwen , Wu Enjiu , Zhang Chun , Xiao Zhigang , Wang Sufang , Yin Shuzhi , Jin Genming , Tan Jilian , Jin Weiyang , Song Mingtao , Li Zuyu , Wu Heyu , He Zhiyong , Yin Xu , Peng Xinping , Jiang Dengxing , Qian Xing . Measurement of Fission Time Scale and Excitation Energy at Scission for 25MeV/u ⁴⁰Ar+²⁰⁹Bi Fission Reaction. Chinese Physics C, 1999, 23(10): 946-953.
[4]	Zheng Jiwen , Wu Enjiu , Xiao Zhigang , Zhang Chun , Yin Shuzhi , Wang Sufang , Jin Genming , Tan Jilian , Jin Weiyang , Song Mingtao , Li Zuyu , Wu Heyu , He Zhiyong , Yin Xu , Peng Xinping , Jiang Dongxing , Qian Xing . Investigation of Fission Properties in the Reaction 25MeV/u ⁴⁰Ar+²⁰⁹Bi. Chinese Physics C, 1999, 23(5): 409-416.
[5]	Zhao Jinhua , Zhang Li , Zheng Jiwen , Wang Jicheng , Qin Zhi , Yang Yongfeng , Zhang Chun , Jin Genming , Guo Guanghui , Du Yifei , Guo Tianrui , Wang Tongqing , Guo Bin , Tan Jinfeng . New Heavy Neutron-Rich Nuclide ²⁰⁹Hg. Chinese Physics C, 1998, 22(10): 959-960.
[6]	Chen Xiangjun , Zhang Weining , Liu Yiming . Semi-Classical Transport Equation of Quarks. Chinese Physics C, 1997, 21(10): 905-910.
[7]	Yin Shuzhi , Jin Weiyang , Zhang Chun , Jin Genming , Zheng Jiwen , Wu Enjiu , Tan Jilian , Li Zuyu , Wang Sufang , Song Mingtao , Wu Heyu , He Zhiyong , Jiang Dongxing , Qian Xing . Temperatures and Excitation Energies of Hot Nuclei in Reactions of ⁴⁰Ar+^natAg,²⁰⁹Bi at MeV/u. Chinese Physics C, 1997, 21(8): 680-685.
[8]	Zhou Xiaohong , Sun Xiangfu , Guo Yinxiang , Lei Xiangguo , Liu Zhong , Zhang Yuhu , Chen Xinfeng , Jin Hanjuan , Luo Yixiao , Wen Shuxian , Yuan Guanjun , Li Guangsheng , Yang Chunxiang . Study of High-Spin States in ¹⁹⁸Bi. Chinese Physics C, 1996, 20(S3): 243-251.
[9]	Zhou Xiaohong , Sun Xiangfu , Guo Yingxiang , Lei Xiangguo , liu Zhong , Zhang Yuhu , Chen Xinfeng , Jin Hanjuan , Luo Yixiao , Wen Shuxian , Yuan Guanjun , Li Guangsheng , Yang Chunxiang . High-Spin States in ¹⁹⁸Bi. Chinese Physics C, 1996, 20(9): 769-777.
[10]	Li Qingrun , Yang Yongxu . Excitation Function for ¹²C+¹²C Elastic Scattering. Chinese Physics C, 1995, 19(4): 374-376.
[11]	Qian Xing , Jiang Dongxing , Lin Junsong , Liu Daming , Li Ze . Cross Sections of Evaporation Residues of ¹²C＋⁹³Nb in the Vicinity of the Coulomb Barrier. Chinese Physics C, 1995, 19(7): 603-611.
[12]	Dai Guangxi , Wu Heyu , Jin Genming , Qi Yujin , Li Zuyu , Duan Limin , He Zhiyong , Luo Qingzeng , Wen Wanxin , Zhang Baoguo , Dang Bingrong , Cai Wei . Ternary Fission Fragments Correlation Measurement in Reactions of ⁴⁰Ar+¹⁵⁹Tb,¹⁹⁷Au,²⁰⁹Bi at 25MeV/u. Chinese Physics C, 1994, 18(S1): 20-27.
[13]	WU He-Yu , DAI Guang-Xi , CAI Wei , QI Yu-Jin , YAN De-Hong , ZHANG Bao-Guo , DANG Bing-Rong , LUO Qin-Zheng , QIAN Xing , WEN Wan-Xin . Study of Ternary Fission Produced in ¹²C Bombarding ²⁰⁹Bi Target with Medium Energy. Chinese Physics C, 1993, 17(8): 680-684.
[14]	DAI Guang-Xi , , , , , , , , , , , . THE SHELL EFFECT IN SEQUENTIAL FISSION INDUCED BY ²³⁸U WITH ENERGY JUST ABOVE COULOMB BARRIER. Chinese Physics C, 1985, 9(4): 454-460.
[15]	SHEN Wen-Qing , QIAO Wei-Min , ZHU Yong-Tai , ZHAN Wen-Long . DIFFUSION MODEL ANALYSES OF THE EXPERIMENTAL DATA OF ¹²C+²⁷Al,⁴⁰Ca DISSIPATIVE COLLISIONS. Chinese Physics C, 1984, 8(6): 732-739.
[16]	ZHANG QI-REN . RELATIVISTIC SEMICLASSICAL THEORY OF CONDENSATION (Ⅰ). Chinese Physics C, 1981, 5(1): 15-28.
[17]	XU SHU-WEI , WU GUO-HUA , HAN FEI , WANG AI-LIAN , ZHAO BING-LIN . EFR-DWBA ANALYSIS OF SINGLE PROTON TRANSFER REACTION FOR ¹²C+¹²C AT THE INCIDENT ENERGY 72.5 MeV. Chinese Physics C, 1981, 5(5): 607-610.
[18]	Xu SHU-WEI . A COMPLEMENTARY ANALYSIS OF THE EXPERIMENTAL DATA FOR REACTION ¹²C+²⁰⁹Bi AT THE INCIDENT ENERGIES SLIGHTLY ABOVE THE COULOMB BARRIER. Chinese Physics C, 1981, 5(4): 518-520.
[19]	GUO JUN-SHENG , SUN XI-JUN , XU XIAO-JI , WANG JUN , LIU HONG-YE . THE MEASUREMENT OF THE EXCITATION FUNCTIONS OF ISOTOPES OF Fr AND At, PRODUCED IN THE BOMBARDMENT OF ¹²C ON ²⁰⁹Bi. Chinese Physics C, 1978, 2(2): 143-150.
[20]	SHEN WEN-GING , XU SHU-WEI , WANG DA-YAN , XIE YUAN-XIANG , GUO ZHONG-YAN , LI ZU-YU . α PARTICLES EMITTED IN THE REACTION OF ¹²C ON ²⁰⁹Bi. Chinese Physics C, 1977, 1(1): 70-78.

Access

Get Citation

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.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(1748)
PDF Downloads(272)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

A SEMI-CLASSICAL ANALYSIS ON THE REACTION ¹²C+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 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.

HTML

Reference (1)

A SEMI-CLASSICAL ANALYSIS ON THE REACTION ¹²C+²⁰⁹Bi AT BOMBARDING ENERGIES SLIGHTLY ABOVE THE COULOMB BARRIER

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

A SEMI-CLASSICAL ANALYSIS ON THE REACTION ¹²C+²⁰⁹Bi AT BOMBARDING ENERGIES SLIGHTLY ABOVE THE COULOMB BARRIER

HTML

目录

A SEMI-CLASSICAL ANALYSIS ON THE REACTION 12C+209Bi AT BOMBARDING ENERGIES SLIGHTLY ABOVE THE COULOMB BARRIER

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

A SEMI-CLASSICAL ANALYSIS ON THE REACTION 12C+209Bi AT BOMBARDING ENERGIES SLIGHTLY ABOVE THE COULOMB BARRIER

HTML

目录

A SEMI-CLASSICAL ANALYSIS ON THE REACTION ¹²C+²⁰⁹Bi AT BOMBARDING ENERGIES SLIGHTLY ABOVE THE COULOMB BARRIER

A SEMI-CLASSICAL ANALYSIS ON THE REACTION ¹²C+²⁰⁹Bi AT BOMBARDING ENERGIES SLIGHTLY ABOVE THE COULOMB BARRIER