A dumbbell model with five parameters describing nuclear fusion or fission

SUN Qian; SHANGGUAN Dan-Hua; BAO Jing-Dong

doi:10.1088/1674-1137/37/1/014102

Chinese Physics C> 2013, Vol. 37> Issue(1) : 014102 DOI: 10.1088/1674-1137/37/1/014102

A dumbbell model with five parameters describing nuclear fusion or fission

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Abstract：
We propose a five-parameter dumbbell model to describe the fusion and fission processes of massive nuclei, where the collective variables are: distance ρ between center-of-mass of two fusing nuclei, neck parameter ν, asymmetry D, two deformation variables β₁ and β₂. The present model has macroscopic qualitative expression of polarization and nuclear collision of head to head, sphere to sphere, waist to waist and so on. The conception of "projectile eating target" based on open mouth and swallow is proposed to describe nuclear fusion process, and then our understanding of the probability of fusion and quasi-fission is in agreement with some previous work. The calculated fission barriers of a lot of compound nuclei are compared with the experimental data.

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[1]

Mustafa M G, Moselt U, Schmitt H W. Phys. Rev. Lett., 1972, 70: 1536[2] Eichler J, Wille U. Phys. Rev. Lett., 1974, 33: 56[3] Mosel U, Schmitt H W. Nucl. Phys. A, 1971, 165: 73[4] Brack M, Damgaard J, Jensen A S et al. Rev. Mod. Phys., 1972, 44: 320[5] Adamian G G, Antonenko N V, Scheid W et al. Nucl. Phys. A, 1998, 633: 409[6] Swiatecki W J. Phys. Scr., 1981, 24: 113[7] Adamian G G, Antonenko N V, Jolos R V. Nucl. Phys. A, 1995, 584: 205[8] Adamian G G, Antonenko, N V, Scheid W. Phys. Rev. C, 2003, 68: 034601[9] Hinde D J, Thomas R G, du Rietz R et al. Phys. Rev. Lett., 2008, 100: 202701[10] Zubov A S, Sargsyan V V, Adnmian G G et al. Phys. Rev. C, 2010, 81: 024607[11] Mustafa M G, Baisden P A, Chandra H. Phys. Rev. C, 1982, 25: 2524[12] Mirea M. Phys. Rev. C, 1996, 54: 302[13] Ghenghescu R A. Phys. Rev. C, 2003, 67: 014309[14] WANG C Y, JIA Y, BAO J D. Phys. Rev. C, 2008, 77: 024603[15] Cap T, Siwek-Wilczyńska K, Wilczyński J. Phys. Rev. C, 2011, 83: 054602[16] LIU Z H, BAO J D. Phys. Rev. C, 2011, 83: 044613[17] LIU Z H, BAO J D. Phys. Rev. C, 2010, 81: 044606[18] Mller P, Madland D G, Sierk A J et al. Nature, 2001, 409: 785[19] Mller P, Sierk A J, Ichikawa T et al. Phys. Rev. C, 2009, 79: 064304[20] LU Bing-Nan, ZHAO En-Guang, ZHOU Shan-Gui. Phys. Rev. C, 2012, 85: 011301(R)[21] Erler J, Langanke K, Loens H P et al. Phys. Rev. C, 2012, 85: 025802[22] Blocki J, Randrup J, Swiatecki W J et al. Ann. Phys., 1977, 105: 427. and references therein[23] LU Xi-Ting. Nuclear Physics. Second Edition. China: Atomic Energy Press, 2000. page referenced[24] HUANG Ming-Hui, ZHANG Zhi-Yuan, GAN Zai-Guo et al. Phys. Rev. C, 2011, 84: 064619[25] WANG Nan, ZHAO En-Guang, Werner Scheid et al. Phys. Rev. C, 2012, 85: 041601(R)[26] Hirsch A S, Bujak A, Finn J E et al. Phys. Rev. C, 1984, 29: 508[27] Pomorski K, Dudek J. Phys. Rev. C, 2003, 67: 044316[28] Myers W D, Swiatecki W J. Ark. Fys., 1967, 36: 343[29] Sierk A J, Nix J R. Phys. Rev. C, 1980, 21: 982[30] Nix J R. Nucl. Phys. A, 1989, 502: 609[31] Hinde D J, Dasgupta M, Leigh J R et al. Phys. Rev. Lett., 1995, 74: 1295[32] Hinde D J, Dasgupta M, Leigh J R. Phys. Rev. C, 1996, 53: 1290

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SUN Qian, SHANGGUAN Dan-Hua and BAO Jing-Dong. A dumbbell model with five parameters describing nuclear fusion or fission[J]. Chinese Physics C, 2013, 37(1): 014102. doi: 10.1088/1674-1137/37/1/014102

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Received: 2012-04-06
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 dumbbell model with five parameters describing nuclear fusion or fission

Corresponding author: BAO Jing-Dong,

Received Date: 2012-04-06

Accepted Date: 1900-01-01

Available Online: 2013-01-05

Abstract: We propose a five-parameter dumbbell model to describe the fusion and fission processes of massive nuclei, where the collective variables are: distance ρ between center-of-mass of two fusing nuclei, neck parameter ν, asymmetry D, two deformation variables β₁ and β₂. The present model has macroscopic qualitative expression of polarization and nuclear collision of head to head, sphere to sphere, waist to waist and so on. The conception of "projectile eating target" based on open mouth and swallow is proposed to describe nuclear fusion process, and then our understanding of the probability of fusion and quasi-fission is in agreement with some previous work. The calculated fission barriers of a lot of compound nuclei are compared with the experimental data.

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A dumbbell model with five parameters describing nuclear fusion or fission

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