EXPLORATION OF OPTIMUM SHAPE IN SYMMETRY FISSION

DAI Guang-Xi; LI Wei-Sheng

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2024年10月30日

Chinese Physics C> 1988, Vol. 12> Issue(5) : 669-672

EXPLORATION OF OPTIMUM SHAPE IN SYMMETRY FISSION

DAI Guang-Xi ^, ,
LI Wei-Sheng

Institute of Modern Physics,Academia Sinica,Lanzhou

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Abstract：
In the paper,large deformation of symmetry fission has been described by a biquadratic surface revolution instead of several quadratic equations.Based on the standard liquid drop model,variation calculation of deformation energy have been performed,a better shape with a gruop of coefficient (bi) than Cassinian ovaloid obtained.The shape with (bi) has lower deformation energy than that of ovaloid,at same separation distances between C.M. of half bodies.The so-called shape optimum Ⅱ with (bi) can generally be used in mass range 200—300. The fission barrier for opt.Ⅱ is lower and thiner than that of the ovaloid,because after the saddle point the potential descends more quickly.The saddle point is a little bit pressed for the shape opt.Ⅱ.There are significant differences of deformation energy between the shape opt.Ⅱ and ovaloid,when neck in middle appears.The neck cross-section of the opt.Ⅱ is larger than that of ovaloid before the scission point be reached,and equal or thiner near the point.

References

[1]	P. Moller, et, al., LA-UR-86-3266.[2] V. S. Stavinsky, et. al., Nucl. Phys. (UISR), T(1968), 1051.[3] G. X. Dai, G. X. Liu, X. M. Liu, Proc. Conf. Harrosgate U. K. 1(1986), C137.[4] 戴光曦，王正大，高能物理与核物理，9(1985)，632,[5] 戴光曦，刘希明，刘国兴，高能物理与核物理，用卵形体描述裂变的动力学探讨，(待发表).

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DAI Guang-Xi and LI Wei-Sheng. EXPLORATION OF OPTIMUM SHAPE IN SYMMETRY FISSION[J]. Chinese Physics C, 1988, 12(5): 669-672.

DAI Guang-Xi and LI Wei-Sheng. EXPLORATION OF OPTIMUM SHAPE IN SYMMETRY FISSION[J]. Chinese Physics C, 1988, 12(5): 669-672. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

EXPLORATION OF OPTIMUM SHAPE IN SYMMETRY FISSION

DAI Guang-Xi ^,
LI Wei-Sheng

Corresponding author: DAI Guang-Xi,

Institute of Modern Physics,Academia Sinica,Lanzhou

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1988-10-05

Abstract: In the paper,large deformation of symmetry fission has been described by a biquadratic surface revolution instead of several quadratic equations.Based on the standard liquid drop model,variation calculation of deformation energy have been performed,a better shape with a gruop of coefficient (bi) than Cassinian ovaloid obtained.The shape with (bi) has lower deformation energy than that of ovaloid,at same separation distances between C.M. of half bodies.The so-called shape optimum Ⅱ with (bi) can generally be used in mass range 200—300. The fission barrier for opt.Ⅱ is lower and thiner than that of the ovaloid,because after the saddle point the potential descends more quickly.The saddle point is a little bit pressed for the shape opt.Ⅱ.There are significant differences of deformation energy between the shape opt.Ⅱ and ovaloid,when neck in middle appears.The neck cross-section of the opt.Ⅱ is larger than that of ovaloid before the scission point be reached,and equal or thiner near the point.