Double folding model calculation applied to fusion reactions

ZHANG Gao-Long; LE Xiao-Yun

doi:10.1088/1674-1137/32/10/009

Chinese Physics C> 2008, Vol. 32> Issue(10) : 812-815 DOI: 10.1088/1674-1137/32/10/009

Double folding model calculation applied to fusion reactions

ZHANG Gao-Long ^, ,
LE Xiao-Yun

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The interaction potential between a spherical and a deformed nucleus is calculated within the double-folding model for deformed nuclei. We solve the double folding potential numerically by using the truncated multipole expansion method. The shape, separation and orientation dependence of the interaction potential, fusion cross section and barrier distribution of the system ¹⁶O+¹⁵⁴Sm are investigated by considering the quadrupole and hexadecapole deformations of ¹⁵⁴Sm. It is shown that the height and the position of the barrier depend strongly on the deformation and the orientation angles of the deformed nucleus. These are quite important quantities for heavy-ion fusion reactions, and hence produce great effects on the fusion cross section and barrier distribution.

References

[1]

. Leigh J R et al. Phys. Rev. C, 1995, 52: 31512. LIU Z H, BAO J D. Chin. Phys. Lett., 2004, 21: 14913. ZHANG Gao-Long et al. HEP NP, 2007, 31: 634 (in Chinese)4. LU Xi-Ting. Nuclear Physics. Beijing: Atomic Energy Press, 1980. 178 (in Chinese)5. Satchler G R, Love W G. Phys. Rep., 1979, 55: 1836. Gontchar I I, Hinde D J, Dasgupta M, Morton C R, Newton J O. Phys. Rev. C, 2006, 73: 0346107. Rhoades-Brown M J, Oberacker V E, Seiwert M, Greiner W. Z. Phys. A, 1983, 310: 2878. XU C, REN Z Z. Phys. Rev. C, 2006, 73: 0413019. Chamon L C et al. Phys. Rev. C, 2004, 70: 01460410. De Vries H et al. Atomic Data and Nuclear Data Tables.,1987, 36: 50411. Cooper T et al. Phys. Rev. C, 1976, 13: 108312. WONG C Y. Phys. Rev. Lett., 1973, 31: 76613. WEI J X et al. Phys. Rev. Lett., 1991, 67: 3368

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ZHANG Gao-Long and LE Xiao-Yun. Double folding model calculation applied to fusion reactions[J]. Chinese Physics C, 2008, 32(10): 812-815. doi: 10.1088/1674-1137/32/10/009

ZHANG Gao-Long and LE Xiao-Yun. Double folding model calculation applied to fusion reactions[J]. Chinese Physics C, 2008, 32(10): 812-815. doi: 10.1088/1674-1137/32/10/009 shu

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Received: 2007-12-17
Revised: 2008-03-26

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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

Double folding model calculation applied to fusion reactions

Corresponding author: ZHANG Gao-Long,

Received Date: 2007-12-17

Accepted Date: 2008-03-26

Available Online: 2008-10-05

Abstract:

The interaction potential between a spherical and a deformed nucleus is calculated within the double-folding model for deformed nuclei. We solve the double folding potential numerically by using the truncated multipole expansion method. The shape, separation and orientation dependence of the interaction potential, fusion cross section and barrier distribution of the system ¹⁶O+¹⁵⁴Sm are investigated by considering the quadrupole and hexadecapole deformations of ¹⁵⁴Sm. It is shown that the height and the position of the barrier depend strongly on the deformation and the orientation angles of the deformed nucleus. These are quite important quantities for heavy-ion fusion reactions, and hence produce great effects on the fusion cross section and barrier distribution.

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Double folding model calculation applied to fusion reactions

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