Multiple-Scattering Expansion for Quasi-Elastic Knockout Reaction (p,2p)

CHEN Xue-Jun; ZHENG Liang-You

Chinese Physics C> 1992, Vol. 16> Issue(1) : 68-74

Multiple-Scattering Expansion for Quasi-Elastic Knockout Reaction (p,2p)

CHEN Xue-Jun ^, ,
ZHENG Liang-You

Department of Physics,Tsinghua University,Beijing 1000841 Department of Physics,Xi'an Jiao-Tong University,Xi'an 710049

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Abstract：
In order to describe the quasi-elastic knockout reactions such as (p,2p) by a method with higher accuracy,the multiple-scattering proposed by the previous work has been developed in this paper based on the time-independent multiple-scattering theory.In particular,T matrix element is expanded as a series form of multiple-scattering terms,T_fi=M(1)M+T(2)M+...It is proved that T(1)M is almost equivalent to the total effects of the first three orders of the Born series.It means that one can only keep the first term,T(1)M and obtain good results.On the other hand,the calculations of T(1)M is simple relatively.As an example,excellent results have been produced by the present method for the pure Coulomb interaction,such as the (e,2e) reactions of atomic hydrogen,and ⁶Li(p,2p)⁵He, reactions.

References

[1]

D. F. Jackson, Direct Cluster Reactioas_Progress Towards a Unified Theory,.in Clustering Phe-nomena is Nuclei, ed. by K. Wildermuth and P. Kramer, 1983.[2] I. E. McCarthy and E. Weigold, Rep. Prog. Phys., 51(1988), 299.[3] 陈学俊，核物理动态，7(1990),27,[4] X. J. C hen(陈学俊)，Phys. Rev., A40(1989), 1795.[5] 陈学俊郑良友，(e,2e)的多重散射展开方法，物理学报，40(1991), 1595.[6] 陈学俊，原子的电子碰撞电离截面的高精度计算，计算物理，待发表.[7] D.F Jackson et al., Nucl. Phys., 62(1965), 353.[8] B. K. Jain and D. F. Jackson, Nucl. Phys., A99(1967), 113.[9] 陈学俊等，(P,2P)核反应截面的高精度计算，计算物理，待发表.[10] 胡济民，原子核理论，第二卷，第70页，原子能出版社，(1987),[11] G. Tibell et al., Ark.Fys., 25(1963), 433.

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CHEN Xue-Jun and ZHENG Liang-You. Multiple-Scattering Expansion for Quasi-Elastic Knockout Reaction (p,2p)[J]. Chinese Physics C, 1992, 16(1): 68-74.

CHEN Xue-Jun and ZHENG Liang-You. Multiple-Scattering Expansion for Quasi-Elastic Knockout Reaction (p,2p)[J]. Chinese Physics C, 1992, 16(1): 68-74. 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

Multiple-Scattering Expansion for Quasi-Elastic Knockout Reaction (p,2p)

CHEN Xue-Jun ^,
ZHENG Liang-You

Corresponding author: CHEN Xue-Jun,

Department of Physics,Tsinghua University,Beijing 1000841 Department of Physics,Xi'an Jiao-Tong University,Xi'an 710049

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1992-01-05

Abstract: In order to describe the quasi-elastic knockout reactions such as (p,2p) by a method with higher accuracy,the multiple-scattering proposed by the previous work has been developed in this paper based on the time-independent multiple-scattering theory.In particular,T matrix element is expanded as a series form of multiple-scattering terms,T_fi=M(1)M+T(2)M+...It is proved that T(1)M is almost equivalent to the total effects of the first three orders of the Born series.It means that one can only keep the first term,T(1)M and obtain good results.On the other hand,the calculations of T(1)M is simple relatively.As an example,excellent results have been produced by the present method for the pure Coulomb interaction,such as the (e,2e) reactions of atomic hydrogen,and ⁶Li(p,2p)⁵He, reactions.