EIKONAL-BORN EXPANSION AND ITS APPLICATION IN LARGE-ANGLE SCATTERING

LU SHI-QI; ZHU XI-QUAN; ZHAO WEI-QIN; BAO CHENG-GUANG

Chinese Physics C> 1981, Vol. 5> Issue(1) : 121-126

EIKONAL-BORN EXPANSION AND ITS APPLICATION IN LARGE-ANGLE SCATTERING

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper, the scattering amplitude is expanded by two eikonal wave functions which propagate along the incoming and outgoing directions respectively to replace the distorted wave functions in DWBA. Then, we obtain a method to calculate the non-relativistic large angle scattering. This method can be easily generalized to relativistically phenomenological dynamical equation.

References

[1]

R-. J. Gauber, "Lectures in Theoretical Physics" 1(1959), 315.[2] W. E. Frahn and B. Schurmann, Ann. Phys., 84(1974), 147.[3] S. J. Wallets, Ann. Phys., 78(1973), 190.[4] 姜焕清、李扬国,高能物理与核物理,2(1978),411.[5] M. Levy and J. Sucher Phys. Rev., 186(1969), 1656.[6] B. Bakamjian and L. H. Thomas, Phys. Rev., 92(1953), 1300.[7] V. G. Kadyahevsky, Nucl. Phys., B6(1968),125.[8] 鲍诚光、赵维勤,高能物理与核物理,2(1978),336.[9] R.L Sugar and R. Blankenbecler, Phys. Rev., 183(1969), 1387.

[1]	Xiao-Xiong Zeng , Hai-Qing Zhang . Thermodynamics and weak cosmic censorship conjecture in Born-Infeld-anti-de Sitter black holes. Chinese Physics C, 2021, 45(2): 025112. doi: 10.1088/1674-1137/abd088
[2]	Shihao Bi , Minghao Du , Jun Tao , Feiyu Yao . Joule-Thomson expansion of Born-Infeld AdS black holes. Chinese Physics C, 2021, 45(2): 025109. doi: 10.1088/1674-1137/abcf23
[3]	Hong Ma , Jin Li . Dirac quasinormal modes of Born-Infeld black hole spacetimes. Chinese Physics C, 2020, 44(9): 095102. doi: 10.1088/1674-1137/44/9/095102
[4]	Wei-Xiang Feng , Chao-Qiang Geng , Ling-Wei Luo . The Buchdahl stability bound in Eddington-inspired Born-Infeld gravity. Chinese Physics C, 2019, 43(8): 083107. doi: 10.1088/1674-1137/43/8/083107
[5]	Jing-Jing Li , Dan-Yang Pang , Yan-Lin Ye , Jian-Ling Lou , Xiao-Fei Yang , Yang Liu , Biao Yang . Improved eikonal approach for charge exchange reactions at intermediate energies. Chinese Physics C, 2019, 43(12): 124102. doi: 10.1088/1674-1137/43/12/124102
[6]	Xiang-Kun Dong , Liang-Liang Wang , Chang-Zheng Yuan . Derived Born cross sections of e⁺e^- annihilation into open charm mesons from CLEO-c measurements. Chinese Physics C, 2018, 42(4): 043002. doi: 10.1088/1674-1137/42/4/043002
[7]	Gu-Qiang Li . Hawking radiation and entropy of a black hole in Lovelock-Born-Infeld gravity from the quantum tunneling approach. Chinese Physics C, 2017, 41(4): 045103. doi: 10.1088/1674-1137/41/4/045103
[8]	LIU Xue-Wen , KE Hong-Wei , DING Yi-Bing , LI Xue-Qian . Study of the structures of four-quark states in terms of the Born-Oppenheimer approximation. Chinese Physics C, 2015, 39(8): 083103. doi: 10.1088/1674-1137/39/8/083103
[9]	LV Hai-Jiang , YE Yun-Xiu , YAN Xin-Hu , JIANG Yi , ZHANG Pei , YE Qiu-Jian . Particle Identification and Its Efficiency for Small Angle GDH Experiment in JLab Hall-A. Chinese Physics C, 2007, 31(8): 764-768.
[10]	HAN Jian-Long , WANG Qi , XIAO Zhi-Gang , XU Hu-Shan , SUN Zhi-Yu , HU Zheng-Guo , ZHANG Xue-Yin , WANG Hong-Wei , MAO Rui-Shi , YUAN Xiao-Hua , XU Zhi-Guo , ZHAO Tie-Cheng , , , , . Exotic Behavior of Elastic Scattering Differential Cross-Sections of Weakly Bound Nucleus ¹⁷F at Small Angles. Chinese Physics C, 2006, 30(11): 1058-1061.
[11]	HU PengYun , WANG Qi , TIAN WenDong , LI SongLin , LU Jun . Measurement of Angular Cross Correlation of the Cross Section Fluctuation in Dissipative Collision ²⁷Al+²⁷Al. Chinese Physics C, 2000, 24(2): 119-124.
[12]	HUI Ping . Improvement of the Coupled Cluster Method. Chinese Physics C, 2000, 24(6): 490-494.
[13]	Lu Jun , Wang Qi , Xu Hushan , Li Songlin , Zhu Yongtai , Yin Xu , Fan Enjie , Zhang Yuhu , Li Zhichang , Zhao Kui , Lu Xiuqin , Hu Xiaoqing . The Angular Dependence of the Coherence Energy in Dissipative Reaction of ¹⁹F+⁵¹V. Chinese Physics C, 1997, 21(1): 15-20.
[14]	BES Collaboration . A Study of the Processes of e⁺e^－→e⁺e^－,μ⁺μ^－ at Large Angle and Measured Luminosities. Chinese Physics C, 1997, 21(2): 97-103.
[15]	DENG Wei-Zhen , YANG Ze-Sen , WANG Yu-Cheng . A Non-Hermitian Approach of Dyson Boson Expansion to Interacting Boson Model. Chinese Physics C, 1993, 17(10): 907-911.
[16]	Zhu Qiming , Zhou Huashi , Jiang Chunhua , Ni Huiling . Determining the Luminosity for BES by Spectrum Analysis of Bhabha Events in Small Angle. Chinese Physics C, 1993, 17(12): 1057-1064.
[17]	CHEN Xue-Jun , ZHENG Liang-You . Multiple-Scattering Expansion for Quasi-Elastic Knockout Reaction (p,2p). Chinese Physics C, 1992, 16(1): 68-74.
[18]	LI Qing-Run . LARGE-ANGLE ELASTIC SCATTERING OF π⁺ AND π^－ FROM ¹⁶O AT 114MeV. Chinese Physics C, 1988, 12(4): 509-512.
[19]	ZHAO XIAO-LIN , CHEN BAO-QIU , JIN XIN-NAN . APPLICATION OF THE EIKONAL WAVE FUNCTION TO QUASIFREE SCATTERING. Chinese Physics C, 1982, 6(3): 323-329.
[20]	Yang Ze-sen . THE ADIABATIC-BORN APPROXIMATION OF THE OPTICAL MODEL FOR DEFORMED NUCLEI. Chinese Physics C, 1980, 4(6): 778-783.

Access

Get Citation

LU SHI-QI, ZHU XI-QUAN, ZHAO WEI-QIN and BAO CHENG-GUANG. EIKONAL-BORN EXPANSION AND ITS APPLICATION IN LARGE-ANGLE SCATTERING[J]. Chinese Physics C, 1981, 5(1): 121-126.

LU SHI-QI, ZHU XI-QUAN, ZHAO WEI-QIN and BAO CHENG-GUANG. EIKONAL-BORN EXPANSION AND ITS APPLICATION IN LARGE-ANGLE SCATTERING[J]. Chinese Physics C, 1981, 5(1): 121-126. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1979-08-23
Revised: 1900-01-01

Article Metric

Article Views(1734)
PDF Downloads(264)
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

EIKONAL-BORN EXPANSION AND ITS APPLICATION IN LARGE-ANGLE SCATTERING

Received Date: 1979-08-23
Accepted Date: 1900-01-01
Available Online: 1981-05-05

Abstract: In this paper, the scattering amplitude is expanded by two eikonal wave functions which propagate along the incoming and outgoing directions respectively to replace the distorted wave functions in DWBA. Then, we obtain a method to calculate the non-relativistic large angle scattering. This method can be easily generalized to relativistically phenomenological dynamical equation.