Chinese Physics C > 1978, Vol. 2 > Issue(4): 336-342

A RELATIVISTIC CORRECTION TO THE GLAUBER THEORY AND THE HIGH ENERGY BEHAVIOR OF THE SCATTERING AMPLITUDE

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper, the basis of the Glauber theory is changed from the schrodinger equation to a relativistic equation, which is then solved using eikonal approximation to investigate the high energy behavior of the scattering amplitude and its relationship with phenomenological nuclear forces. A correction to the Glauber theory including the modification of transverse and longitudinal momentum transfer is also proposed.

References

[1]

R. J. Glauber, "Lectures in Theoretical Physies", Vol. 1(1959),315.[2] P. A. M. Dirac, Rev. Mod. Phys., 21(1949), 392.[3] B. Bakamjian, L. H. Thomas, Phys. Rev., 92(1953),1300; L. L. Foldy，Phys. Rev., 102(1956),568; 122(1961), 275; F. Coester, Helv. Phys. Acta,38(1965), 7; R. Fong, J. Sucker, J. Math.Phys., 5(1964), 456.[4] F. Coester, Phys. Rev., Cll(1975), 1836.[5] G. S. Chierholz, Nucl. Phys., B7 (1968 ) , 432; 483.[6] L. Heller et al., Phys. Rev., C13(1976), 742.[7] J. S. Kang et at., Phys. Rev., D12(1975), 841.[8] D. W. Rule, Y. Hahn, Phys. Rev., C12(1975), 1616.[9] V. R. Garsevanishvity et al，Particles and Nuclei, Vol. 1, Part 1, 52.[10] H. Feshbach, Ann. Phys., 56(1970), 268; 66(1971), 20; A. Kerman, H. McManus, R. Thalar. Ann.Phys, 8(1959),551.[11] J. M. Eisenberg, Ann. Phys., 71(1972), 542.[12] 鲍诚光、赵维勤，Bakamjian-Thomas理论中的相移行为，(待发表).[13] A. W. Chao, C. N. Yang, Phys. Rev., D8(1973), 2063; A. W. Chao, T. T. Wu, C. N. Yang, Ref. Th. 2224-CERN, (1976).[14] H. Cheng, T. T. Wu, Phys. Rev. Lett., 24(1970), 1456.

[1]	FAN Guang-Wei,XU Wang,PAN Qiang-Yan,CAI Xiao-Lu,FAN Gong-Tao,LI Yong-Jiang,LUO Wen,XU Ben-Ji,YAN Zhe,YANG Li-Feng. Radius studies of⁸Li and⁸B using the optical-limit Glauber model in conjunction with relativistic mean-field theory. Chinese Physics C, 2010, 34(10): 1622-1627.doi:10.1088/1674-1137/34/10/013
[2]	WU Cui-E,Yamaguchi Y,Ozawa A,Tanihata I,YE Yan-Lin. Measurement of Reaction Cross Section for¹⁷C and Finite-Range Glauber Model Analysis. Chinese Physics C, 2004, 28(8): 810-813.
[3]	LI Jia-Xing,WANG Jian-Song,GUO Zhong-Yan,XIAO Guo-Qing,ZHAN Wen-Long,SUN Zhi-Yu,WANG Meng,HU Zheng-Guo,CHEN Li-Xin,LI Chen,MAO Rui-Shi. Fitting the Data of Exotic Structural Nuclear Total Reaction Cross Section with a Corrected Glauber Model. Chinese Physics C, 2004, 28(10): 1050-1054.
[4]	WANG Quan-Jin,YE Yan-Lin,JIANG Dong-Xing,HUA Hui,LI Zhi-Huan,CHEN Tao,LI Xiang-Qing,GE Yu-Cheng. Influence of Energy-Modified Glauber Model on Total Reaction Cross Section at Intermediate-Energy. Chinese Physics C, 2002, 26(8): 818-822.
[5]	GUO Wen-Jun,JIANG Huan-Qing,LIU Jian-Ye. Improved Glauber Theory and the Total Reaction Cross Section of the Nucleus-Nucleus Collision. Chinese Physics C, 2001, 25(11): 1092-1099.
[6]	ZHAO Yao-Lin,MA Zhong-Yu,CHEN Bao-Qiu,SUN Xiu-Quan. Extended Glauber Theory and Its Application in Halo Nucleus Scattering. Chinese Physics C, 2001, 25(6): 506-513.
[7]	Wang Chengshing,Zhao Qiang,Tang Ping. Glauber Theory on Transverse Energy Distributions in Ultra-Relativistic Heavy Ion Collisions. Chinese Physics C, 1996, 20(S2): 149-154.
[8]	Wang Zhengxing,Zhao Qiang,Tang Ping. Glauber Theory on Transverse Energy Distributions in Ultra-Relatidstic Heavy Ion Collisions. Chinese Physics C, 1996, 20(3): 234-239.
[9]	Li Yangguo,Zhang Yushun. Low-Energy Antiproton-Nucleus Scattering and Glauber Theory. Chinese Physics C, 1995, 19(4): 348-353.
[10]	ZHEN Yi,PI Bo,NI Guang-Jiong. THE QUANTUM CORRECTIONS ON THE THEORY OF TRANSITION RADIATION. Chinese Physics C, 1987, 11(3): 347-354.
[11]	LIU Yuan,LI Yang-Guo. RELATIVISTIC DESCRIPTION OF PROTON-NUCLEUS ELASTIC SCATTERING AT HIGH ENERGIES. Chinese Physics C, 1987, 11(1): 68-77.
[12]	LI Yang-Guo,LIU Yuan,ZHANG Yu-Shun. GLAUBER'S METHOD AND NUCLEUS-NUCLEUS INELASTIC SCATTERING AT HIGH ENERGY. Chinese Physics C, 1986, 10(2): 198-206.
[13]	LI Yang-Guo. COMPLEX AMPLITUDE OF GEOMETRICAL MODEL AND pp SCATTERING. Chinese Physics C, 1985, 9(1): 125-128.
[14]	TAN Zheng-Qiang,JIANG Yi-An,CHEN Ke-Zhong,LI Qing-Run. A COMPARISON BETWEEN GLAUBER'S EXACT EXPANTION FORMULA AND THE RIGID PROJECTILE APPROXIMATION. Chinese Physics C, 1983, 7(4): 481-488.
[15]	LIU SHIAN-HUI,LI YANG-GUO. SPIN EFFECT AND π-N OFF SHELL AMPLITUDE CORRECTION ON π-NUCLEUS DOUBLE CHARGE EXCHANGE REACTION. Chinese Physics C, 1982, 6(3): 292-296.
[16]	ZHANG YU-SHUN,WANG WEI-WEI,RUAN TU-NAN. HIGH ENERGY CLUSTER SCATTERING THEORY OF MANY PARTICLES SYSTEM. Chinese Physics C, 1982, 6(1): 55-63.
[17]	ZHANG YU-SHUN,LI YANG-GUO,WANG WEI-WEI,RUAN TU-NAN. HIGH ENERGY SCATTERING THEORY WITH COLLECTIVE COORDINATE. Chinese Physics C, 1982, 6(4): 413-420.
[18]	LIu YuAN,LI YANG-GUO,WANG RU-LIN. ALPHA-ALPHA ELEMENTARY AMPLITITUDE AND HIGH ENERGY NUCLEI-NUCLEI COLLISION. Chinese Physics C, 1981, 5(3): 292-297.
[19]	BAo GUAN-XIONG. GLAUBER QUARK MODEL WITH SPIN EFFECT. Chinese Physics C, 1981, 5(1): 141-144.
[20]	Li Yang-guo,Zhang Yu-shun,Chen Xiao-tian,Yuan Tu-nan. MULTIPLE SCATTERING THEORY AND HIGH ENERGY p-p ELASTIC SCATTERING. Chinese Physics C, 1980, 4(6): 715-723.

Access

Get Citation

BAO CHENG-GUANG and CHAO WEI-CHIN. A RELATIVISTIC CORRECTION TO THE GLAUBER THEORY AND THE HIGH ENERGY BEHAVIOR OF THE SCATTERING AMPLITUDE[J]. Chinese Physics C, 1978, 2(4): 336-342.

BAO CHENG-GUANG and CHAO WEI-CHIN. A RELATIVISTIC CORRECTION TO THE GLAUBER THEORY AND THE HIGH ENERGY BEHAVIOR OF THE SCATTERING AMPLITUDE[J]. Chinese Physics C, 1978, 2(4): 336-342. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1977-08-03
Revised: 1978-01-27

Article Metric

Article Views(2969)
PDF Downloads(9)
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

A RELATIVISTIC CORRECTION TO THE GLAUBER THEORY AND THE HIGH ENERGY BEHAVIOR OF THE SCATTERING AMPLITUDE

BAO CHENG-GUANG
CHAO WEI-CHIN

Received Date:1977-08-03
Accepted Date:1978-01-27
Available Online:1978-08-05

Abstract:In this paper, the basis of the Glauber theory is changed from the schrodinger equation to a relativistic equation, which is then solved using eikonal approximation to investigate the high energy behavior of the scattering amplitude and its relationship with phenomenological nuclear forces. A correction to the Glauber theory including the modification of transverse and longitudinal momentum transfer is also proposed.