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

BAO CHENG-GUANG; CHAO WEI-CHIN

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2024年10月30日

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

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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.

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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

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

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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.