Direct-Channel Reggeization of Strong-Interaction Scattering Amplitudes. I

Stephen P. Creekmore

doi:10.1103/PhysRevD.3.1400

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Direct-Channel Reggeization of Strong-Interaction Scattering Amplitudes. I

Stephen P. Creekmore^*,†

California Institute of Technology, Pasadena, California 91109

^*Work partially supported by a Rand Fellowship (1967-68) and an NSF Summer Traineeship (1968).
^†Present address: The Aerospace Corporation, El Segundo, Calif.

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Phys. Rev. D 3, 1400 – Published 15 March, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.1400

Abstract

The construction of Reggeized strong-interaction amplitudes is discussed in a series of three papers. In this paper (Paper I), the amplitude is expanded in a partial-wave series with the individual partial-wave amplitudes represented as products over direct-channel Regge-pole contributions. Unitarity bounds automatically hold for direct-channel processes. Such representations are shown to account for the essential features of both elastic and inelastic scattering, in terms of the Regge trajectories on several Riemann sheets. It is shown that difficulties usually associated with rising trajectories are naturally avoided in this formulation.

References (16)

Hung Cheng, Phys. Rev. 144, 1237 (1966) W. J. Abbe, P. Kaus, P. Nath, and Y. N. Srivastava, ibid. 140, B1595 (1965)
Omitted endnote
Hung Cheng and Tai Tsun Wu, Phys. Rev. 144, 1232 (1966)
[3] ([1]) N. N. Khuri, Phys. Rev. 130, 429 (1963) S. Mandelstam, Ann. Phys. (N. Y.) 19, 254 (1962)
([4])
B. R. Desai and R. G. Newton, Phys. Rev. 129, 1445 (1963) ([1]) ([1]) W. J. Abbe et al., Phys. Rev. 141, 1513 (1966) W. J. Abbe and G. A. Gary, ibid. 160, 1510 (1967)
C. Lovelace, CERN Report No. TH. 837, 1967 (unpublished)
Loyal Durand, III, Phys. Rev. 166, 1680 (1968)
S. Mandelstam, Phys. Rev. 166, 1539 (1968) N. N. Khuri, Phys. Rev. Letters 18, 1094 (1967)
Omitted endnote
Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1965), p. 377
[11], p. 378
Omitted endnote
E. W. Hobson, Spherical and Ellipsoidal Harmonics (Chelsea, New York, 1965), p. 407
Omitted endnote
V. Barger, review paper, in Proceedings of the CERN Topical Conference on High-Energy Collisions of Hadrons, 1968 (CERN, Geneva, 1968), Vol. I

[c1] Hung Cheng, Phys. Rev. 144, 1237 (1966) W. J. Abbe, P. Kaus, P. Nath, and Y. N. Srivastava, ibid. 140, B1595 (1965)

[c2] Omitted endnote

[c3] Hung Cheng and Tai Tsun Wu, Phys. Rev. 144, 1232 (1966)

[c4] [3] ([1]) N. N. Khuri, Phys. Rev. 130, 429 (1963) S. Mandelstam, Ann. Phys. (N. Y.) 19, 254 (1962)

[c5] ([4])

[c6] B. R. Desai and R. G. Newton, Phys. Rev. 129, 1445 (1963) ([1]) ([1]) W. J. Abbe et al., Phys. Rev. 141, 1513 (1966) W. J. Abbe and G. A. Gary, ibid. 160, 1510 (1967)

[c7] C. Lovelace, CERN Report No. TH. 837, 1967 (unpublished)

[c8] Loyal Durand, III, Phys. Rev. 166, 1680 (1968)

[c9] S. Mandelstam, Phys. Rev. 166, 1539 (1968) N. N. Khuri, Phys. Rev. Letters 18, 1094 (1967)

[c10] Omitted endnote

[c11] Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1965), p. 377

[c12] [11], p. 378

[c13] Omitted endnote

[c14] E. W. Hobson, Spherical and Ellipsoidal Harmonics (Chelsea, New York, 1965), p. 407

[c15] Omitted endnote

[c16] V. Barger, review paper, in Proceedings of the CERN Topical Conference on High-Energy Collisions of Hadrons, 1968 (CERN, Geneva, 1968), Vol. I

Physical Review D

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Direct-Channel Reggeization of Strong-Interaction Scattering Amplitudes. I

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See Also

Direct-Channel Reggeization of Strong-Interaction Scattering Amplitudes. III

Direct-Channel Reggeization of Strong-Interaction Scattering Amplitudes. II

References (16)

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