Unitarization of the Veneziano Amplitude: A Simple Potential-Theory Model

Robert J. Yaes

doi:10.1103/PhysRevD.2.2803

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Unitarization of the Veneziano Amplitude: A Simple Potential-Theory Model

Robert J. Yaes^*

Center for Particle Theory, Department of Physics, The University of Texas, Austin, Texas 78712

^*Present address: Department of Physics, Illinois Institute of Technology, Chicago, Ill. 60616.

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Phys. Rev. D 2, 2803 – Published 15 December, 1970

DOI: https://doi.org/10.1103/PhysRevD.2.2803

Abstract

In order to see what we would expect to happen to the poles in the Veneziano amplitude if we were able to unitarize it, we consider a potential-theory model with an energy-dependent potential with poles on the real axis. We show how in the $T$ matrix the poles are removed from the real axis since their residues vanish. In the unitarized single-pole approximation, we see explicitly how corresponding poles appear on the second sheet.

References (9)

G. Veneziano, Nuovo Cimento 57A, 190 (1968)
B. A. Lippmann and J. Schwinger, Phys. Rev. 79, 469 (1950)
V. A. Alessandrini and R. L. Omnes, Phys. Rev. 139, B167 (1965)
[G. Tiktopoulos, Phys. Letters 29B, 185 (1969) U. Trivedi, Phys. Rev. 188, 2241 (1969)]
R. J. Yaes, Phys. Rev. 170, 1236 (1968)
P. N. Bogoliubov, Dubna Report (unpublished)
R. D. Amado, Phys. Rev. 132, 485 (1963)
J. G. Taylor, Nuovo Cimento Suppl. 1, 988 (1963) R. W. Haymaker and R. Blankenbecler, Phys. Rev. 171, 1581 (1968)
R. J. Yaes, Phys. Rev. D 2, 2457 (1970)

[c1] G. Veneziano, Nuovo Cimento 57A, 190 (1968)

[c2] B. A. Lippmann and J. Schwinger, Phys. Rev. 79, 469 (1950)

[c3] V. A. Alessandrini and R. L. Omnes, Phys. Rev. 139, B167 (1965)

[c4] [G. Tiktopoulos, Phys. Letters 29B, 185 (1969) U. Trivedi, Phys. Rev. 188, 2241 (1969)]

[c5] R. J. Yaes, Phys. Rev. 170, 1236 (1968)

[c6] P. N. Bogoliubov, Dubna Report (unpublished)

[c7] R. D. Amado, Phys. Rev. 132, 485 (1963)

[c8] J. G. Taylor, Nuovo Cimento Suppl. 1, 988 (1963) R. W. Haymaker and R. Blankenbecler, Phys. Rev. 171, 1581 (1968)

[c9] R. J. Yaes, Phys. Rev. D 2, 2457 (1970)

Physical Review D

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Unitarization of the Veneziano Amplitude: A Simple Potential-Theory Model

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References (9)

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