Consequences of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>t</mi></math></span>-Channel Unitarization in the Strong Regge-Cut Model

Nanda Mukherji; Bipin R. Desai

doi:10.1103/PhysRevD.7.470

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Consequences of $t$ -Channel Unitarization in the Strong Regge-Cut Model

Nanda Mukherji and Bipin R. Desai

Department of Physics, University of California, Riverside, California 92502

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Phys. Rev. D 7, 470 – Published 15 January, 1973

DOI: https://doi.org/10.1103/PhysRevD.7.470

Abstract

Using the $K$ -matrix method the amplitude predicted by the strong Regge-cut model is made consistent with $t$ -channel unitarity. The resulting amplitude is found to have complex-conjugate Regge poles, $α_{R} \pm i α_{I}$ , for $t \leq 0$ on the physical sheet of the $j$ plane. Its $j$ -plane discontinuity has a sharp peak at $j = α_{R}$ . The contribution of the discontinuity near the tip of the cut, $j = α_{c}$ , as well as the problem of approximating the entire discontinuity integral by complex poles are discussed.

References (6)

F. Henyey, G. L. Kane, J. Pumplin, and M. H. Ross, Phys. Rev. 182, 1579 (1969)
P. Kaus and F. Zachariasen, Phys. Rev. D 1, 2962 (1970) R. Oehme, Phys. Letters 20B, 414 (1969) Phys. Rev. D 4, 1485 (1971)
J. S. Ball, G. Marchesini, and F. Zachariasen, Phys. Letters 31B, 583 (1970)
Omitted endnote
J. B. Bronzan and C. E. Jones, Phys. Rev. 160, 1494 (1967)
Omitted endnote

[c1] F. Henyey, G. L. Kane, J. Pumplin, and M. H. Ross, Phys. Rev. 182, 1579 (1969)

[c2] P. Kaus and F. Zachariasen, Phys. Rev. D 1, 2962 (1970) R. Oehme, Phys. Letters 20B, 414 (1969) Phys. Rev. D 4, 1485 (1971)

[c3] J. S. Ball, G. Marchesini, and F. Zachariasen, Phys. Letters 31B, 583 (1970)

[c4] Omitted endnote

[c5] J. B. Bronzan and C. E. Jones, Phys. Rev. 160, 1494 (1967)

[c6] Omitted endnote

Physical Review D

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Consequences of $t$ -Channel Unitarization in the Strong Regge-Cut Model

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Consequences of t-Channel Unitarization in the Strong Regge-Cut Model

Abstract

References (6)

Consequences of $t$ -Channel Unitarization in the Strong Regge-Cut Model