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Prog. Theor. Phys. Vol. 41 No. 4 (1969) pp. 1041-1045

Branch Cut Contributions to Backward Unequal-Mass Scattering Processes

Takashi Obara

Department of Physics and Atomic Energy, Research Institute, College of Science and Engineering, Nihon University, Tokyo

(Received November 14, 1968)

Abstract:

We examine the contributions of moving branch point α_c (u) in the l-plane to the backward unequal-mass scattering amplitude. It is shown that Khuri amplitudes b(u, ν) and c(u, ν) have cuts starting from ν= α_c - k, Reν> - ½. The defect of Regge representation owing to unequal-mass kinematics is remedied by introducing the daughter branch point trajectories α_cⁿ (u), satisfying α_cⁿ (0) = α_c⁰ (0) - n, of signature (-1)ⁿ. The asymptotic form of cut contributions is t^α_c(ln t) ^{-ξ- 1}.

URL : http://ptp.ipap.jp/link?PTP/41/1041/
DOI : 10.1143/PTP.41.1041

[ Full Text PDF : FREE ACCESS (245K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. S. Mandelstam, Nuovo Cim. 30 (1963), 1148.
2. C. Jones and V. Teplitz, Phys. Rev. 159 (1967), 1271[APS].
3. V. Gribov and I. Pomeranchuk, Phys. Lett. 2 (1962), 239[CrossRef].
4. J. Bronzan and C. Jones, Phys. Rev. 160 (1967), 1494[APS].
5. D. Freedman and J. Wang, Phys. Rev. 153 (1967), 1596[APS].
6. N. Khuri, Phys. Rev. 132 (1963), 914[APS].
7. “Tables of Integral Transforms”, Vol. 1 (Bateman Manuscript Project), p. 137.
8. D. Freedman, C. Jones and J. Wang, Phys. Rev. 155 (1967), 1645[APS].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 44 No. 5 (1970) pp. 1307-1311 :

   Regge Pole Theory and Unitarity

   Takashi Obara

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