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Prog. Theor. Phys. Vol. 46 No. 2 (1971) pp. 577-589

Consistency Conditions on the Cut Strength of the Self-Reproducing Pomeron

Haruo Fujisaki

Department of Physics, Rikkyo University, Nishi-Ikebukuro, Tokyo

(Received March 8, 1971)

Abstract:

Consistency conditions on the discondinuity across the self-reproducing Pomeron are investigated by the use of modified Reggeon-unitarity conditions for coupled channels. Under the assumption of a standard parametrization of discontinuity, it is shown that the cut strength is factorizable in the immediate neighbourhood of the Pomeranchuk branch point, and that the divergent self-reproducing Pomeron is consistent with the coupled-channel unitarity. It is also argued that unique determination of the cut strength of the Pomeron will be impossible on the self-consistency basis of the universality of the Pomeron and the coupled channel unitarity. All of these properties are irrespective of whether the Pomeron is a fixed branch cut or a pair of colliding branch cuts.

URL : http://ptp.ipap.jp/link?PTP/46/577/
DOI : 10.1143/PTP.46.577

[ Full Text PDF : FREE ACCESS (646K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. H. Fujisaki, Prog. Theor. Phys. 44 (1970), 219[PTP].
2. H. Fujisaki, Prog. Theor. Phys. 45 (1971), 1939[PTP].
3. H. Fujisaki, Prog. Theor. Phys. 45 (1971), 1352[PTP].
4. V. N. Gribov, I. Ya. Pomeranchuk and K. A. Ter-Martirosyan, Phys. Rev. B 139 (1965), 184[APS].
5. R. C. Hwa, Phys. Rev. D 1 (1970), 1790[APS].
6. J. B. Bronzan and C. E. Jones, Phys. Rev. 160 (1967), 1494[APS].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 47 No. 2 (1972) pp. 619-625 :

   On the Quasistability of the Pomeron

   Haruo Fujisaki

2. Progress of Theoretical Physics Vol. 48 No. 4 (1972) pp. 1294-1307 :

   Phenomenological Consequences of Arnold and Barnett's Shielding-Cut Mechanism in Proton-Proton Diffraction Scattering

   Haruo Fujisaki and Ei-ichi Akiba

3. Progress of Theoretical Physics Vol. 49 No. 3 (1973) pp. 914-925 :

   On the Phenomenological Compatibility of the Self-Reproducing-Cut Pomeron with Arnold and Barnett's Shielding-Cut Mechanism in Proton-Proton Diffraction Scattering

   Haruo Fujisaki and Ei-ichi Akiba

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