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Prog. Theor. Phys. Vol. 51 No. 5 (1974) pp. 1503-1512

On Reggeized Absorption in the Presence of a Grey Disc Pomeron of Ball and Zachariasen Type

Haruo Fujisaki

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

(Received November 7, 1973)

Abstract:

Theoretical consequences of absorptive correction to the Reggeonic amplitude are studied under the assumption of a grey disc Pomeron of Ball and Zachariasen type. By the use of the procedure of the double-partial-wave amplitude recently proposed by Bronzan and Sugar, three typical conclusions are obtained with regard to the structure of l-plane singularities associated with Reggeized absorption. First, the Reggeonic amplitude with absorption has three different types of moving branch cuts in the l-plane, i.e., a logarithmic branch cut, two pairs of colliding branch cuts of logarithmic type and a pair of colliding branch cuts of square-root type. Secondly, the input Regge pole of linear trajectory-function remains unmodified on the physical sheet of l-plane. Thirdly, there is an energy-independent domain, |t|< constant, of momentum transfers in which the asymptotic behaviour of the full Reggeonic amplitude is controlled by the input Regge pole. These conclusions bring out in striking contrast the difference between grey and black disc Pomerons.

URL : http://ptp.ipap.jp/link?PTP/51/1503/
DOI : 10.1143/PTP.51.1503

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See Also:

• Progress of Theoretical Physics Vol. 54 No. 1 (1975) pp. 292-292 :

  Erratum : On Reggeized Absorption in the Presence of a Grey Disc Pomeron of Ball and Zachariasen Type

  Haruo Fujisaki

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References:

1. G. B. Yodh, Y. Pal and J. S. Trefil, Phys. Rev. Lett. 28 (1972), 1005[APS].
2. U. Amaldi et al., Phys. Lett. B 44 (1973), 112[CrossRef].
   S. R. Amendolia et al., Phys. Lett. B 44 (1973), 119[CrossRef].
3. U. Amaldi, CERN preprint NP Internal Report 73-5 (1973).
   F. Zachariasen, California Inst. of Tech., preprint CALT-68-385 (1973).
4. J. B. Bronzan and R. L. Sugar, Univ. of California, Santa Barbara, preprint (1973).
5. J. S. Ball and F. Zachariasen, Phys. Lett. B 40 (1972), 411[CrossRef]; ibid. 41 (1972), 525[CrossRef].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 51 No. 6 (1974) pp. 1874-1878 :

   Comments on Double-Partial-Wave Calculus of Absorptive Regge Singularities

   Haruo Fujisaki,Ei-ichi Akiba and Shigeharu Mutoh

2. Progress of Theoretical Physics Vol. 52 No. 1 (1974) pp. 196-199 :

   Comments on Double-Partial-Wave Calculus of Absorptive Regge Singularities. II

   Haruo Fujisaki, Shigeharu Mutoh and Ei-ichi Akiba

3. Progress of Theoretical Physics Vol. 52 No. 2 (1974) pp. 596-601 :

   On Reggeized Absorption in the Presence of the Shielded Fixed-Pole Pomeron

   Haruo Fujisaki

4. Progress of Theoretical Physics Vol. 52 No. 2 (1974) pp. 729-730 :

   Comments on Reggeized Absorption in the Presence of the Grey Disc Pomeron with Schwarz-Type Trajectory Function

   Haruo Fujisaki

5. Progress of Theoretical Physics Vol. 53 No. 2 (1975) pp. 593-595 :

   Geometrical Scaling and Reggeized Absorption

   Haruo Fujisaki

6. Progress of Theoretical Physics Vol. 53 No. 5 (1975) pp. 1420-1430 :

   Duality, Absorption and the Dipole Pomeron

   Haruo Fujisaki

7. Progress of Theoretical Physics Vol. 55 No. 1 (1976) pp. 185-190 :

   Reggeized Absorption with Input Pole Enhancement

   Haruo Fujisaki

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