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## Prog. Theor. Phys. Vol. 49 No. 3 (1973) pp. 914-925

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

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

### Abstract:

From the phenomenological viewpoint it is postulated that the Pomeron is approximately represented by an appropriate combination of the self-reproducing branch-cuts (SRC) αP(t)=1±iγ√-t (γ: real) with weak cut-strength (WCS) and the fixed simple-pole (FSP) αP≡1 with or without Arnold and Barnett's shielding-cut (ABSC) mechanism. In order to investigate phenomenological consequences of this postulate, the presently available data on (1) the p-p total cross secion, (2) the real to imaginary ratio of the p-p forward amplitude and (3) the slope parameter os the p-p elastic peak are analysed in the framework of strong exchange-degeneracy (SEXD). Under the assumption of an effective-normal-Regge-trajectory of SEXD type, several important conclusions are obtained with regard to the phenomenological compatibility of SRC of WCS with ABSC mechanism. First, the SRC of WCS will be consistent with FSP in the absence of ABSC, if and only if γ≠0. Secondly, the SRC of WCS will be compatible with FSP in the coexistence of two ABSC αC(t)=1-mπ2+t/4 and \tildeαC(t)=1-mK2+t/4, if and only if γ≡0. Thirdly, the SRC of WCS seems to be contradictory to FSP in the presence of an ABSC αC(t) alone, irrespective of whether or not γ=0.

DOI : 10.1143/PTP.49.914

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### References:

1. See, for example, R. J. N. Phillips, Proceedings of the Amsterdam International Conference on Elementary Particle, edited by A. G. Tenner and M. J. G. Veltman (North-Holland Pub. Co., Amsterdam, 1972), p. 111.
2. M. Holder et al., Phys. Lett. B 35 (1971), 355[CrossRef]; ibid. 35 (1971), 361[CrossRef]; ibid. 36 (1971), 400[CrossRef].
3. U. Amaldi et al., Phys. Lett. B 36 (1971), 504[CrossRef].
4. G. Barbiellini et al., Phys. Lett. B 39 (1972), 663[CrossRef].
5. H. Fujisaki and E. Akiba, Prog. Theor. Phys. 48 (1972), 1294[PTP].
6. R. C. Arnold and R. M. Barnett, Argonne National Lab. preprint, ANL/HEP 7121 (1971), R. M. Barnett, Nucl. Phys. B 37 (1972), 381[CrossRef].
H. Fujisaki, Prog. Theor. Phys. 47 (1972), 2040[PTP]; ibid. 48 (1972), 231[PTP].
7. K. J. Foley et al., Phys. Rev. Lett. 11 (1963), 425[APS].
8. G. G. Beznogikh et al., Phys. Lett. B 30 (1969), 274[CrossRef].
9. K. J. Foley et al., Phys. Rev. Lett. 19 (1976), 857[APS].
10. S. P. Denisov et al., Phys. Lett. B 36 (1971), 415[CrossRef].
11. H. Fujisaki, Prog. Theor. Phys. 44 (1970), 219[PTP]; ibid. 45 (1971), 1352[PTP]; ibid. 45 (1971), 1939[PTP]; ibid. 46 (1971), 577[PTP].
12. R. C. Hwa, Phys. Rev. D 1 (1970), 1790[APS]; Phys. Rev. Lett. 25 (1970), 1728[APS].
13. G. G. Beznogikh et al., Phys. Lett. B 39 (1972), 411[CrossRef].
14. V. N. Gribov, Sov. J. Nucl. Phys. 9 (1969), 246.
15. J. Finkelstein and F. Zachariasen, Phys. Lett. B 34 (1971), 631[CrossRef].
J. R. Fulco and R. L. Sugar, Phys. Rev. D 4 (1971), 1919[APS].
L. Caneschi and A. Schwimmer, Weizman Inst. of Science preprint, WIS 72/10 Ph.
J. S. Ball and F. Zachariasen, California Inst. of Tech. preprint, CALT-68-360.
H. Cheng and T. T. Wu, Proceedings of the 1971 International Symposium on Electron and Photon Interactions at High Energies, edited by N. B. Mistry (Cornell Univ., Ithaca, 1972), p. 147.

### Citing Article(s) :

1. 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
2. Progress of Theoretical Physics Vol. 53 No. 1 (1975) pp. 161-174 :
Phenomenological Consequences of the Shielded Fixed-Pole Pomeron at Very High Energies
Haruo Fujisaki and Kanenobu Tsukahara