Dependence of the phase of the elastic scattering amplitude on momentum transfer

Author:

Petrov V. A.

Funder

Russian Foundation for Basic Research

Publisher

Pleiades Publishing Ltd

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference11 articles.

1. R. Cahn, “Coulombic–hadronic interference in an eikonal model,” Z. Phys. C, 15, 253–260 (1982); V. Kundrát and M. Lokajíček, “High-energy elastic scattering amplitude of unpolarized and charged hadron,” Z. Phys. C, 63, 619–629 (1994).

2. H. A. Bethe, “Scattering and polarization of protons by nuclei,” Ann. Phys., 3, 190–240 (1958).

3. G. B. West and D. R. Yennie, “Coulomb interference in high-energy scattering,” Phys. Rev., 172, 1413–1422 (1968); R. J. Glauber and G. Matthiae, “High-energy scattering of protons by nuclei,” Nucl. Phys. B, 21, 135–157 (1970); L. Baksay et al., “Measurements of the proton–proton total cross section and small angle elastic scattering at ISR energies,” Nucl. Phys. B, 141, 1–28 (1978); G. Antchev et al. [TOTEM Collab.], “First determination of the $$\rho$$ parameter at $$\sqrt{s}=13$$ TeV: Probing the existence of a colourless C-odd three-gluon compound state,” Eur. Phys. J. C, 79, 785 (2019); J. R. Cudell and O. V. Selyugin, “TOTEM data and the real part of the hadron elastic amplitude at 13 TeV,” arXiv:1901.05863v2 [hep-ph] (2019).

4. A. Martin, Scattering Theory: Unitarity, Analyticity, and Crossing (Lect. Notes Phys., Vol. 3), Springer, Berlin (1969).

5. I. I. Privalov, Introduction to the Theory of Functions of Complex Variables [in Russian], GITTL, Moscow (1948); H. Cartan, Elementary Theory of Analytic Functions of One or Several Complex Variables, Dover, New York (1995); E. C. Titchmarsh, The Theory of Functions, Oxford Univ. Press, Oxford (1939).

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