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Open Physics

formerly Central European Journal of Physics

Editor-in-Chief: Seidel, Sally

Managing Editor: Lesna-Szreter, Paulina


IMPACT FACTOR 2017: 0.755
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ISSN
2391-5471
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Volume 10, Issue 4

Issues

Volume 13 (2015)

On the role of longitudinal momenta in high energy hadron-hadron scattering

Igor Sharf
  • Department of Theoretical and Experimental Nuclear Physics, Odessa National Polytechnic University, Shevchenko av. 1, 65044, Odessa, Ukraine
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/ Andrii Tykhonov
  • Department of Theoretical and Experimental Nuclear Physics, Odessa National Polytechnic University, Shevchenko av. 1, 65044, Odessa, Ukraine
  • Department of Experimental Particle Physics, Jozef Stefan Institute, Jamova 39, SI-1000, Ljubljana, Slovenia
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/ Grygorii Sokhrannyi
  • Department of Theoretical and Experimental Nuclear Physics, Odessa National Polytechnic University, Shevchenko av. 1, 65044, Odessa, Ukraine
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/ Maksym Deliyergiyev
  • Department of Theoretical and Experimental Nuclear Physics, Odessa National Polytechnic University, Shevchenko av. 1, 65044, Odessa, Ukraine
  • Department of Experimental Particle Physics, Jozef Stefan Institute, Jamova 39, SI-1000, Ljubljana, Slovenia
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/ Natalia Podolyan
  • Department of Theoretical and Experimental Nuclear Physics, Odessa National Polytechnic University, Shevchenko av. 1, 65044, Odessa, Ukraine
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/ Vitaliy Rusov
  • Department of Theoretical and Experimental Nuclear Physics, Odessa National Polytechnic University, Shevchenko av. 1, 65044, Odessa, Ukraine
  • Department of Mathematics, Bielefeld University, Universitatsstrasse 25, 33615, Bielefeld, Germany
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Published Online: 2012-07-17 | DOI: https://doi.org/10.2478/s11534-012-0056-5

Abstract

We demonstrate a new method to calculate inelastic scattering cross-sections, which in contrary to the Regge-based methods takes into account the energy momentum conservation law. It is shown that the main contribution to integral expressing inelastic scattering cross-sections does not come from the multi-Regge domain. In particular, accounting for the longitudinal momenta contribution to virtualities is sufficient and results in the new mechanism of cross-section growth. The reasons for taking into account the sufficiently high number of interference contributions are shown and the approximate method for this purpose is developed. By fitting single free parameter of the model achieved a qualitative agreement of the total and inelastic cross sections with experimental data.

Keywords: inelastic scattering cross-section; total scattering cross-section; longitudinal momenta; multi-peripheral model; Laplace’s method; virtuality; Regge theory

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About the article

Published Online: 2012-07-17

Published in Print: 2012-08-01


Citation Information: Open Physics, Volume 10, Issue 4, Pages 858–887, ISSN (Online) 2391-5471, DOI: https://doi.org/10.2478/s11534-012-0056-5.

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© 2012 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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