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

• Authors: Igor Sharf , Andrii Tykhonov , Grygorii Sokhrannyi , Maksym Deliyergiyev , Natalia Podolyan , Vitaliy Rusov
• Languages of publication: EN

Abstracts

EN

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

EN

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

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 4
• Pages: 858-887

Dates

published

1 - 8 - 2012

online

17 - 7 - 2012

Contributors

author

Igor Sharf

• Department of Theoretical and Experimental Nuclear Physics, Odessa National Polytechnic University, Shevchenko av. 1, 65044, Odessa, Ukraine

author

Andrii Tykhonov

author

Grygorii Sokhrannyi

• Department of Theoretical and Experimental Nuclear Physics, Odessa National Polytechnic University, Shevchenko av. 1, 65044, Odessa, Ukraine

author

Maksym Deliyergiyev

author

Natalia Podolyan

• Department of Theoretical and Experimental Nuclear Physics, Odessa National Polytechnic University, Shevchenko av. 1, 65044, Odessa, Ukraine

author

Vitaliy Rusov

References

• [1] V.A. Abramovskiy, V.N. Gribov, O.V. Kancheli, Yad. Fiz. 18, 595 (1973)
• [2] D. Amati, A. Stanghellini, S. Fubini, Il Nuovo Cimento (1955-1965) 26, 896 (1962) http://dx.doi.org/10.1007/BF02781901[Crossref]
• [3] M. Baker, K.A. Ter-Martirosyan, Phys.Reports 28, 1 (1976) http://dx.doi.org/10.1016/0370-1573(76)90002-8[Crossref]
• [4] E Byckling, K. Kajantie, Particle kinematics (Wiley, London, 1973)
• [5] P.D.B. Collins, An introduction to Regge theory and high energy physics, Cambridge monographs on mathematical physics. (Cambridge Univ. Press, Cambridge, 1977) http://dx.doi.org/10.1017/CBO9780511897603[Crossref]
• [6] N.G. De Bruijn, Asymptotic methods in analysis; 1st ed. (Bibl. Matematica. North-Holland, Amsterdam, 1958)
• [7] H.J. Drescher, M. Hladik, S. Ostapchenko, T. Pierog, K Werner, arXiv:0006247 [hep-ph]
• [8] E.A Kuraev, L.N Lipatov, V.S Fadin, Sov. Phys. JETP. 44, 443 (1976)
• [9] E.M. Levin, M.G. Ryskin, Yad. Fiz. 19, 669 (1974)
• [10] E.M. Levin, M.G. Ryskin, Phys. Uspekhi. 32, 479 (1989) http://dx.doi.org/10.1070/PU1989v032n06ABEH002724[Crossref]
• [11] Y.P. Nikitin, I.L. Rozental, Theory of multiparticle production processes (Stud. High Energ. Phys., Harwood, Chur, 1988)
• [12] I.V. Sharph et al., arXiv:0711.3690 [hep-ph]
• [13] I.V. Sharph et al., arXiv:0605110 [hep-ph]
• [14] I.V. Sharph et al., arXiv:0912.2598 [hep-ph]
• [15] K.A. Ter-Martirosyan, Results of Regge scheme development and experiment (MIPHI, Moscow, 1975)
• [16] M.G. Kozlov, A.V. Reznichenko, V.S. Fadin, Vestnik NSU 2, 3 (2007)
• [17] L.N. Lipatov, Uspekhi. Phys. Nauk. 178, 663 (2008) http://dx.doi.org/10.3367/UFNr.0178.200806m.0663[Crossref]
• [18] L.N. Lipatov, Uspekhi. Phys. Nauk. 174, 337 (2004) http://dx.doi.org/10.3367/UFNr.0174.200404a.0337[Crossref]
• [19] J. Bartels, L.N. Lipatov, A.S. Vera, arXiv:0802.2065 [hep-ph]
• [20] A. Donnachie, P.V. Landshoff, Phys. Lett. B 296, 1 (1992) http://dx.doi.org/10.1016/0370-2693(92)90794-5[Crossref]
• [21] K. Nakamura and Particle Data Group, J. Phys. G Nucl. Partic. 37, 075021 (2010) http://dx.doi.org/10.1088/0954-3899/37/7A/075021[Crossref]
• [22] ATLAS Collaboration, arXiv:1104.0326 [hep-ph]
• [23] A.B. Kaidalov, Uspekhi. Phys. Nauk. 173, 1153 (2003) http://dx.doi.org/10.3367/UFNr.0173.200311a.1153[Crossref]
• [24] I.V. Sharph et al., Ukr. J. Phys. 56, 1151 (2011)

Identifiers

DOI

10.2478/s11534-012-0056-5