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Excitation function of elastic pp scattering from a unitarily extended Bialas–Bzdak model

F. Nemes

CERN, CH-1211 Geneva 23, Switzerland

Wigner Research Centre for Physics, Hungarian Academy of Sciences, H-1525 Budapest 114, P.O. Box 49, Hungary

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T. Csörgő

Wigner Research Centre for Physics, Hungarian Academy of Sciences, H-1525 Budapest 114, P.O. Box 49, Hungary

Károly Róbert College, H-3200 Gyöngyös, Mátrai út 36, Hungary

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, and

M. Csanád

Eötvös University, Department of Atomic Physics, H-1117 Budapest, Pázmány Péter s., 1/A, Hungary

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https://doi.org/10.1142/S0217751X15500761Cited by:22 (Source: Crossref)

Abstract

The Bialas–Bzdak model of elastic proton–proton scattering assumes a purely imaginary forward scattering amplitude, which consequently vanishes at the diffractive minima. We extended the model to arbitrarily large real parts in a way that constraints from unitarity are satisfied. The resulting model is able to describe elastic pp scattering not only at the lower ISR energies but also at in a statistically acceptable manner, both in the diffractive cone and in the region of the first diffractive minimum. The total cross-section as well as the differential cross-section of elastic proton–proton scattering is predicted for the future LHC energies of , 14, 15 TeV and also to 28 TeV. A nontrivial, significantly nonexponential feature of the differential cross-section of elastic proton–proton scattering is analyzed and the excitation function of the nonexponential behavior is predicted. The excitation function of the shadow profiles is discussed and related to saturation at small impact parameters.

Keywords:

PACS: 13.75.Cs, 13.85.-t, 13.85.Lg, 13.85.Dz

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References

1. A. Bialas and A. Bzdak, Acta Phys. Pol. B 38, 159 (2007). Web of Science, ADS, Google Scholar
2. F. Nemes and T. Csörgő, Int. J. Mod. Phys. A 27, 1250175 (2012). Link, Web of Science, ADS, Google Scholar
3. T. Csörgő and F. Nemes, Int. J. Mod. Phys. A 29, 1450019 (2014). Link, Web of Science, ADS, Google Scholar
4. E. Ferreira, T. Kodama and A. K. Kohara, Proc. 8th Int. Workshop on Diffraction in High Energy Physics (Diffraction 2014), Primosten, Croatia, 10–16 Sept. 2014, arXiv:1411.3518 [hep-ph]. Google Scholar
5. A. K. Kohara, E. Ferreira and T. Kodama, Eur. Phys. J. C 74, 3175 (2014). Crossref, Web of Science, ADS, Google Scholar
6. S. Giani, Overview of TOTEM results on total cross-section, elastic scattering and diffraction at LHC, invited talk at the WPCF 2014 Conference, Gyöngyös, Hungary, 25–29 August 2014, https://indico.cern.ch/event/300974/session/2/contribution/34. Google Scholar
7. TOTEM Collab. (G. Antchev et al.), Evidence for non-exponential elastic proton-proton differential cross-section at low $| t |$ and $\sqrt{s} = 8$ TeV by TOTEM, arXiv:1503.08111 [hep-ex]. Google Scholar
8. L. Jenkovszky and A. Lengyel, arXiv:1410.4106 [hep-ph]. Google Scholar
9. V. A. Khoze, A. D. Martin and M. G. Ryskin, arXiv:1410.0508 [hep-ph]. Google Scholar
10. TOTEM Collab. (G. Antchev et al.), Europhys. Lett. 96, 21002 (2011). Crossref, ADS, Google Scholar
11. TOTEM Collab. (G. Antchev et al.), Europhys. Lett. 95, 41001 (2011). Crossref, ADS, Google Scholar
12. TOTEM Collab. (G. Antchev et al.), Europhys. Lett. 101, 21002 (2013). Crossref, ADS, Google Scholar
13. TOTEM Collab. (G. Antchev et al.), Europhys. Lett. 101, 21004 (2013). Crossref, ADS, Google Scholar
14. J. Orear, Phys. Rev. Lett. 12, 112 (1964). Crossref, Web of Science, ADS, Google Scholar
15. D. B. Lichtenberg and L. J. Tassie, Phys. Rev. 155, 1601 (1967). Crossref, Web of Science, ADS, Google Scholar
16. V. A. Tsarev, Lebedev Inst. Rep. 4, 12 (1979). Google Scholar
17. V. M. Grichine, N. I. Starkov and N. P. Zotov, Eur. Phys. J. C 73, 2320 (2013). Crossref, Web of Science, ADS, Google Scholar
18. V. M. Grichine, Eur. Phys. J. Plus 129, 112 (2014). Crossref, Web of Science, Google Scholar
19. R. J. Glauber, Lectures in Theoretical Physics, Vol. 1 (Interscience, New York, 1959). Google Scholar
20. E. Levin, arXiv:hep-ph/9808486. Google Scholar
21. V. A. Khoze, A. D. Martin and M. G. Ryskin, Int. J. Mod. Phys. A 30, 1542004 (2015). Link, Web of Science, ADS, Google Scholar
22. M. G. Ryskin, A. D. Martin and V. A. Khoze, Eur. Phys. J. C 72, 1937 (2012). Crossref, Web of Science, ADS, Google Scholar
23. M. G. Ryskin, A. D. Martin, V. A. Khoze and A. G. Shuvaev, J. Phys. G 36, 093001 (2009). Crossref, Web of Science, Google Scholar
24. A. D. Martin, H. Hoeth, V. A. Khoze, F. Krauss, M. G. Ryskin and K. Zapp, PoS QNP 2012, 017 (2012). Google Scholar
25. P. Lipari and M. Lusignoli, Eur. Phys. J. C 73, 2630 (2013). Crossref, Web of Science, ADS, Google Scholar
26. L. Demortier, CDF note 8661, 1999. Google Scholar
27. E. Nagy et al., Nucl. Phys. B 150, 221 (1979). Crossref, Web of Science, ADS, Google Scholar
28. U. Amaldi and K. R. Schubert, Nucl. Phys. B 166, 301 (1980). Crossref, Web of Science, ADS, Google Scholar
29. R. J. Glauber and J. Velasco, Phys. Lett. B 147, 380 (1984). Crossref, Web of Science, ADS, Google Scholar
30. H. Cheng and T. T. Wu, Phys. Rev. Lett. 22, 666 (1969). Crossref, Web of Science, ADS, Google Scholar
31. H. Cheng and T. T. Wu, Phys. Rev. 182, 1852 (1969). Crossref, Web of Science, ADS, Google Scholar
32. H. Cheng and T. T. Wu, Phys. Rev. 182, 1868 (1969). Crossref, Web of Science, ADS, Google Scholar
33. H. Cheng and T. T. Wu, Expanding Protons: Scattering at High Energies (MIT Press, Cambridge, MA, 1987). Google Scholar
34. C. Bourrely, J. Soffer and T. T. Wu, Phys. Rev. D 19, 3249 (1979). Crossref, Web of Science, ADS, Google Scholar
35. C. Bourrely, J. Soffer and T. T. Wu, Int. J. Mod. Phys. A 30, 1542006 (2015). Link, Web of Science, ADS, Google Scholar
36. TOTEM Collab. (G. Antchev et al.), Phys. Rev. Lett. 111, 012001 (2013). Crossref, Web of Science, Google Scholar
37. M. M. Block, Phys. Rep. 436, 71 (2006). Crossref, Web of Science, ADS, Google Scholar
38. I. Bautista and J. Dias de Deus, Phys. Lett. B 718, 1571 (2013). Crossref, Web of Science, ADS, Google Scholar
39. M. Giordano and E. Meggiolaro, J. High Energy Phys. 1403, 002 (2014). Crossref, Web of Science, ADS, Google Scholar
40. V. V. Anisovich, V. A. Nikonov and J. Nyiri, Phys. Rev. D 90, 074005 (2014). Crossref, Web of Science, ADS, Google Scholar