Pomeron models at LHC energies

Authors

DOI:

https://doi.org/10.24144/2415-8038.2019.45.125-133

Keywords:

Elastic scattering, High energy, Pomeron, Slope, Curvature

Abstract

Purpose. The existing experimental data on the elastic scattering of protons (antiprotons) by protons, including those obtained at the Collider, are not in doubt for non-exponential behavior of differential cross-section. Our task is to choose the most adequate analytical model that describes this behavior of the differential cross sections for elastic pp- and pp scattering.

Methods. Pomeron alternatives for describing the non-exponential behavior of the diffraction cone in differential pp-and pp elastic cross-section are investigated.

Results. It was shown that the pomeron amplitude with two tewrms with different t-dependences is strongly suggested by the data.

Conclusions. The values of the slope B(s,t) and curvature parameter C(s,t) have been calculated for different Pomeron model within the wide s- and low t- range with the allowance made for the diffraction cone shape. The absolute values of the curvature parameter C(s, 0) is predicted to be decreasing depending on s and change of sign at asymptotically large energies.

References

Antchev, G., Aspell, I. et al. (TOTEM Collaboration) (2015), «Evidence of non-exponential elastic proton-proton differential cross-section at low |t| and √s = 8 TeV by TOTEM», Nucl. Phys. B, V. 899, pp. 527–546.

Antchev, G., Aspell, I. et al. (TOTEM Collaboration) (2017), «First determination of the ρ parameter at √s = 13 TeV – probing the existence of a colorless three-gluon bound state», Eur. Phys. J. C, V. 79, pp. 785 (1–26).

Jenkovszky, L., Lengyel, A. (2015), «Low-|t| structures in elastic scattering at the LHC», Acta Phys.Pol. B, V. 46, pp. 863–877.

Khose, V.A., Martin, A.D. and Ryskin, M.G. (2018), «Elastic proton-proton scattering at 13 TeV», Phys. Rev. D, V. 97, pp. 034019(1–6).

Martynov, E. and Nicolescu, B. (2018), «Did TOTEM experiment discover the Odderon?», Phys. Lett. B, V. 778, pp. 414–418.

Antchev, G., Aspell, I. et al.(TOTEM Collaboration) (2016), «Measurement of Elastic pp Scattering at √s = 8 TeV in the Coulomb-Nuclear Interference Region - Determination of the ρ Parameter and the Total Cross-Section», Eur. Phys. J. C, V. 76, pp. 661 (1–21).

Desgrolard, P., Lengyel, A.I. and Martinov, E.S. (1997), «Nonlinearities and Pomeron nonfactorizability in convention diffraction», Nuovo Cimento, V. 110, pp. 251–266.

Bence, N., Lengyel, A.I., Tarics, Z.Z. (2019), « Comparative analysis of analytical models for high energy pp-scattering», IEP-2019. International Conference of young scientists and post-graduates. Uzhhorod, 21–24 May 2019. Proceedings of the conference. Uzhhorod, 2019, pp. 101–102.

Pumplin, J. (1992), «Analysis of elastic scattering at low momentum transfer», Phys. Lett. B, V. 276, pp. 517–525.

Desgrolard, P., Kontros, J., Lengyel, A.I., Martinov, E.S. (1997), «Local nuclear slope and curvature in high energy pp and pp elastic scattering», Nuovo Cim., V. 110A, pp. 615–630.

Cohen-Tannoudji, G., Iljin, V. V., Jenkovszky, L. L., Tutik, R. S. (1972), «A model for the pomeron trajectory», Lett. Nuovo Cim., V. 5, pp. 957–962.

Block, M., Cahn, B.N. (1985), «High-energy pp and forward elastic scattering and total cross sections», Rev. Mod. Phys. V.57, pp. 563–598.

Dias de Deus, Jorge and Padua, Antonio Braz de(1993), «The search of asymptopia in soft physics at high energy», Phys. Lett. B, V. 317, pp. 428–432.

Petrov, V.A., Okorokov, V.A. (2018), «The Size Seems to Matter or Where Lies the «Asymptopia »?», Int. J. Mod. Phys., V. A33, pp. 1850077.

Schiz, A., Fajardo, L.A. et al. (1981), «High-statistics study of π+p, π−p, and pp elastic scattering at 200 GeV/c», Phys. Rev. D, V. 24, pp. 26.

Amaldi, U., Schubert, K.R. (1980), «Impact parameter interpretation of proton-proton scattering from a critical review of all ISR data», Nucl. Phys. B, V. 166, pp. 301–320.

Bozzo, M., Braccini, P.L. et al. (UA4 Collaboration) (1985), «Elastic scattering at the CERN SPS Collider up to a four-momentum transfer of 1.55 GeV2», Phys. Lett. B, V. 155, pp. 197 – 202.

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2019-12-19

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