7 research outputs found
An Updated Analysis On The Rise Of The Hadronic Total Cross-section At The Lhc Energy Region
No full textA forward amplitude analysis on pp and elastic scattering above 5 GeV is presented. The dataset includes the recent high-precision TOTEM measurements of the pp total and elastic (integrated) cross-sections at 7 TeV and 8 TeV. Following previous works, the leading high-energy contribution for the total cross-section (σtot) is parametrized as lnγ(s/sh), where γ and s h are free real fit parameters. Singly-subtracted derivative dispersion relations are used to connect σtot and the rho parameter (ρ) in an analytical way. Different fit procedures are considered, including individual fits to σtot data, global fits to σtot and ρ data, constrained and unconstrained data reductions. The results favor a rise of the σtot faster than the log-squared bound by Froissart and Martin at the LHC energy region. The parametrization for σtot is extended to fit the elastic cross-section (σel) data with satisfactory results. The analysis indicates an asymptotic ratio σel/σ tot consistent with 1/3 (as already obtained in a previous work). A critical discussion on the correlation, practical role and physical implications of the parameters γ and sh is presented. The discussion confronts the 2002 prediction of σtot by the COMPETE Collaboration and the recent result by the Particle Data Group (2012 edition of the Review of Particle Physics). Some conjectures on possible implications of a fast rise of the proton-proton total cross-section at the highest energies are also presented. © 2013 World Scientific Publishing Company.2820Froissart, M., (1961) Phys. Rev., 123, p. 1053Martin, A., (1966) Nuovo Cimento A, 42, p. 930Martin, A., (1966) Nuovo Cimento A, 44, p. 1219Lukaszuk, L., Martin, A., (1967) Nuovo Cimento A, 52, p. 122Azimov, Ya.I., (2011) Phys. Rev. D, 84, p. 056012Azimov, Ya.I., Froissart Bounds for Amplitudes and Cross-sections at High Energies, , arXiv:1204.0984 [hep-ph]Azimov, Ya., What Is the Real Meaning of the Froissart Theorem?, , arXiv:1208.4304 [hep-ph]Cudell, J.R., (2002) Phys. Rev. D, 65, p. 074024. , COMPETE CollabCudell, J.R., (2002) Phys. Rev. Lett., 89, p. 201801. , COMPETE CollabIgi, K., Ishida, M., (2002) Phys. Rev. D, 66, p. 034023Igi, K., Ishida, M., (2005) Phys. Lett. B, 622, p. 286Block, M.M., Halzen, F., (2004) Phys. Rev. D, 70, p. 091901Block, M.M., Halzen, F., (2005) Phys. Rev. D, 72, p. 036006Nakamura, K., (2010) J. Phys. G: Nucl. Part. Phys., 37, p. 075021. , Particle Data GroupAntchev, G., (2011) Europhys. Lett., 95, p. 41001. , TOTEM CollabAntchev, G., (2011) Europhys. Lett., 96, p. 21002. , TOTEM CollabAntchev, G., (2012) Europhys. Lett., 98, p. 31002. , TOTEM CollabBeringer, J., (2012) Phys. Rev. D, 86, p. 010001. , http://pdg.lbl.gov, Particle Data GroupFagundes, D.A., Menon, M.J., Silva, P.V.R.G., (2012) Braz. J. Phys., 42, p. 452. , arXiv:1112.4704 [hep-ph]Fagundes, D.A., Menon, M.J., Silva, P.V.R.G., (2013) J. Phys. G: Nucl. Part. Phys., 40, p. 065005. , arXiv:1208.3456 [hep-ph]Amaldi, U., (1977) Phys. Lett. B, 66, p. 390Antchev, G., (2013) Europhys. Lett., 101, p. 21002. , TOTEM CollabAntchev, G., (2013) Europhys. Lett., 101, p. 21004. , TOTEM CollabAntchev, G., (2013) Phys. Rev. Lett., 111, p. 012001. , TOTEM CollabAugier, C., (1993) Phys. Lett. B, 315, p. 503. , UA4/2 CollabKang, K., Nicolescu, B., (1975) Phys. Rev. D, 11, p. 2461Avila, R.F., Menon, M.J., (2004) Nucl. Phys. A, 744, p. 249Bevington, P.R., Robinson, D.K., (1992) Data Reduction and Error Analysis for the Physical Sciences, , 2nd edn. McGraw-Hill, Boston, MassachusettsFagundes, D.A., Menon, M.J., Silva, P.V.R.G., Reply to "Commentary on Total Hadronic Cross-section Data and the Froissart-Martin Bound by Fagundes, Menon and Silva, , arXiv:1211.3352 [hep-ph]Avila, R.F., Luna, E.G.S., Menon, M.J., (2001) Braz. J. Phys., 31, p. 567Avila, R.F., Luna, E.G.S., Menon, M.J., (2003) Phys. Rev. D, 67, p. 054020ROOT Framework, , http://root.cern.ch/drupal/, http://root.cern.ch/root/html/TMinuit.htmlJames, F., (1998) MINUIT Function Minimization and Error Analysis, Reference Manual, Version 94.1, , CERN Program Library Long Writeup D506 (CERN, Geneva, Switzerland)Common, A.K., (1970) Nuovo Cimento, 69, p. 115Abreu, P., (2012) Phys. Rev. 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Proc., 1105, p. 236. , arXiv:0811.0260 [hep-ph]Donnachie, A., Landshoff, P.V., Elastic Scattering at the LHC, , arXiv:1112.2485 [hep-ph]Kopeliovich, B.Z., Potashnikova, I.K., Povh, B., Predazzi, E., (2000) Phys. Rev. Lett., 85, p. 507Kopeliovich, B.Z., Potashnikova, I.K., Povh, B., (2012) Phys. Rev. D, 86, pp. 051502RPetrov, V.A., Prokudin, A.V., (2002) Eur. Phys. J. C, 23, p. 135Petrov, V.A., Predazzi, E., Prokudin, A., (2003) Eur. Phys. J. C, 28, p. 525Petrov, V.A., Prokudin, A., Three Pomerons Vs DO and TOTEM Data, , arXiv:1212.1924 [hep-ph]Shaham, N., Piran, T., (2013) Phys. Rev. Lett., 110, p. 021101. , arXiv:1204.1488 [astroph. HE]Conceição, R., Deus De J.Dias, Pimenta, M., (2012) Nucl. Phys. A, 888, p. 58. , arXiv:1107.0912 [hep-ph]Menon, M.J., Silva, P.V.R.G., A Study on Analytic Parametrizations for the Proton-proton Cross-sections and Asymptotia, , arXiv:1305.2947 [hep-ph
On The Rise Of Proton-proton Cross-sections At High Energies
No full textThe rise of total, elastic and inelastic hadronic cross sections at high energies is investigated by means of an analytical parametrization, with the exponent of the leading logarithm contribution as a free fit parameter. Using derivative dispersion relations with one subtraction, two different fits to proton-proton and antiproton-proton total cross section and ρ parameter data are developed, reproducing well the experimental information in the energy region 5 GeV-7 TeV. The parametrization for the total cross sections is then extended to fit the elastic (integrated) cross section data in the same energy region, with satisfactory results. From these empirical results we extract the energy dependence of several physical quantities: inelastic cross section, ratios elastic/total, inelastic/total cross sections, ratio total-cross-section/ elastic-slope, elastic slope and optical point. All data, fitted and predicted, are quite well described. We find a statistically consistent solution indicating: (1) an increase of the hadronic cross sections with the energy faster than the log-squared bound by Froissart and Martin; (2) asymptotic limits 1/3 and 2/3 for the ratios elastic/total and inelastic/total cross sections, respectively; a result in agreement with unitarity. These indications corroborate recent theoretical arguments by Azimov on the rise of the total cross section. © 2013 IOP Publishing Ltd.406Barone, V., Predazzi, E., (2002) High-Energy Particle Diffraction, , 10.1007/978-3-662-04724-8Donnachie, S., Dosch, G., Landshoff, P.V., Natchmann, O., (2002) Pomeron Physics and QCD, , 10.1017/CBO9780511534935Dremin, I.M., (2012) Elastic Scattering of HadronsKašpar, J., Kundrát, V., Lokajíček, M., Procházka, J., (2011) Nucl. Phys., 843 (1), p. 84. , 10.1016/j.nuclphysb.2010.09.020 0550-3213 BFiore, R., Jenkovszky, L., Orava, R., Predazzi, E., Prokudin, A., Selyugin, O., (2009) Int. J. Mod. 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Erratum: A Study On Analytic Parametrizations For Proton-proton Cross-sections And Asymptotia (journal Of Physics G: Nuclear And Particle Physics (2014) 41:1 (019501) Doi: 10.1088/0954-3899/41/1/019501))
No full text[No abstract available]41
Total Hadronic Cross Section And The Elastic Slope: An Almost Model-independent Connection
No full textAn almost model-independent parametrization for the ratio of the total cross section to the elastic slope, as function of the center of mass energy, is introduced. The analytical result is based on the approximate relation of this quantity with the ratio R of the elastic to total cross section and empirical fits to the R data from proton-proton scattering above 10 GeV, under the conditions of asymptotic unitarity and the black-disk limit. This parametrization may be useful in studies of extensive air showers and the determination of the proton-proton total cross section from proton-air production cross section in cosmic-ray experiments. © 2012 Elsevier B.V.880111Ulrich, R., Engel, R., Müller, S., Schüssler, F., Unger, M., (2009) Nucl. Phys. B (Proc. Suppl.), 196, p. 335Sokolsky, P., Introduction to Ultrahigh Energy Cosmic Ray Physics (1989) Frontiers in Physics, 76. , Addison-Wesley, New YorkEngel, R., Gaisser, T.K., Lipari, P., Stanev, T., (1998) Phys. Rev. D, 58, p. 014019Engel, R., (2000) Nucl. Phys. B (Proc. Suppl.), 82, p. 221Ávila, R.F., Luna, E.G.S., Menon, M.J., (2003) Phys. Rev. D, 67, p. 054020Glauber, R., (1955) Phys. Rev., 100, p. 629Glauber, R., Matthiae, G., (1970) Nucl. Phys. B, 21, p. 135Matthiae, G., (1994) Rep. Prog. Phys., 57, p. 743Cudell, J.R., (2002) Phys. Rev. Lett., 89 (20), p. 201801. , COMPETE CollaborationCudell, J.R., (2002) Phys. Rev. D, 65, p. 074024. , COMPETE CollaborationNakamura, K., (2010) J. Phys. G, 37, p. 075021. , Particle Data GroupAntchev, G., (2011) Europhys. Lett., 96, p. 21002. , TOTEM CollaborationMartini, A.F., Menon, M.J., Montanha, J., (2004) Braz. J. Phys., 34, p. 263Eden, R.J., (1971) Rev. Mod. Phys., 43, p. 15Froissart, M., (1961) Phys. Rev., 123, p. 1053Martin, A., (1966) Nuovo Cimento A, 42, p. 930Lukaszuk, L., Martin, A., (1967) Nuovo Cimento A, 52, p. 122MacDowell, S.W., Martin, A., (1964) Phys. Rev. B, 135, p. 960Block, M.M., (2006) Phys. Rep., 436, p. 71Block, M.M., Halzen, F., (2011) Phys. Rev. Lett., 107, p. 212002Chou, T.T., Yang, C.N., (1968) Phys. Rev. D, 170, p. 1591Bourrely, C., Soffer, J., Wu, T.T., (1984) Nucl. Phys. B, 247, p. 15Bourrely, C., Soffer, J., Wu, T.T., (1987) Z. Phys. C, 37, p. 369Troshin, S.M., Tyurin, N.E., (2007) Int. J. Mod. Phys. A, 22, p. 4437Troshin, S.M., Tyurin, N.E., (1993) Phys. Lett. B, 316, p. 175http://root.cern.ch/drupal/, URL:http://root.cern.ch/root/html/TMinuit.htmlBevington, P.R., Robinson, D.K., (1992) Data Reduction and Error Analysis for the Physical Sciences, , McGraw-Hill, Boston, Massachusettshttp://durpdg.dur.ac.uk/HEPDATA/REAC, Durham Reaction DatabaseAzimov, Y.I., (2011) Phys. Rev. D, 84, p. 056012Fagundes, D.A., Menon, M.J., Silva, P.V.R.G., Total hadronic cross section data and the Froissart-Martin bound, , arxiv:1112.4704Conceição, R., Dias de Deus, J., Pimenta, M., Proton-proton cross-sections: The interplay between density and radius, , arxiv:1107.091
Elastic Pp Scattering From The Optical Point To Past The Dip: An Empirical Parametrization From Isr To The Lhc
No full textWe describe the main features of recent LHC data on elastic pp scattering through a simple parametrization to the amplitude, inspired by a model proposed by Barger and Phillips in 1973, comprised of two exponentials with a relative phase. Despite its simplicity, this parametrization reproduces two essential aspects of the elastic differential cross section: the well-known precipitous descent in the forward direction and a sharp "dip" structure. To include a complete description of data sets near -t=0, we correct the original parametrization. We examine two possibilities: the presence of the two-pion threshold singularity or a multiplicative factor reflecting the proton form factor. We find good descriptions of LHC7 and ISR data in either case. The form-factor model allows simple predictions for higher energies through asymptotic theorems and asymptotic sum rules in impact parameter space. 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