Extrema bounds for the soft Pomeron intercept

Luna, E. G. S.; Menon, M. J.

doi:10.1016/s0370-2693(03)00755-x

Cited by 29 publications

(44 citation statements)

References 19 publications

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“…• The fixed value ǫ = 0.080 for the soft Pomeron intercept is consistent with all phenomenological analyses of the elastic hadron scattering, in particular with those treating constraint and extrema bounds [44,45].…”

supporting

confidence: 77%

Aspects of a dynamical gluon mass approach to elastic hadron scattering at LHC

Fagundes¹,

Luna²,

Menon³

et al. 2012

Nuclear Physics A

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We discuss how the main features of the recent LHC data on elastic scattering can be described by a QCD-inspired formalism with a dynamical infrared mass scale. For this purpose new developments on a dynamical gluon mass approach are reported, with emphasis on a method to estimate uncertainty bounds in the predictions for the high-energy scattering observables. We investigate the effects due to the correlations among the fixed and free parameters involved and show that the band of predictions are consistent with the recent data from the TOTEM experiment, including the forward quantities and the differential cross section up to the dip position.

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supporting

confidence: 77%

Aspects of a dynamical gluon mass approach to elastic hadron scattering at LHC

Fagundes¹,

Luna²,

Menon³

et al. 2012

Nuclear Physics A

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“…Among the 16 variants of fits performed through the CERN-Minuit routine, the extrema values for the Pomeron intercept were obtained in the case of individual fits to σ tot , the highest value with Ensemble I + NGSY and the lowest one with Ensemble II, α Table 1, together with the extrema bounds for the parameter ǫ. Table 1 Extrema values and bounds for the Pomeron intercept (α IP (0) = 1 + ǫ): parameters obtained through global fits to pp andpp total cross section data [12]. In that analysis, the secondary Reggeon intercepts were left as free parameters in order to allow the necessary freedom for the Pomeron intercept to find its extrema.…”

Section: Extrema Boundsmentioning

confidence: 99%

“…4, together with the experimental data and estimations used in the ensembles (see [9] and [12] for references and discussions on these and others numerical values).…”

Section: Bounds For the Rise Of The Pp Andpp Total Cross Sectionsmentioning

confidence: 99%

An analysis on extrema and constrained bounds for the soft pomeron intercept

2004

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We investigate some aspects and consequences of the extrema bounds for the soft Pomeron intercept, recently determined by means of global fits to pp andpp total cross section data at both accelerator and cosmic-ray energy regions (scattering data). We also examine the effects of the secondary Reggeons by introducing fitted trajectories from Chew-Frautschi plots (spectroscopy data) and determining new constrained bounds for the Pomeron intercept. In both cases we extend the analysis to baryon − p, meson − p, baryon − n, meson − n, gamma − p and gamma − gamma scattering, presenting tests on factorization and quark counting rules. We show that in all the cases investigated, the bounds lead to good descriptions of the bulk of experimental data on the total cross sections, but with different extrapolations to higher energies. Our main conclusion is that the experimental information presently available on the above quantities is not sensitive to an uncertainty of 2% in the value of the soft Pomeron intercept. At 14 TeV (CERN LHC) the extrema and constrained bounds allow to infer σ tot = 114 ± 25 mb and 105 ± 10 mb, respectively.

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“…Making use of this parametrization, in this section we present the determination of extrema bounds for the Pomeron intercept [15] and a practical analysis on the replacement of IDR by DDR together with a discussion on the role of the subtraction constant [16].…”

Section: Non-degenerate Meson Trajectoriesmentioning

confidence: 99%

“…(15)(16), and so the corresponding real parts of the pp andpp amplitudes. With these analytic amplitudes we obtain the differential cross section:…”

Section: Constrained Fits and Energy Dependencementioning

confidence: 99%

Topics on high-energy elastic hadron scattering

Menon¹

2005

Braz. J. Phys.

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We review the main results we have obtained in the area of high-energy elastic hadron scattering and presented in this series of Workshops on Hadron Interactions. After an introduction to some basic experimental and theoretical concepts, we survey the results reached by means of four approaches: analytic models, modelindependent analyses, eikonal models and nonperturbative QCD. Some of the ongoing researches and future perspectives are also outlined.

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Extrema bounds for the soft Pomeron intercept

Cited by 29 publications

References 19 publications

Aspects of a dynamical gluon mass approach to elastic hadron scattering at LHC

Aspects of a dynamical gluon mass approach to elastic hadron scattering at LHC

An analysis on extrema and constrained bounds for the soft pomeron intercept

Topics on high-energy elastic hadron scattering

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