Phenomenological analysis connecting proton–proton and antiproton–proton elastic scattering

Ávila, R. F.; Campos, S. D.; Menon, M. J.; Montanha, J.

doi:10.1140/epjc/s2006-02530-x

Cited by 29 publications

(78 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…9 and 10 show predictions for |Γ(s, b)| 2 , 2ReΓ(s, b), and G inel (s, b) at energies not available in the fit procedure described in [3].…”

Section: Predictionsmentioning

confidence: 99%

“…When the ISR was turned on, some results showed that pp cross section was rising with energy, more precisely, had a rise that could be fitted with a log 2 s leading term. In [3] a phenomenological approach to explain high energies pp andpp total cross sections, differential cross sections and ρ parameter is presented. This parameterization is based on bounds and theorems of the Axiomatic Quantum Field Theory and on pp andpp experimental available data above √ s = 20 GeV for the total cross sections, differential cross sections, and ρ parameter.…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, predictions in the momentum transfer space were performed and compared with those in the literature. In [3] a more detailed discussion is presented.…”

Section: Introductionmentioning

confidence: 99%

“…Using the well established parameterization taken from [3] we investigate here the eikonal, profile, and inelastic overlap functions using the impact parameter representation via the Fourier-Bessel transform of the elastic scattering amplitude. Numerical values of the fit parameters used here were obtained in the momentum transfer space from simultaneous fits for the total, differential cross section and ρ parameter and then used to describe eikonal, profile and overlap functions in the impact parameter space.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

PHENOMENOLOGICAL ANALYSIS OF pp AND $\bar{p}p$ ELASTIC SCATTERING DATA IN THE IMPACT PARAMETER SPACE

Campos

2010

Int. J. Mod. Phys. A

View full text Add to dashboard Cite

We use an almost model-independent analytical parameterization for pp andpp elastic scattering data to analyze the eikonal, profile, and inelastic overlap functions in the impact parameter space. Error propagation in the fit parameters allows estimations of uncertainty regions, improving the geometrical description of the hadron-hadron interaction. Several predictions are shown and, in particular, the prediction for pp inelastic overlap function at √ s = 14 TeV shows the saturation of the Froissart-Martin bound at LHC energies.

show abstract

“…9 and 10 show predictions for |Γ(s, b)| 2 , 2ReΓ(s, b), and G inel (s, b) at energies not available in the fit procedure described in [3].…”

Section: Predictionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Furthermore, predictions in the momentum transfer space were performed and compared with those in the literature. In [3] a more detailed discussion is presented.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

PHENOMENOLOGICAL ANALYSIS OF pp AND $\bar{p}p$ ELASTIC SCATTERING DATA IN THE IMPACT PARAMETER SPACE

Campos

2010

Int. J. Mod. Phys. A

View full text Add to dashboard Cite

show abstract

“…As first steps in that direction, we have investigated the elastic scattering based only on some general principles, high-energy theorems and model-independent fits to the differential cross section data [6][7][8][9][10][11][12][13]. Since the impact parameter and the unitarized eikonal representations still constitutes a useful framework for model developments, the aims have been to extract empirical information on the overlap and eikonal functions (impact parameter and momentum transfer spaces).…”

mentioning

confidence: 99%

Applicability of a Representation for the Martin's Real-Part Formula in Model-Independent Analyses

Fagundes

Menon

2011

Int. J. Mod. Phys. A

View full text Add to dashboard Cite

Using a novel representation for the Martin's real-part formula without the full scaling property, an almost model-independent description of the proton-proton differential cross section data at high energies (19.4 GeV -62.5 GeV) is obtained. In the impact parameter and eikonal frameworks, the extracted inelastic overlap function presents a peripheral effect (tail) above 2 fm and the extracted opacity function is characterized by a zero (change of sign) in the momentum transfer space, confirming results from previous model-independent analyses. Analytical parametrization for these empirical results are introduced and discussed. The importance of investigations on the inverse problems in high-energy elastic hadron scattering is stressed and the relevance of the proposed representation is commented. A short critical review on the use of Martin's formula is also presented.

show abstract

A simple model for high-energy nucleon–nucleon elastic diffraction and exclusive diffractive electroproduction of vector mesons on protons

Godizov

2011

Physics Letters B

View full text Add to dashboard Cite

The processes of exclusive diffractive scattering p + p → p + p,p + p →p + p, and γ * + p → V + p at high energies are considered in the framework of a unified Regge-eikonal model with a very simple reggeon structure of the eikonal. It is demonstrated that the pomeron trajectory is universal in all reactions and having intercept about 1.31 which could be extracted explicitly from the data on the proton structure function F 2 (x, Q 2 ). The predictions for the proton-proton cross-sections at LHC energies are given. 6 The resonance masses are determined from equations like α(M 2 − iM Γ) = J (here α(t) is some Regge trajectory and J is the resonance spin) which do not imply that Re α(M 2 ) = J and Im α(M 2 ) = 0. The decay widths Γ are only few times less than the corresponding masses M : for example, for f 2 (1270)-mesonConsequently, Chew-Frautschi plots should be considered only as very rough approximations to the true Regge trajectories in the resonance region.

show abstract

Phenomenological analysis connecting proton–proton and antiproton–proton elastic scattering

Cited by 29 publications

References 37 publications

PHENOMENOLOGICAL ANALYSIS OF pp AND $\bar{p}p$ ELASTIC SCATTERING DATA IN THE IMPACT PARAMETER SPACE

PHENOMENOLOGICAL ANALYSIS OF pp AND $\bar{p}p$ ELASTIC SCATTERING DATA IN THE IMPACT PARAMETER SPACE

Applicability of a Representation for the Martin's Real-Part Formula in Model-Independent Analyses

A simple model for high-energy nucleon–nucleon elastic diffraction and exclusive diffractive electroproduction of vector mesons on protons

Contact Info

Product

Resources

About