scholarly journals PROTON PROFILE FUNCTION AT 52.8 GeV

2007 ◽  
Vol 16 (09) ◽  
pp. 2923-2926 ◽  
Author(s):  
GEOVANNA LUIZ PEREIRA DA SILVA ◽  
MÁRCIO JOSÉ MENON ◽  
REGINA FONSECA ÁVILA
Keyword(s):  
Error Propagation ◽  
Scattering Amplitude ◽  
Profile Function ◽  
Proton Proton ◽  
Section Data ◽  
Elastic Proton ◽  
Model Independent ◽  
Impact Parameter Space ◽  
The Impact ◽  
Novel Model

We present the results of a novel model-independent fit to elastic proton-proton differential cross section data at [Formula: see text]. Taking into account the error propagation from the fit parameters, we determine the scattering amplitude in the impact parameter space (the proton profile function) and its statistical uncertainty region. We show that both the real and imaginary parts of the profile are consistent with two dynamical contributions, one from a central dense region, up to roughly 1 fm and another from a peripheral evanescent region from 1 to 3 fm.

scholarly journals Is There a Hollow Inside the Proton?

2018 ◽  
Vol 47 ◽  
pp. 1860097 ◽  
Author(s):  
V. A. Petrov ◽  
A. P. Samokhin
Keyword(s):  
Elastic Scattering ◽  
Scattering Amplitude ◽  
Scattering Data ◽  
Unitarity Condition ◽  
Proton Proton ◽  
Proton Elastic Scattering ◽  
Relative Transparency ◽  
Elastic Scattering Amplitude ◽  
Impact Parameter Space ◽  
The Impact

We discuss a recently proposed interpretation of some model descriptions of the proton-proton elastic scattering data as a manifestation of alleged relative transparency of the central part of the interaction region in the impact parameter space. We argue that the presence of nonzero real part of the elastic scattering amplitude in the unitarity condition enables to conserve the traditional interpretation.

scholarly journals ELASTIC SCATTERING OF PROTONS FROM $\sqrt{s} = 23.5~{\rm GeV}$ to 7 TeV FROM A GENERALIZED BIALAS–BZDAK MODEL

2014 ◽  
Vol 29 (02) ◽  
pp. 1450019 ◽  
Author(s):  
T. CSÖRGŐ ◽  
F. NEMES
Keyword(s):  
Elastic Scattering ◽  
Total Cross Section ◽  
Cross Section ◽  
Scattering Amplitude ◽  
Elastic Cross Section ◽  
Forward Scattering Amplitude ◽  
Proton Proton ◽  
Elastic Proton ◽  
Model Independent ◽  
Total P

The Bialas–Bzdak model of elastic proton–proton scattering is generalized to the case when the real part of the parton–parton level forward scattering amplitude is nonvanishing. Such a generalization enables the model to describe well the dip region of the differential cross-section of elastic scattering at the intersecting storage rings (ISR) energies, and improves significantly the ability of the model to describe also the recent TOTEM data at [Formula: see text] LHC energy. Within this framework, both the increase of the total cross-section, as well as the decrease of the location of the dip with increasing colliding energies, is related to the increase of the quark–diquark distance and to the increase of the "fragility" of the protons with increasing energies. In addition, we present and test the validity of two new phenomenological relations: one of them relates the total p+p cross-section to an effective, model-independent proton radius, while the other relates the position of the dip in the differential elastic cross-section to the measured value of the total cross-section.

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

2010 ◽  
Vol 25 (09) ◽  
pp. 1937-1950 ◽  
Author(s):  
S. D. CAMPOS
Keyword(s):  
Elastic Scattering ◽  
Impact Parameter ◽  
Parameter Space ◽  
Error Propagation ◽  
Scattering Data ◽  
Hadron Interaction ◽  
Space Error ◽  
Model Independent ◽  
Impact Parameter Space ◽  
The Impact

We use an almost model-independent analytical parametrization for pp and [Formula: see text] 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 [Formula: see text] shows the saturation of the Froissart–Martin bound at LHC energies.

scholarly journals APPLICABILITY OF A REPRESENTATION FOR THE MARTIN'S REAL-PART FORMULA IN MODEL-INDEPENDENT ANALYSES

2011 ◽  
Vol 26 (19) ◽  
pp. 3219-3247 ◽  
Author(s):  
D. A. FAGUNDES ◽  
M. J. MENON
Keyword(s):  
High Energy ◽  
Cross Section Data ◽  
Proton Proton ◽  
Section Data ◽  
Part Formula ◽  
High Energies ◽  
Peripheral Effect ◽  
Model Independent ◽  
Opacity Function ◽  
The Impact

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.

scholarly journals High Energy Rho Meson Leptoproduction §

2014 ◽  
Vol 1 (1) ◽  
pp. 33-35
Author(s):  
Adrien Besse ◽  
Lech Szymanowski ◽  
Samuel Wallon
Keyword(s):  
Cross Sections ◽  
Scattering Amplitude ◽  
Good Description ◽  
High Energy ◽  
Energy Limit ◽  
Rho Meson ◽  
Forward Limit ◽  
Helicity Amplitudes ◽  
Impact Parameter Space ◽  
The Impact

We investigate the longitudinal and transverse polarized cross-sections of the leptoproduction of the ρ meson in the high energy limit. Our model is based on the computation of the impact factor γ*(λγ)→ ρ (λρ) using the twist expansion in the forward limit which is expressed in the impact parameter space. This treatment involves in the final stage the twist 2 and twist 3 distribution amplitudes (DAs) of the ρ meson and the dipole scattering amplitude. Taking models that exist for the DAs and for the dipole cross-section. We get a phenomenological model for the helicity amplitudes. We compare our predictions with HERA data and get a fairly good description for large enough virtualities of the photon. PACS number(s): 13.60.Le, 12.39.St, 12.38.Bx.

scholarly journals Some Recent Results on High-Energy Proton Interactions

Particles ◽  
2019 ◽  
Vol 2 (1) ◽  
pp. 57-69 ◽  
Author(s):  
I. M. Dremin
Keyword(s):  
Cross Sections ◽  
Scattering Amplitude ◽  
High Energy ◽  
Unitarity Condition ◽  
Total Cross Sections ◽  
Energy Proton ◽  
Elastic Scattering Amplitude ◽  
Energy Behavior ◽  
Impact Parameter Space ◽  
The Impact

Recent experimental results about the energy behavior of the total cross sections, the share of elastic and inelastic contributions to them, the peculiar shape of the differential cross section and our guesses about the behavior of real and imaginary parts of the elastic scattering amplitude are discussed. The unitarity condition relates elastic and inelastic processes. Therefore it is used in the impact-parameter space to get some information about the shape of the interaction region of colliding protons by exploiting new experimental data. The obtained results are described.

scholarly journals Observation of Odderon effects at LHC energies: a real extended Bialas–Bzdak model study

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
T. Csörgő ◽  
I. Szanyi
Keyword(s):  
Differential Cross Section ◽  
Cross Section ◽  
Cross Sections ◽  
Differential Cross ◽  
Scattering Amplitude ◽  
Proton Collision ◽  
Differential Cross Sections ◽  
Proton Antiproton ◽  
Proton Proton ◽  
Elastic Proton

AbstractThe unitarily extended Bialas–Bzdak model of elastic proton–proton scattering is applied, without modifications, to describe the differential cross-section of elastic proton–antiproton collisions in the TeV energy range, and to extrapolate these differential cross-sections to LHC energies. In this model-dependent study we find that the differential cross-sections of elastic proton–proton collision data at 2.76 and 7 TeV energies differ significantly from the differential cross-section of elastic proton–antiproton collisions extrapolated to these energies. The elastic proton–proton differential cross-sections, extrapolated to 1.96 TeV energy with the help of this extended Bialas–Bzdak model do not differ significantly from that of elastic proton–antiproton collisions, within the theoretical errors of the extrapolation. Taken together these results provide a model-dependent, but statistically significant evidence for a crossing-odd component of the elastic scattering amplitude at the at least 7.08 sigma level. From the reconstructed Odderon and Pomeron amplitudes, we determine the $$\sqrt{s}$$ s dependence of the corresponding total and differential cross-sections.

Real part of scattering amplitude at ultrahigh energies

2015 ◽  
Vol 30 (30) ◽  
pp. 1550188 ◽  
Author(s):  
V. V. Anisovich ◽  
V. A. Nikonov ◽  
J. Nyiri
Keyword(s):  
Impact Parameter ◽  
Parameter Space ◽  
Scattering Amplitude ◽  
Black Disk ◽  
Asymptotic Regime ◽  
The Real ◽  
Impact Parameter Space ◽  
The Impact

On the basis of requirements of unitarity and analyticity we analyze the real and imaginary parts of the scattering amplitude at recent ultrahigh energies, [Formula: see text]. The predictions for the region [Formula: see text] and [Formula: see text] are given supposing the black disk asymptotic regime. It turns out that the real part of the amplitude is concentrated in the impact parameter space at the border of the black disk.

Sign in / Sign up

Export Citation Format

Share Document