The Phillips–Barger model for the elastic cross section and the Odderon

Gonçalves, V. P.; Silva, P. V. R. G.

doi:10.1140/epjc/s10052-019-6768-6

Cited by 23 publications

(14 citation statements)

References 34 publications

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“…The first Fit 1 of data at 52.8 GeV has been performed with the help of parameterization of F N (s, t) given by Eqs. (20) and (22). The parameter κ = 3 has been taken to fit data at 52.8 GeV to keep analyticity of elastic hadronic amplitude at all kinematically allowed values of t, see Sect.…”

Section: Elastic Hadronic Amplitude As Constrained In Many Contemporary Models and Leading To Central Behavior Of Elastic Collisionsmentioning

confidence: 96%

“…It means that the positive integer value of parameter κ guarantees that the parameterization of elastic hadronic amplitude given by Eqs. (20) and ( 22) is analytic for complex t. In [29] this parameter was fitted.…”

Section: Parameterization Of Hadronic Amplitudementioning

confidence: 99%

“…It has concerned nearly all contemporary models of elastic (hadronic) scattering including the most recently published papers, see, e.g. [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] (in some papers the t-dependence of the phase of F N (s, t) has not been discussed at all). These additional assumptions constraining hadronic amplitude F N (s, t) have never been sufficiently reasoned (up to our knowledge) in the literature.…”

Section: Introductionmentioning

confidence: 99%

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Eikonal model analysis of elastic proton–proton collisions at 52.8 GeV and 8 TeV

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Kundrát

2020

Eur. Phys. J. C

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Under the influence of standardly used description of Coulomb-hadronic interference proposed by West and Yennie the protons have been interpreted as transparent objects; elastic events have been interpreted as more central than inelastic ones. It will be shown that using eikonal model the protons may be interpreted in agreement with usual ontological conception; elastic processes being more peripheral than inelastic ones. The corresponding results (differing fundamentally from the suggested hitherto models) will be presented by analyzing the most ample elastic data set measured at the ISR energy of 52.8 GeV and the LHC energy of 8 TeV. Detailed analysis of measured differential cross section will be performed and possibility of peripheral behavior on the basis of eikonal model will be presented. The impact of recently established electromagnetic form factors on determination of quantities specifying hadron interaction determined from the fits of experimental elastic data in the broadest region of momentum transfers will be analyzed.

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Section: Elastic Hadronic Amplitude As Constrained In Many Contemporary Models and Leading To Central Behavior Of Elastic Collisionsmentioning

confidence: 96%

Section: Parameterization Of Hadronic Amplitudementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Eikonal model analysis of elastic proton–proton collisions at 52.8 GeV and 8 TeV

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Kundrát

2020

Eur. Phys. J. C

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“…(11,14) and Table 1 in solid line, BSW model [49] in dashed line and Selyugin's HEGS model [50][51][52] in dotted line. The solutions are similar, with zeros similar positions, and with dominance of the real part (with positive sign) for large |t| 6.5 Phillips-Barger potential model A paper by Gonçalves and Silva [56] uses the formula for the complex amplitude based on the Phillips-Barger potential model [47,57] A P B (t) = i 1 (1 − t/t 0 ) 4…”

Section: Models On the Space Structure Of The Protonmentioning

confidence: 99%

Analytical representation for amplitudes and differential cross section of pp elastic scattering at 13 TeV

2021

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With analytical representation for the pp scattering amplitudes introduced and tested at lower energies, a description of high precision is given of the $$d\sigma /dt$$ d σ / d t data at $$\sqrt{s}= 13$$ s = 13 TeV for all values of the momentum transfer, with explicit identification of the real and imaginary parts. In both t and b coordinates the amplitudes have terms identified as of non-perturbative and perturbative nature, with distinction of their influences in forward and large |t| ranges and in central and peripheral regions respectively. In the forward range, the role of the Coulomb-nuclear interference phase is investigated. The energy dependence of the parameters of the amplitudes are reviewed and updated, revealing a possible emergence of a peculiar behavior of elastic and inelastic profiles in b-space for central collisions, which seems to be enhanced quickly at higher energies. Some other models are also briefly discussed in comparison, including the above mentioned behavior in b-space.

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“…Fig 15. Sanity test result for pp[7,56,65] and pp[50] parameter ρ 0 data, as calculated from the model when the values of the parameters R q , R d , R qd and α were taken from Eq.…”

mentioning

confidence: 99%

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

Csörgő

Szanyi

2021

Eur. Phys. J. C

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The 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.

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The Phillips–Barger model for the elastic cross section and the Odderon

Cited by 23 publications

References 34 publications

Eikonal model analysis of elastic proton–proton collisions at 52.8 GeV and 8 TeV

Eikonal model analysis of elastic proton–proton collisions at 52.8 GeV and 8 TeV

Analytical representation for amplitudes and differential cross section of pp elastic scattering at 13 TeV

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

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