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• W2963669993 abstract "We make a detailed eikonal fit to current data on the total and elastic scattering cross sections, the ratios $ensuremath{rho}$ of the real to the imaginary parts of the forward elastic scattering amplitudes, and the logarithmic slopes $B$ of the differential cross sections $densuremath{sigma}/dt$ at $t=0$, for proton-proton and antiproton-proton scattering at center-of-mass energies $W$ from 5 GeV to 57 TeV. The fit allows us to investigate the structure of the eikonal amplitudes in detail, including the impact-parameter structure of the energy-independent edge in the scattering amplitude shown to exist by Block et al., [Phys. Rev. D 91, 011501(R) (2015)]. We show that the edge region has an essentially fixed shape with a peak at approximately the ``black disk'' radius ${R}_{mathrm{tot}}=sqrt{{ensuremath{sigma}}_{mathrm{tot}}/2ensuremath{pi}}$ of the scattering amplitude, a constant width ${t}_{text{edge}}ensuremath{approx}1text{ }text{ }mathrm{fm}$, and migrates to larger impact parameters with increasing energy proportionally to ${R}_{mathrm{tot}}$. We comment on possible physical mechanisms which could lead to the edge. We show that the eikonal results for the cross sections and $ensuremath{rho}$ values are described to high accuracy by analytic expressions of the forms used in earlier analyses by Block and Halzen, and extend the result to the elastic-scattering slope parameter $B$. These expressions provide simple extrapolations of the results to much higher energies where the cross sections approach the black disk limit with ${ensuremath{sigma}}_{text{elas}}$, ${ensuremath{sigma}}_{text{inel}}ensuremath{rightarrow}{ensuremath{sigma}}_{mathrm{tot}}/2$ and $Bensuremath{rightarrow}{ensuremath{sigma}}_{mathrm{tot}}/8ensuremath{pi}$. Finally, we calculate the survival probabilities for large rapidity gaps in the scattering." @default.
• W2963669993 created "2019-07-30" @default.
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• W2963669993 date "2015-07-27" @default.
• W2963669993 modified "2023-10-17" @default.
• W2963669993 title "Eikonal fit to<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>p</mml:mi><mml:mi>p</mml:mi></mml:math>and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mover accent=true><mml:mi>p</mml:mi><mml:mo stretchy=false>¯</mml:mo></mml:mover><mml:mi>p</mml:mi></mml:math>scattering and the edge in the scattering amplitude" @default.
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• W2963669993 doi "https://doi.org/10.1103/physrevd.92.014030" @default.
• W2963669993 hasPublicationYear "2015" @default.
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