Eikonal and asymptotic fits to high energy data for $\sigma$, $\rho$, and $B$: An update with curvature corrections

Abstract

We update our eikonal fit and comprehensive asymptotic fits to high energy data on proton--proton and antiproton--proton scattering for ${\sigma }_{\mathrm{tot}}$, ${\sigma }_{\mathrm{elas}}$, ${\sigma }_{\mathrm{inel}}$, $\rho$, and $B$. The fits include the new TOTEM values of total proton-proton cross section, $\rho$, and $B$ at $W=\sqrt{s}$ = 13 TeV and the Telescope Array value of the total proton-proton cross section at $W=\sqrt{s}$ = 95 TeV, data from the latest measurements of the inelastic cross sections at $W$= 8 TeV (by TOTEM and ATLAS) and 13 TeV (by CMS, ATLAS, and TOTEM). An important new feature of this work is the correction of the data to include the effects of curvature in $\ln (d\sigma /dt)$ on the values of $B$, $d\sigma /dt$ at $t=0$, and ${\sigma }_{\mathrm{tot}}$ obtained by extrapolation from the larger values of $t$ where the differential cross section is measured, The effects are significant. The stability of the fits is excellent and the new results agree well with the predictions of earlier fits. This work again confirms the evidence for the proton asymptotically becoming a black disk of gluons.

11 pages, 4 figures, updating numbers and figures, and added references. arXiv admin note: text overlap with arXiv:1511.02406

References in corpus (8)

• Measurement of the Inelastic Proton-Proton Cross Section at $\sqrt{s}=13$ TeV with the ATLAS Detector at the LHC
• Evidence for non-exponential elastic proton-proton differential cross-section at low |t| and sqrt(s) = 8 TeV by TOTEM
• Measurement of the total cross section from elastic scattering in $pp$ collisions at $\sqrt{s}=8$ TeV with the ATLAS detector
• Measurement of Elastic pp Scattering at $\sqrt{s}$ = 8 TeV in the Coulomb-Nuclear Interference Region - Determination of the $\rho$-Parameter and the Total Cross-Section
• Hadronic forward scattering: Predictions for the Large Hadron Collider and cosmic rays
• Comprehensive fits to high energy data for $\sigma$, $\rho$, and $B$ and the asymptotic black-disk limit
• The interplay of hadronic amplitudes and Coulomb phase in LHC measurements at 13 $\mathrm{TeV}$
• The slope, curvature, and higher parameters in $pp$ and $\bar{p}p$ scattering, and the extrapolation of measurements of $d\sigma (s,t)/dt$ to $t=0$

Cited by in corpus (2)

• Coulomb-nuclear interference effects in proton-proton scattering: A simple new eikonal approach
• Some applications of the Eikonal model with Coulomb and curvature corrections in $pp$ and $\bar{p}p$ scattering