Abstract
We discuss the differential elastic pp cross-section data measured at 13 TeV, through the Coulomb Nuclear Interference region until past the dip. We show that data are consistent with the asymptotic predictions from an empirical model and examine the presence of a zero for the real part of the elastic amplitude near the Coulomb region, well before the dip.
Highlights
The TOTEM group has produced a remarkably precise determination of the proton-proton elastic nuclear amplitude at LHC energies [1,2,3,4]
The unexpectedly low value of ρ ∼ (0.9 ÷ 0.1) measured by TOTEM at 13 TeV, have pointed to a possible “anomaly”: If the Froissart limit is saturated, that is if σtot (s) ∼ L2(s) for large L >> 1, where L = ln(s/so), Khuri-Kinoshita theorem[6] forces ρ(s) ∼ π/L(s)
We assume s0 = 1 GeV 2, in the analysis presented here, following the old convention of early asymptotic particle physics and the scale here is not a free parameter
Summary
The TOTEM group has produced a remarkably precise determination of the proton-proton elastic nuclear amplitude at LHC energies [1,2,3,4]. Through the Coulomb nuclear interference (CNI) at very small momentum transfer, TOTEM has reported direct measurements of the ρ parameter We have data for the modulus (through the elastic differential cross-section) and the phase (through CNI) of the near forward nuclear amplitude. The unexpectedly low value of ρ ∼ (0.9 ÷ 0.1) measured by TOTEM at 13 TeV, have pointed to a possible “anomaly”: If the Froissart limit is saturated, that is if σtot (s) ∼ L2(s) for large L >> 1, where L = ln(s/so), Khuri-Kinoshita theorem[6] forces ρ(s) ∼ π/L(s). The old debate has been considerably fuelled by the recent TOTEM data
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