Abstract
We argue that the so-called maximal Odderon contribution breaks the ‘black disk’ behavior of the asymptotic amplitude, since the cross section of the events with Large Rapidity Gaps grows faster than the total cross section. That is the ‘maximal Odderon’ is not consistent with unitarity.
Highlights
The TOTEM collaboration at the√ LHC has published the results of the first measurements at s = 13 TeV of the pp total cross section σtot = 110.6 ± 3.4 mb [1] and of the ratio of the real-to-imaginary parts of the forward pp-amplitude, ρ = Re/Im = 0.10 ± 0.01 [2]
While the discovery of the long-awaited, but experimentally elusive, Odderon would be very welcome news for the theoretical community, our aim here is to try to check whether the presence of the maximal Odderon, with an amplitude A− ∝ ln2 s, which has a real part with high energy behavior similar to that of the imaginary part of the even-signature amplitude A+√, does not violate unitarity at asymptotically large c.m.s. energy s → ∞
To calculate the total Central Exclusive Production (CEP) cross section, we have to integrate over all available pt, so we obtain a non-zero contribution of this particular p psubprocess
Summary
The TOTEM collaboration at the√ LHC has published the results of the first measurements at s = 13 TeV of the pp total cross section σtot = 110.6 ± 3.4 mb [1] and of the ratio of the real-to-imaginary parts of the forward pp-amplitude, ρ = Re/Im = 0.10 ± 0.01 [2] Since the latter value appears to be sufficiently smaller than that predicted by the conventional COMPETE parametrization (ρ = 0.13–0.14) [3], it may indicate either a slower increase of the total cross section at higher energies or a possible contribution of the odd-signature amplitude.
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