Physics Letters B 778 (2018) 414–418
Contents lists available at ScienceDirect
Physics Letters B
www.elsevier.com/locate/physletb
Did TOTEM experiment discover the Odderon?
Evgenij Martynov
a,∗
, Basarab Nicolescu
b
a
Bogolyubov Institute for Theoretical Physics, Metrologichna 14b, Kiev, 03680, Ukraine
b
Faculty of European Studies, Babes-Bolyai University, Emmanuel de Martonne Street 1, 400090 Cluj-Napoca, Romania
a r t i c l e i n f o a b s t r a c t
Article history:
Received
10 November 2017
Received
in revised form 21 January 2018
Accepted
21 January 2018
Available
online xxxx
Editor:
J.-P. Blaizot
Keywords:
Froissaron
Maximal
Odderon
Total
cross sections
The
phase of the forward amplitude
The present study shows that the new TOTEM datum ρ
pp
= 0.098 ±0.01 can be considered as the first
experimental discovery of the Odderon, namely in its maximal form.
© 2018 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license
(http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP
3
.
1. Introduction
Very recently, the TOTEM experiment released the following
values at
√
s = 13 TeV of pp total cross section σ
pp
and ρ
pp
pa-
rameter
[1]
σ
pp
tot
= 110.6 ±3mb, ρ
pp
= 0.098 ±0.01 (1)
As it can be seen from (1), the experimental uncertainty of ρ
pp
is
very small.
The
value of σ
tot
is in good agreement with the standard best
COMPETE prediction [2] but is in violent disagreement with the
COMPETE prediction for ρ
pp
(which is much higher than the ex-
perimental
value). This is the first enigma we have to solve before
driving conclusions about the discovery of the Odderon (which
is absent in the COMPETE approach). On another side, the ex-
perimental
value of ρ
pp
is in perfect agreement with the Avila–
Gauron–Nicolescu
(AGN) model [3], which includes the Odderon
and which predicts a value of 0.105. In fact, the AGN model is the
only existing model which correctly predicts ρ
pp
but it predicts
also higher values of σ
tot
than the TOTEM values, a discrepancy
which might be connected with the ambiguities in prolonging the
amplitudes in the non-forward region. This is the second enigma
we have to solve before driving conclusions about the discovery of
the Odderon.
*
Corresponding author.
E-mail
addresses: martynov@bitp.kiev.ua (E. Martynov),
basarab.nicolescu@gmail.com (B. Nicolescu).
We therefore decided to make a careful analysis of the forward
proton–proton and antiproton–proton data from very low energies
(
√
s > 5 GeV) till the LHC energies.
But before describing our results, it is important to make a very
short review on the Odderon.
The
Odderon is defined as a singularity in the complex j-plane,
located at j = 1 when t = 0 and which contributes to the odd-
under-crossing
amplitude F
−
. It was first introduced in 1973 on
the theoretical basis of asymptotic theorems [4]. The name “Odd-
eron”
itself was introduced two years later [5]. There is a large
variety of possible Odderons, but the most esthetical case is that
of the Maximal Odderon (MO), considered in [4]. MO leads to
the prediction that the difference between particle–particle and
particle–antiparticle total cross-sections is not going to 0 at very
high energies, contrary to the beliefs of that epoch. It can even
lead to a proton–proton total cross-section bigger than antiproton–
proton
total cross-section, a situation considered, when the Odd-
eron
was introduced, as revolutionary, if not heretical. In the same
year 1973, an important experimental discovery was made at ISR:
¯
pp was growing like ln
2
s , the maximal behaviour allowed by
general principles. This maximal behaviour was first introduced
by Heisenberg in 1952, on the basis on geometrical considera-
tions [6].
A rigorous demonstration was given nine years later by
Froissart [7]. The corresponding maximal behaviour of the even-
under-crossing
amplitude F
+
is
F
+
(s, t = 0) ∝ s[i ln
2
s + π ln s] (2)
https://doi.org/10.1016/j.physletb.2018.01.054
0370-2693/
© 2018 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by
SCOAP
3
.
资源评论
