Central exclusive production of $η$ and $η'$ mesons in diffractive proton-proton collisions at the LHC within the tensor-pomeron approach

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Hauptverfasser: Lebiedowicz, Piotr, Nachtmann, Otto, Szczurek, Antoni
Format: Preprint
Veröffentlicht: 2025
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author Lebiedowicz, Piotr
Nachtmann, Otto
Szczurek, Antoni
author_facet Lebiedowicz, Piotr
Nachtmann, Otto
Szczurek, Antoni
contents We present a study of the central exclusive production (CEP) of $η$ and $η'(958)$ mesons in diffractive proton-proton collisions at high energies. The amplitudes, including pomeron and $f_{2 \mathbb{R}}$ reggeon exchanges, are calculated within the tensor-pomeron model. Absorption effects are also taken into account at the amplitude level. We fit some undetermined model parameters (coupling constants and cutoff parameters in form factors) to the WA102 experimental data and then make predictions for the LHC energy $\sqrt{s} = 13$ TeV. Both, total cross sections and several differential distributions are presented. For $pp \to pp η$, we find an upper limit for the total cross section of 2.5 $μ$b for pseudorapidity of the $η$ meson $|η_{M}| < 1$ and 5.6 $μ$b for $2 < η_{M} < 5$. For $pp \to pp η'$, we predict the cross section to be in the range of 0.3-0.7 $μ$b for pseudorapidity of the $η'$ meson $|η_{M}| < 1$ and 0.9-2.1 $μ$b for $2 < η_{M} < 5$. This opens the possibility to study diffractive production of pseudoscalar mesons in experiments at the LHC. We discuss if there are arguments from SU(3)-flavor symmetry which would forbid pomeron-pomeron fusion giving an $η$ meson. In our opinion such arguments do not exist. We also consider CEP of the pseudoscalars $η$ and $η'(958)$ and the pseudovector meson $f_{1}(1285)$ in diffractive proton-proton collisions in a theory with a scalar pomeron. We show that none of these particles can be produced in this way in the scalar-pomeron theory. Thus, experimental observation of any of these particles in the above CEP processes at the LHC would give striking evidence against a scalar character of the pomeron.
format Preprint
id arxiv_https___arxiv_org_abs_2506_04846
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Central exclusive production of $η$ and $η'$ mesons in diffractive proton-proton collisions at the LHC within the tensor-pomeron approach
Lebiedowicz, Piotr
Nachtmann, Otto
Szczurek, Antoni
High Energy Physics - Phenomenology
High Energy Physics - Experiment
We present a study of the central exclusive production (CEP) of $η$ and $η'(958)$ mesons in diffractive proton-proton collisions at high energies. The amplitudes, including pomeron and $f_{2 \mathbb{R}}$ reggeon exchanges, are calculated within the tensor-pomeron model. Absorption effects are also taken into account at the amplitude level. We fit some undetermined model parameters (coupling constants and cutoff parameters in form factors) to the WA102 experimental data and then make predictions for the LHC energy $\sqrt{s} = 13$ TeV. Both, total cross sections and several differential distributions are presented. For $pp \to pp η$, we find an upper limit for the total cross section of 2.5 $μ$b for pseudorapidity of the $η$ meson $|η_{M}| < 1$ and 5.6 $μ$b for $2 < η_{M} < 5$. For $pp \to pp η'$, we predict the cross section to be in the range of 0.3-0.7 $μ$b for pseudorapidity of the $η'$ meson $|η_{M}| < 1$ and 0.9-2.1 $μ$b for $2 < η_{M} < 5$. This opens the possibility to study diffractive production of pseudoscalar mesons in experiments at the LHC. We discuss if there are arguments from SU(3)-flavor symmetry which would forbid pomeron-pomeron fusion giving an $η$ meson. In our opinion such arguments do not exist. We also consider CEP of the pseudoscalars $η$ and $η'(958)$ and the pseudovector meson $f_{1}(1285)$ in diffractive proton-proton collisions in a theory with a scalar pomeron. We show that none of these particles can be produced in this way in the scalar-pomeron theory. Thus, experimental observation of any of these particles in the above CEP processes at the LHC would give striking evidence against a scalar character of the pomeron.
title Central exclusive production of $η$ and $η'$ mesons in diffractive proton-proton collisions at the LHC within the tensor-pomeron approach
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
url https://arxiv.org/abs/2506.04846