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PreprintCC BY-SA 4.0arXiv

Addendum: Production of π+ π− pairs in diffractive photon-proton and in proton-proton collisions revisited, in particular concerning the Drell-Söding contribution

Abstract

We update our analyses concerning the non-resonant (Drell-Söding) contribution to the reaction γ(*) p → π+ π− p, now including general vertex functions for the coupling of pomeron, f2 ℝ, and ρℝ, to pions. This takes into account the off-shellness of the pions. We present a comparison of our tensor-pomeron model, including our new Drell-Söding and ρ, ω vector-meson contributions, with data for the γp → π+ π− p reaction measured by the ZEUS and H1 Collaborations. We find very good agreement of our theory with the experimental data for the π+ π− invariant mass (Mππ) and for angular distributions. Here we restrict our analysis to the region Mππ ≲ 1.2 GeV. For higher values of Mππ we will have to consider production of higher-mass mesons. The purpose of the present article is to show that our tensor-pomeron model gives a very good fit to the so-called skewing of the ρ-resonance contribution in photoproduction. In fact, it is an old problem/puzzle to understood the difference of the shapes of the Mππ distributions in the region of the ρ(770) resonance in e+ e− annihilation and photoproduction. We think that with our results we have obtained for this problem a solution which is very satisfactory from the Quantum-Field-Theory point of view. Our results are also relevant for central-exclusive π+ π− production in ultraperipheral pp, Ap, and AA collisions at the LHC and for photo- and electroproduction of π+ π− at future electron-proton/ion colliders, EIC and LeHC.

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BibTeX
@misc{lebiedowicz2026addendum,
  title = {{Addendum: Production of $π^+ π^-$ pairs in diffractive photon-proton and in proton-proton collisions revisited, in particular concerning the Drell-Söding contribution}},
  author = {Piotr Lebiedowicz and Otto Nachtmann and Antoni Szczurek},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.01285},
  eprint = {2609.01285},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.01285},
  note = {CC BY-SA 4.0},
}
RIS
TY  - UNPB
TI  - Addendum: Production of π^+ π^− pairs in diffractive photon-proton and in proton-proton collisions revisited, in particular concerning the Drell-Söding contribution
AU  - Piotr Lebiedowicz
AU  - Otto Nachtmann
AU  - Antoni Szczurek
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.01285
UR  - https://arxiv.org/abs/2609.01285
AB  - We update our analyses concerning the non-resonant (Drell-Söding) contribution to the reaction γ^(*) p → π^+ π^− p, now including general vertex functions for the coupling of pomeron, f_2 ℝ, and ρ_ℝ, to pions. This takes into account the off-shellness of the pions. We present a comparison of our tensor-pomeron model, including our new Drell-Söding and ρ, ω vector-meson contributions, with data for the γp → π^+ π^− p reaction measured by the ZEUS and H1 Collaborations. We find very good agreement of our theory with the experimental data for the π^+ π^− invariant mass (M_ππ) and for angular distributions. Here we restrict our analysis to the region M_ππ ≲ 1.2 GeV. For higher values of M_ππ we will have to consider production of higher-mass mesons. The purpose of the present article is to show that our tensor-pomeron model gives a very good fit to the so-called skewing of the ρ-resonance contribution in photoproduction. In fact, it is an old problem/puzzle to understood the difference of the shapes of the M_ππ distributions in the region of the ρ(770) resonance in e^+ e^− annihilation and photoproduction. We think that with our results we have obtained for this problem a solution which is very satisfactory from the Quantum-Field-Theory point of view. Our results are also relevant for central-exclusive π^+ π^− production in ultraperipheral pp, Ap, and AA collisions at the LHC and for photo- and electroproduction of π^+ π^− at future electron-proton/ion colliders, EIC and LeHC.
ER  -