High-energy ππ scattering without and with photon radiation

We discuss the processes ππ→ππ and ππ→ππγ from a general quantum field theory (QFT) point of view. In the soft-photon limit where the photon energy ω→0 we study the theorem due to F.E. Low. We confirm his result for the 1/ω term of the ππ→ππγ amplitude but disagree for the ω0 term. We analyze the or...

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Hauptverfasser: Lebiedowicz, Piotr (VerfasserIn) , Nachtmann, Otto (VerfasserIn) , Szczurek, Antoni (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 24 January 2022
In: Physical review
Year: 2022, Jahrgang: 105, Heft: 1, Pages: 1-40
ISSN:2470-0029
DOI:10.1103/PhysRevD.105.014022
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevD.105.014022
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.105.014022
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Verfasserangaben:Piotr Lebiedowicz, Otto Nachtmann, and Antoni Szczurek
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Zusammenfassung:We discuss the processes ππ→ππ and ππ→ππγ from a general quantum field theory (QFT) point of view. In the soft-photon limit where the photon energy ω→0 we study the theorem due to F.E. Low. We confirm his result for the 1/ω term of the ππ→ππγ amplitude but disagree for the ω0 term. We analyze the origin of this discrepancy. Then we calculate the amplitudes for the above reactions in the tensor-Pomeron model. We identify places where “anomalous” soft photons could come from. Three soft-photon approximations (SPAs) are introduced. The corresponding SPA results are compared to those obtained from the full tensor-Pomeron model for c.m. energies √s=10 GeV and 100 GeV. The kinematic regions where the SPAs are a good representation of the full amplitude are determined. Finally we make some remarks on the type of fundamental information one could obtain from high-energy exclusive hadronic reactions without and with soft photon radiation.
Beschreibung:Gesehen am 14.09.2022
Beschreibung:Online Resource
ISSN:2470-0029
DOI:10.1103/PhysRevD.105.014022