Crossing symmetric potential model of pion-nucleon scattering

Boris Blankleider, Alexander Kvinikhidze, Tristan Skawronski

    Research output: Contribution to conferencePaper

    1 Citation (Scopus)

    Abstract

    A crossing symmetric πN scattering amplitude is constructed through a complete attachment of two external pions to the dressed nucleon propagator of an underlying πN potential model. Our formulation automatically provides expressions also for the crossing symmetric and gauge invariant pion photoproduction and Compton scattering amplitudes. We show that our amplitudes are unitary if they coincide on-shell with the amplitudes obtained by attaching one pion to the dressed πNN vertex of the same potential model.

    Original languageEnglish
    Pages19-24
    Number of pages6
    DOIs
    Publication statusPublished - 13 Dec 2010
    EventAchievements and New Directions in Sub-atomic Physics -
    Duration: 15 Feb 2010 → …

    Conference

    ConferenceAchievements and New Directions in Sub-atomic Physics
    Period15/02/10 → …

    Keywords

    • Crossing symmetry
    • Gauge invariance
    • Pion photoproduction
    • Pion-nucleon scattering
    • Unitarity

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  • Cite this

    Blankleider, B., Kvinikhidze, A., & Skawronski, T. (2010). Crossing symmetric potential model of pion-nucleon scattering. 19-24. Paper presented at Achievements and New Directions in Sub-atomic Physics, . https://doi.org/10.1063/1.3479344