The γ∗γ∗→ ηc (1S; 2S) transition form factor from quarkonium wave functions

Izabela Babiarz, Victor P. Goncalves, Roman Pasechnik, Wolfgang Schä Fer, Antoni Szczurek

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceedingpeer-review

    Abstract

    We discuss γ ∗γ ∗→ ηc(1S) ; ηc (2S) transition form factor for both virtual photons. The general formula is given. We use difierent models for the cc̄ wave function obtained from the solution of the Schrödinger equation for diffierent cc̄ potentials: harmonic oscillator, Cornell, logarithmic, power-law, Coulomb and Buchmüller{Tye. We showed some examples of wave functions in the Light Front representation as well as in the rest frame of cc̄. We compare our results to the BaBar experimental data for ηc(1S), with one real and one virtual photon, and to the values collected by the Particle Data Group for the form factor F(0; 0), decay width τγ γ and decay constant fηc . We also consider the non-relativistic limit for F(0; 0) with the wave function evaluated at the origin R(0).

    Original languageEnglish
    Title of host publicationPHOTON 2019 - International Conference on the Structure and the Interactions of the Photon
    EditorsGennaro Corcella, Erika De Lucia, Pasquale Di Nezza, Paola Gianotti, Giulia Pancheri
    PublisherIstituto Nazionale di Fisica Nucleare
    Pages95-100
    Number of pages6
    ISBN (Electronic)9788886409704
    Publication statusPublished - 2019
    Event2019 International Conference on the Structure and the Interactions of the Photon, PHOTON 2019, Satellite Workshop on Photon Physics and Simulation at Hadron Colliders - Frascati, Italy
    Duration: 2019 Jun 32019 Jun 7

    Publication series

    NameFrascati Physics Series
    Volume69
    ISSN (Print)1122-5157

    Conference

    Conference2019 International Conference on the Structure and the Interactions of the Photon, PHOTON 2019, Satellite Workshop on Photon Physics and Simulation at Hadron Colliders
    Country/TerritoryItaly
    CityFrascati
    Period2019/06/032019/06/07

    Subject classification (UKÄ)

    • Mathematical Analysis

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