χ c2 tensor meson transition form factors in the light front approach

Izabela Babiarz (Institute of Nuclear Physics, Polish Academy of Sciences, ul. Radzikowskiego 152, Kraków, PL-31-342, Poland) ; Roman Pasechnik (Department of Physics, Lund University, Lund, SE-223 62, Sweden) ; Wolfgang Schäfer (Institute of Nuclear Physics, Polish Academy of Sciences, ul. Radzikowskiego 152, Kraków, PL-31-342, Poland) ; Antoni Szczurek (Institute of Nuclear Physics, Polish Academy of Sciences, ul. Radzikowskiego 152, Kraków, PL-31-342, Poland; College of Mathematics and Natural Sciences, University of Rzeszów, ul. Pigonia 1, Rzeszów, PL-35-310, Poland)

We continue our work on the light-front formulation of quarkonium γ ∗ γ transition form factors, extending the formalism to J PC = 2++ tensor meson states. We present an analysis of γ ∗ γ → χ c2 transition amplitude and the pertinent helicity form factors. Our relativistic formalism is based on the light-front quark-antiquark wave function of the quarkonium. We calculate the two-photon decay width as well as three independent γ ∗ γ transition form factors for J z = 0, 1, 2 as a function of photon virtuality Q 2. We compare our results for the two-photon decay width to the recently measured ones by the Belle and BES III collaborations. Even when including relativistic corrections, a very small Γ(λ = 0)/Γ(λ = 2) ~ 10 −3 ratio is found which is beyond present experimental precision. We also present the form factors as a function of photon virtuality and compare them to the sparse experimental data on the so-called off-shell width. The formalism presented here can be used for other 2++ mesons, excited charmonia or bottomonia or even light q q ¯ $$ q\overline{q} $$ -mesons.

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      "surname": "Sch\u00e4fer", 
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      "surname": "Szczurek", 
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  "abstracts": [
    {
      "source": "Springer", 
      "value": "We continue our work on the light-front formulation of quarkonium \u03b3 \u2217 \u03b3 transition form factors, extending the formalism to J  PC  = 2++ tensor meson states. We present an analysis of \u03b3 \u2217 \u03b3 \u2192 \u03c7  c2 transition amplitude and the pertinent helicity form factors. Our relativistic formalism is based on the light-front quark-antiquark wave function of the quarkonium. We calculate the two-photon decay width as well as three independent \u03b3 \u2217 \u03b3 transition form factors for J  z  = 0, 1, 2 as a function of photon virtuality Q 2. We compare our results for the two-photon decay width to the recently measured ones by the Belle and BES III collaborations. Even when including relativistic corrections, a very small \u0393(\u03bb = 0)/\u0393(\u03bb = 2) ~ 10 \u22123 ratio is found which is beyond present experimental precision. We also present the form factors as a function of photon virtuality and compare them to the sparse experimental data on the so-called off-shell width. The formalism presented here can be used for other 2++ mesons, excited charmonia or bottomonia or even light   <math> <mi>q</mi> <mover> <mi>q</mi> <mo>\u00af</mo> </mover> </math>  $$ q\\overline{q} $$ -mesons."
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Published on:
24 June 2024
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2024 (2024)
Issue 6
Pages 1-21
DOI:
https://doi.org/10.1007/JHEP06(2024)159
arXiv:
2402.13910
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: