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χc2 tensor meson transition form factors in the light front approach

Babiarz, Izabela ; Pasechnik, Roman LU ; Schäfer, Wolfgang and Szczurek, Antoni (2024) In Journal of High Energy Physics 2024(6).
Abstract

We continue our work on the light-front formulation of quarkonium γ∗γ transition form factors, extending the formalism to JPC = 2++ tensor meson states. We present an analysis of γ∗γ → χc2 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 Jz = 0, 1, 2 as a function of photon virtuality Q2. 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... (More)

We continue our work on the light-front formulation of quarkonium γ∗γ transition form factors, extending the formalism to JPC = 2++ tensor meson states. We present an analysis of γ∗γ → χc2 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 Jz = 0, 1, 2 as a function of photon virtuality Q2. 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 qq¯-mesons.

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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Properties of Hadrons, Quarkonium
in
Journal of High Energy Physics
volume
2024
issue
6
article number
159
publisher
Springer
external identifiers
  • scopus:85196762844
ISSN
1029-8479
DOI
10.1007/JHEP06(2024)159
language
English
LU publication?
yes
id
740f4508-7d34-4a13-b61d-fd3f716ea03a
date added to LUP
2024-08-20 13:33:57
date last changed
2024-08-20 13:35:06
@article{740f4508-7d34-4a13-b61d-fd3f716ea03a,
  abstract     = {{<p>We continue our work on the light-front formulation of quarkonium γ<sup>∗</sup>γ transition form factors, extending the formalism to J<sup>PC</sup> = 2<sup>++</sup> tensor meson states. We present an analysis of γ<sup>∗</sup>γ → χ<sub>c2</sub> 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<sup>∗</sup>γ transition form factors for J<sub>z</sub> = 0, 1, 2 as a function of photon virtuality Q<sup>2</sup>. 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<sup>−3</sup> 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<sup>++</sup> mesons, excited charmonia or bottomonia or even light qq¯-mesons.</p>}},
  author       = {{Babiarz, Izabela and Pasechnik, Roman and Schäfer, Wolfgang and Szczurek, Antoni}},
  issn         = {{1029-8479}},
  keywords     = {{Properties of Hadrons; Quarkonium}},
  language     = {{eng}},
  number       = {{6}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{χ<sub>c2</sub> tensor meson transition form factors in the light front approach}},
  url          = {{http://dx.doi.org/10.1007/JHEP06(2024)159}},
  doi          = {{10.1007/JHEP06(2024)159}},
  volume       = {{2024}},
  year         = {{2024}},
}