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Light-front approach to axial-vector quarkonium γ * γ * form factors

Babiarz, Izabela ; Pasechnik, Roman LU ; Schäfer, Wolfgang and Szczurek, Antoni (2022) In Journal of High Energy Physics 2022(9).
Abstract

In this work, we perform a detailed study of transition form factors for axial- vector meson production via the two-photon fusion process γ*γ* → 1++, with space-like virtual photons in the initial state and a P-wave axial-vector quarkonium in the final state. In this analysis, we employ the formalism of light-front quarkonium wave functions obtained from a solution of the Schrödinger equation for a selection of interquark potentials for QQ¯ interaction. We found the helicity structure and covariant decomposition of the matrix elements that can be generically applied for any qq¯ axial-vector meson γ*γ* → 1++ transition, while our numerical results are given for the... (More)

In this work, we perform a detailed study of transition form factors for axial- vector meson production via the two-photon fusion process γ*γ* → 1++, with space-like virtual photons in the initial state and a P-wave axial-vector quarkonium in the final state. In this analysis, we employ the formalism of light-front quarkonium wave functions obtained from a solution of the Schrödinger equation for a selection of interquark potentials for QQ¯ interaction. We found the helicity structure and covariant decomposition of the matrix elements that can be generically applied for any qq¯ axial-vector meson γ*γ* → 1++ transition, while our numerical results are given for the phenomenologically relevant charmonium χc1 state. We present the helicity form factors as functions of both photon virtualities. We also obtain, that QFLT(Q2, 0)/FTT(Q2, 0) = const.

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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Quarkonium, Specific QCD Phenomenology
in
Journal of High Energy Physics
volume
2022
issue
9
article number
170
publisher
Springer
external identifiers
  • scopus:85138552656
ISSN
1029-8479
DOI
10.1007/JHEP09(2022)170
language
English
LU publication?
yes
id
fb2ddbab-3bc9-41fd-8426-6703e4dc091b
date added to LUP
2022-12-14 09:56:15
date last changed
2024-04-14 10:18:55
@article{fb2ddbab-3bc9-41fd-8426-6703e4dc091b,
  abstract     = {{<p>In this work, we perform a detailed study of transition form factors for axial- vector meson production via the two-photon fusion process γ<sup>*</sup>γ<sup>*</sup> → 1<sup>++</sup>, with space-like virtual photons in the initial state and a P-wave axial-vector quarkonium in the final state. In this analysis, we employ the formalism of light-front quarkonium wave functions obtained from a solution of the Schrödinger equation for a selection of interquark potentials for QQ¯ interaction. We found the helicity structure and covariant decomposition of the matrix elements that can be generically applied for any qq¯ axial-vector meson γ<sup>*</sup>γ<sup>*</sup> → 1<sup>++</sup> transition, while our numerical results are given for the phenomenologically relevant charmonium χ<sub>c1</sub> state. We present the helicity form factors as functions of both photon virtualities. We also obtain, that QF<sub>LT</sub>(Q<sup>2</sup>, 0)/F<sub>TT</sub>(Q<sup>2</sup>, 0) = const.</p>}},
  author       = {{Babiarz, Izabela and Pasechnik, Roman and Schäfer, Wolfgang and Szczurek, Antoni}},
  issn         = {{1029-8479}},
  keywords     = {{Quarkonium; Specific QCD Phenomenology}},
  language     = {{eng}},
  number       = {{9}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{Light-front approach to axial-vector quarkonium γ <sup>*</sup> γ <sup>*</sup> form factors}},
  url          = {{http://dx.doi.org/10.1007/JHEP09(2022)170}},
  doi          = {{10.1007/JHEP09(2022)170}},
  volume       = {{2022}},
  year         = {{2022}},
}