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γ∗γ∗ →ηc (1S,2S) transition form factors for spacelike photons

Babiarz, Izabela LU ; Goncalves, Victor P. LU ; Pasechnik, Roman LU ; Schäfer, Wolfgang and Szczurek, Antoni (2019) In Physical Review D 100(5).
Abstract

We derive the light-front wave function (LFWF) representation of the γ∗γ∗→ηc(1S),ηc(2S) transition form factor F(Q12,Q22) for two virtual photons in the initial state. For the LFWF, we use different models obtained from the solution of the Schrödinger equation for a variety of cc̄ potentials. We compare our results to the BABAR experimental data for the ηc(1S) transition form factor, for one real and one virtual photon. We observe that the onset of the asymptotic behavior is strongly delayed and discuss applicability of the collinear and/or massless limit. We present some examples of two-dimensional distributions for F(Q12,Q22). A factorization breaking measure is proposed and factorization breaking effects are quantified and shown to... (More)

We derive the light-front wave function (LFWF) representation of the γ∗γ∗→ηc(1S),ηc(2S) transition form factor F(Q12,Q22) for two virtual photons in the initial state. For the LFWF, we use different models obtained from the solution of the Schrödinger equation for a variety of cc̄ potentials. We compare our results to the BABAR experimental data for the ηc(1S) transition form factor, for one real and one virtual photon. We observe that the onset of the asymptotic behavior is strongly delayed and discuss applicability of the collinear and/or massless limit. We present some examples of two-dimensional distributions for F(Q12,Q22). A factorization breaking measure is proposed and factorization breaking effects are quantified and shown to be almost model independent. Factorization is shown to be strongly broken, and a scaling of the form factor as a function of Q̄2=(Q12+Q22)/2 is obtained.

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author
; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review D
volume
100
issue
5
article number
054018
publisher
American Physical Society
external identifiers
  • scopus:85072976119
ISSN
2470-0010
DOI
10.1103/PhysRevD.100.054018
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2019 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the https://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP.
id
213951b0-0757-47d6-bfa6-2925c14e32b6
date added to LUP
2022-04-03 17:54:13
date last changed
2024-04-20 06:25:46
@article{213951b0-0757-47d6-bfa6-2925c14e32b6,
  abstract     = {{<p>We derive the light-front wave function (LFWF) representation of the γ∗γ∗→ηc(1S),ηc(2S) transition form factor F(Q12,Q22) for two virtual photons in the initial state. For the LFWF, we use different models obtained from the solution of the Schrödinger equation for a variety of cc̄ potentials. We compare our results to the BABAR experimental data for the ηc(1S) transition form factor, for one real and one virtual photon. We observe that the onset of the asymptotic behavior is strongly delayed and discuss applicability of the collinear and/or massless limit. We present some examples of two-dimensional distributions for F(Q12,Q22). A factorization breaking measure is proposed and factorization breaking effects are quantified and shown to be almost model independent. Factorization is shown to be strongly broken, and a scaling of the form factor as a function of Q̄2=(Q12+Q22)/2 is obtained.</p>}},
  author       = {{Babiarz, Izabela and Goncalves, Victor P. and Pasechnik, Roman and Schäfer, Wolfgang and Szczurek, Antoni}},
  issn         = {{2470-0010}},
  language     = {{eng}},
  month        = {{09}},
  number       = {{5}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review D}},
  title        = {{γ∗γ∗ →ηc (1S,2S) transition form factors for spacelike photons}},
  url          = {{http://dx.doi.org/10.1103/PhysRevD.100.054018}},
  doi          = {{10.1103/PhysRevD.100.054018}},
  volume       = {{100}},
  year         = {{2019}},
}