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Title: Doubly virtual ( π 0 , η , η ' ) γ * γ * transition form factors in the light-front quark model

Abstract

We report our investigation on the doubly virtual transition form factors (TFFs) F P γ * ( Q 1 2 , Q 2 2 ) for the P γ * ( q 1 ) γ * ( q 2 ) ( P = π 0 , η , η ' ) transitions using the light-front quark model (LFQM). Performing a LF calculation in the exactly solvable manifestly covariant Bethe-Salpeter (BS) model as the first illustration, we use the q 1 + = 0 frame and find that both LF and manifestly covariant calculations produce exactly the same results for F P γ * ( Q 1 2 , Q 2 2 ) . This confirms the absence of the LF zero mode in the doubly virtual TFFs. We then map this covariant BS model to the standard LFQM using the more phenomenologically accessible Gaussian wave function provided by the LFQM analysis of meson mass spectra. For the numerical analyses of F P γ * ( Q 1 2 , Q 2 2 ) , we compare our LFQM results with the available experimental data and the perturbative QCD (pQCD) and vector meson dominance (VMD) model predictions. As ( Q 1 2 , Q 2 2 ) , our LFQM result for doubly virtual TFF is consistent with the pQCD prediction, i.e., F P γ * ( Q 1 2 , Q 2 2 ) ~ 1 / ( Q 1 2 + Q 2 2 ) , while it differs greatly from the result of the VMD model, which behaves as F P γ * VMD ( Q 1 2 , Q 2 2 ) ~ 1 / ( Q 1 2 Q 2 2 ) . Our LFQM prediction for F η ' γ * ( Q 1 2 , Q 2 2 ) shows an agreement with the very recent experimental data obtained from the BABAR Collaboration for the ranges of 2 < ( Q 1 2 , Q 2 2 ) < 60 GeV 2 .

Authors:
; ;
Publication Date:
Research Org.:
North Carolina State Univ., Raleigh, NC (United States)
Sponsoring Org.:
USDOE Office of Science (SC); National Research Foundation of Korea (NRF)
OSTI Identifier:
1507811
Alternate Identifier(s):
OSTI ID: 1609458
Grant/Contract Number:  
FG02-03ER41260; NRF-2017R1D1A1B03033129; 2015R1A2A2A01004238
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 7; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; Astronomy & Astrophysics; Physics

Citation Formats

Choi, Ho-Meoyng, Ryu, Hui-Young, and Ji, Chueng-Ryong. Doubly virtual ( π 0 , η , η ' ) → γ * γ * transition form factors in the light-front quark model. United States: N. p., 2019. Web. https://doi.org/10.1103/PhysRevD.99.076012.
Choi, Ho-Meoyng, Ryu, Hui-Young, & Ji, Chueng-Ryong. Doubly virtual ( π 0 , η , η ' ) → γ * γ * transition form factors in the light-front quark model. United States. https://doi.org/10.1103/PhysRevD.99.076012
Choi, Ho-Meoyng, Ryu, Hui-Young, and Ji, Chueng-Ryong. Fri . "Doubly virtual ( π 0 , η , η ' ) → γ * γ * transition form factors in the light-front quark model". United States. https://doi.org/10.1103/PhysRevD.99.076012.
@article{osti_1507811,
title = {Doubly virtual ( π 0 , η , η ' ) → γ * γ * transition form factors in the light-front quark model},
author = {Choi, Ho-Meoyng and Ryu, Hui-Young and Ji, Chueng-Ryong},
abstractNote = {We report our investigation on the doubly virtual transition form factors (TFFs) FPγ*(Q12,Q22) for the P→γ*(q1)γ*(q2)(P=π0,η,η') transitions using the light-front quark model (LFQM). Performing a LF calculation in the exactly solvable manifestly covariant Bethe-Salpeter (BS) model as the first illustration, we use the q1+=0 frame and find that both LF and manifestly covariant calculations produce exactly the same results for FPγ*(Q12,Q22). This confirms the absence of the LF zero mode in the doubly virtual TFFs. We then map this covariant BS model to the standard LFQM using the more phenomenologically accessible Gaussian wave function provided by the LFQM analysis of meson mass spectra. For the numerical analyses of FPγ*(Q12,Q22), we compare our LFQM results with the available experimental data and the perturbative QCD (pQCD) and vector meson dominance (VMD) model predictions. As (Q12,Q22)→∞, our LFQM result for doubly virtual TFF is consistent with the pQCD prediction, i.e., FPγ*(Q12,Q22)~1/(Q12+Q22), while it differs greatly from the result of the VMD model, which behaves as FPγ*VMD(Q12,Q22)~1/(Q12Q22). Our LFQM prediction for Fη'γ*(Q12,Q22) shows an agreement with the very recent experimental data obtained from the BABAR Collaboration for the ranges of 2<(Q12,Q22)<60 GeV2.},
doi = {10.1103/PhysRevD.99.076012},
journal = {Physical Review D},
number = 7,
volume = 99,
place = {United States},
year = {2019},
month = {4}
}

Journal Article:
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https://doi.org/10.1103/PhysRevD.99.076012

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