3D imaging of the pion off-shell electromagnetic form factors

Ho Meoyng Choi; T. Frederico; Chueng Ryong Ji; J. P.B.C. de Melo

3D imaging of the pion off-shell electromagnetic form factors

Ho Meoyng Choi
, T. Frederico
, Chueng Ryong Ji
, J. P.B.C. de Melo

Instituto Tecnológico de Aeronáutica
North Carolina State University
Universidade Cruzeiro do Sul

Research output: Contribution to journal › Conference article › peer-review

Abstract

We study the pion electromagnetic half-off-shell form factors F₁ and F₂ using an exactly solvable manifestly covariant model of a (3 + 1) dimensional fermion field theory. The model provides a three-dimensional imaging of F₁ and F₂ as a function of (Q²,t), which are constrained by the Ward-Takahashi identity. The normalization of the charge form factor F₁ is fixed by F₁(Q² = 0,t = m²_π) = 1 while the other form factor F₂ vanishes, i.e. F₂(Q²,t = m²_π) = 0 for any value of Q² due to the time-reversal invariance of the strong interaction. The new form factor defined by g(Q²,t) = F₂(Q²,t)/(t − m²_π) is however measurable in the on-mass-shell limit. We note that g(Q² = 0,t = m²_π) is related with the pion charge radius.

Original language	English
Journal	Proceedings of Science
Volume	374
State	Published - 2019
Event	2019 Light Cone - QCD on the Light Cone: From Hadrons to Heavy Ions, LC 2019 - Palaiseau, France Duration: 16 Sep 2019 → 19 Sep 2019

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@article{c2e5730675004fe89408a35e213c401e,

title = "3D imaging of the pion off-shell electromagnetic form factors",

abstract = "We study the pion electromagnetic half-off-shell form factors F1 and F2 using an exactly solvable manifestly covariant model of a (3 + 1) dimensional fermion field theory. The model provides a three-dimensional imaging of F1 and F2 as a function of (Q2,t), which are constrained by the Ward-Takahashi identity. The normalization of the charge form factor F1 is fixed by F1(Q2 = 0,t = m2π) = 1 while the other form factor F2 vanishes, i.e. F2(Q2,t = m2π) = 0 for any value of Q2 due to the time-reversal invariance of the strong interaction. The new form factor defined by g(Q2,t) = F2(Q2,t)/(t − m2π) is however measurable in the on-mass-shell limit. We note that g(Q2 = 0,t = m2π) is related with the pion charge radius.",

author = "Choi, \{Ho Meoyng\} and T. Frederico and Ji, \{Chueng Ryong\} and \{de Melo\}, \{J. P.B.C.\}",

note = "Publisher Copyright: {\textcopyright} Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).; 2019 Light Cone - QCD on the Light Cone: From Hadrons to Heavy Ions, LC 2019 ; Conference date: 16-09-2019 Through 19-09-2019",

year = "2019",

language = "English",

volume = "374",

journal = "Proceedings of Science",

issn = "1824-8039",

publisher = "Sissa Medialab Srl",

}

TY - JOUR

T1 - 3D imaging of the pion off-shell electromagnetic form factors

AU - Choi, Ho Meoyng

AU - Frederico, T.

AU - Ji, Chueng Ryong

AU - de Melo, J. P.B.C.

N1 - Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).

PY - 2019

Y1 - 2019

N2 - We study the pion electromagnetic half-off-shell form factors F1 and F2 using an exactly solvable manifestly covariant model of a (3 + 1) dimensional fermion field theory. The model provides a three-dimensional imaging of F1 and F2 as a function of (Q2,t), which are constrained by the Ward-Takahashi identity. The normalization of the charge form factor F1 is fixed by F1(Q2 = 0,t = m2π) = 1 while the other form factor F2 vanishes, i.e. F2(Q2,t = m2π) = 0 for any value of Q2 due to the time-reversal invariance of the strong interaction. The new form factor defined by g(Q2,t) = F2(Q2,t)/(t − m2π) is however measurable in the on-mass-shell limit. We note that g(Q2 = 0,t = m2π) is related with the pion charge radius.

AB - We study the pion electromagnetic half-off-shell form factors F1 and F2 using an exactly solvable manifestly covariant model of a (3 + 1) dimensional fermion field theory. The model provides a three-dimensional imaging of F1 and F2 as a function of (Q2,t), which are constrained by the Ward-Takahashi identity. The normalization of the charge form factor F1 is fixed by F1(Q2 = 0,t = m2π) = 1 while the other form factor F2 vanishes, i.e. F2(Q2,t = m2π) = 0 for any value of Q2 due to the time-reversal invariance of the strong interaction. The new form factor defined by g(Q2,t) = F2(Q2,t)/(t − m2π) is however measurable in the on-mass-shell limit. We note that g(Q2 = 0,t = m2π) is related with the pion charge radius.

UR - https://www.scopus.com/pages/publications/85085967133

M3 - Conference article

AN - SCOPUS:85085967133

SN - 1824-8039

VL - 374

JO - Proceedings of Science

JF - Proceedings of Science

T2 - 2019 Light Cone - QCD on the Light Cone: From Hadrons to Heavy Ions, LC 2019

Y2 - 16 September 2019 through 19 September 2019

ER -

3D imaging of the pion off-shell electromagnetic form factors

Abstract

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