Spacelike and timelike pion electromagnetic form factor and Fock state components within the light-front dynamics

Melo, J. P. B. C. de; Frederico, T.; Pace, E.; Salmè, G.

doi:10.1103/physrevd.73.074013

Cited by 74 publications

(68 citation statements)

References 87 publications

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“…[5] are rather formal and no explicit application is presented. Subsequently the whole form factor analysis has been redone in the front form of relativistic quantum mechanics [9] and applied to the calculation of electromagnetic properties of the deuteron [10] and the pion [11].…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic meson form factor from a relativistic coupled-channels approach

et al. 2009

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Point-form relativistic quantum mechanics is used to derive an expression for the electromagnetic form factor of a pseudoscalar meson for spacelike momentum transfers. The elastic scattering of an electron by a confined quark-antiquark pair is treated as a relativistic two-channel problem for the qqe and qqeγ states. With the approximation that the total velocity of the qqe system is conserved at (electromagnetic) interaction vertices this simplifies to an eigenvalue problem for a Bakamjian-Thomas type mass operator. After elimination of the qqeγ channel the electromagnetic meson current and form factor can be directly read off from the one-photon-exchange optical potential. By choosing the invariant mass of the electron-meson system large enough, cluster separability violations become negligible. An equivalence with the usual front-form expression, resulting from a spectator current in the q + = 0 reference frame, is established. The generalization of this multichannel approach to electroweak form factors for an arbitrary bound few-body system is quite obvious. By an appropriate extension of the Hilbert space this approach is also able to accommodate exchange-current effects.

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Section: Introductionmentioning

confidence: 99%

Electromagnetic meson form factor from a relativistic coupled-channels approach

et al. 2009

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“…This implies one relative time t, that according to Eqs. (33,35) has the magnitude of t 1 − t 2 (for example, in a symmetric model t = (t 1 − t 2 )/2). For |t| ≫ 1/a, R(t) is very small.…”

Section: Case 3 Monopole-like Shapementioning

confidence: 99%

“…In addition, a large number of poles is used, with parameters partly determined by phenomenology and partly by a dynamic model. Later on, non valence 4-constituent states have been added [35]. The approach based on AdS/QCD correspondence used in Ref.…”

Section: Introductionmentioning

confidence: 99%

Fourth dimension of the nucleon structure: Spacetime analysis of the timelike electromagnetic proton form factors

Bianconi

Tomasi–Gustafsson

2017

Phys. Rev. C

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As well known, spacelike proton form factors expressed in the Breit frame may be interpreted as the Fourier transform of static space distributions of electric charge and current. In particular, the electric form factor is simply the Fourier transform of the charge distribution F (q) = e i q· r ρ(r)d 3 r. We don't have an intuitive interpretation of the same level of simplicity for the proton timelike form factor appearing in the reactions e + e − ↔pp. However, one may suggest that in the center of mass (CM) frame, where qµx µ = qt, a timelike electric form factor is the Fourier transform F (q) = e iqt R(t)dt of a function R(t) expressing how the electric properties of the forming (or annihilating) proton-antiproton pair evolve in time. Here we analyze in depth this idea, show that the functions ρ(r) and R(t) can be formally written as the time and space integrals of a unique correlation function depending on both time and space coordinates.

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“…[20] for the calculation of the e.m. FFs both in the spacelike and timelike region. Starting from the same formal expression of Eq.…”

Section: Gpds In Covariant and Light-front Relativistic Modelsmentioning

confidence: 99%

Generalized parton distributions of the pion in a covariant Bethe-Salpeter model and light-front models

Frederico

Pace

Pasquini

et al. 2010

Nuclear Physics B - Proceedings Supplements

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Spacelike and timelike pion electromagnetic form factor and Fock state components within the light-front dynamics

Cited by 74 publications

References 87 publications

Electromagnetic meson form factor from a relativistic coupled-channels approach

Electromagnetic meson form factor from a relativistic coupled-channels approach

Fourth dimension of the nucleon structure: Spacetime analysis of the timelike electromagnetic proton form factors

Generalized parton distributions of the pion in a covariant Bethe-Salpeter model and light-front models

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