Frame dependence of form factors in light-front dynamics

Li, Yang; Maris, Pieter; Vary, James P.

doi:10.1103/physrevd.97.054034

Cited by 24 publications

(34 citation statements)

References 50 publications

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“…Note that we use J R/L ≡ J x ± iJ y as the transverse currents. We introduce two variables, z ≡ (P + − P + )/P + and ∆ ⊥ ≡ q ⊥ − z P ⊥ such that q [2,3]. For each possible value of q 2 , the different choices on the value of the pair (z, ∆ ⊥ ) correspond to different frames.…”

Section: Transition Form Factormentioning

confidence: 99%

Frame dependence of transition form factors in light-front dynamics

Li¹

2020

Proceedings of Light Cone 2019 - QCD on the Light Cone: From Hadrons to Heavy Ions — PoS(LC2019)

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Section: Transition Form Factormentioning

confidence: 99%

Frame dependence of transition form factors in light-front dynamics

Li¹

2020

Proceedings of Light Cone 2019 - QCD on the Light Cone: From Hadrons to Heavy Ions — PoS(LC2019)

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“…To be specific, we examine the transition form factors at Q 2 = 0, where they can be interpreted as the overlaps of wavefunctions in coordinate space [ψ (m j ) ss ( r ⊥ , x)], shown in Eqs. (15) and (16). Though equivalent to Eqs.…”

Section: Impulse Approximationmentioning

confidence: 99%

Radiative transitions between 0−+ and 1−− heavy quarkonia on the light front

Li¹,

Li²,

Maris³

et al. 2018

Phys. Rev. D

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We present calculations of radiative transitions between vector and pseudoscalar quarkonia in the light-front Hamiltonian approach. The valence sector light-front wavefunctions of heavy quarkonia are obtained from the Basis Light-Front Quantization (BLFQ) approach in a holographic basis. We study the transition form factor with both the traditional "good current" J + and the transverse current J ⊥ (in particular, J R = J x + iJ y ). This allows us to investigate the role of rotational symmetry by considering vector mesons with different magnetic projections (m j = 0, ±1). We use the m j = 0 state of the vector meson to obtain the transition form factor, since this procedure employs the dominant spin components of the light-front wavefunctions and is more robust in practical calculations. While the m j = ±1 states are also examined, transition form factors depend on subdominant components of the light-front wavefunctions and are less robust. Transitions between states below the open-flavor thresholds are computed, including those for excited states. Comparisons are made with the experimental measurements as well as with Lattice QCD and quark model results. In addition, we apply the transverse current to calculate the decay constant of vector mesons where we obtain consistent results using either m j = 0 or m j = 1 light-front wavefunctions. This consistency provides evidence for features of rotational symmetry within the model.

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“…A popular non-covariant method to calculate GPDs is the overlap representation using a truncated light front basis expansion [47]. The truncation in particular is not invariant under the full Lorentz group [48,49], and moreover leads to missing terms in the overlap representation of the ERBL region, since the GPD in the ERBL region is generated by the overlap of Fock states with different numbers of partons.…”

Section: Proton Gpd Resultsmentioning

confidence: 99%

Impact of dynamical chiral symmetry breaking and dynamical diquark correlations on proton generalized parton distributions

Freese

Cloët

2020

Phys. Rev. C

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We calculate the leading-twist, helicity-independent generalized parton distributions (GPDs) of the proton, at finite skewness, in the Nambu-Jona-Lasinio (NJL) model of quantum chomodynamics (QCD). The NJL model reproduces low-energy characteristics of QCD, including dynamical chiral symmetry breaking (DCSB). The proton bound-state amplitude is solved for using the Faddeev equation in a quark-diquark approximation, including both dynamical scalar and axial vector diquarks. GPDs are calculated using a dressed non-local correlator, consistent with DCSB, which is obtained by solving a Bethe-Salpeter equation. The model and approximations used observe Lorentz covariance, and as a consequence the GPDs obey polynomiality sum rules. The electromagnetic and gravitational form factors are obtained from the GPDs. We find a D-term of −0.94 when the non-local correlator is properly dressed, and 0.97 when the bare correlator is used instead, suggesting that within this framework proton stability requires the constituent quarks to be dressed consistently with DCSB. We also find that the anomalous gravitomagnetic moment vanishes, as required by Poincaré symmetry.

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Frame dependence of form factors in light-front dynamics

Cited by 24 publications

References 50 publications

Frame dependence of transition form factors in light-front dynamics

Frame dependence of transition form factors in light-front dynamics

Radiative transitions between 0−+ and 1−− heavy quarkonia on the light front

Impact of dynamical chiral symmetry breaking and dynamical diquark correlations on proton generalized parton distributions

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