Zero mode effect generalization for the electromagnetic current in the light front

Suzuki, Alfredo Takashi; Sales, Jorge Henrique; Soriano, L. A.

doi:10.1103/physrevd.88.025036

Cited by 5 publications

(11 citation statements)

References 25 publications

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“…However, results from different current components may be different due to violations of Lorentz symmetry introduced by the Fock sector truncation as well as by the modeling of systems. These approximations have led to extensive discussions in the literature [11][12][13][14][15]. The "+" component, known as the "good current", is typically used, together with the Drell-Yan frame (q + = 0), to avoid contributions from pair production/annihilation in vacuum.…”

Section: B Light-front Dynamicsmentioning

confidence: 99%

“…However, withV m j =1 (Q 2 ), simply taking the nonrelativistic wavefunction would always lead to zero since the expression in Eq. (14) involves the vanishing subdominant terms. 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.…”

Section: Impulse Approximationmentioning

confidence: 99%

“…6. (14) 0.156 (30) 0.081(13) 0.062(10) 0.050 0.17 (10) 0.025(13) 0.035 0.084 Υ(3S ) → η b (2S ) + γ < 0.167 0.145 (33) 0.056 0.65…”

Section: Decay Constantsunclassified

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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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Section: B Light-front Dynamicsmentioning

confidence: 99%

Section: Impulse Approximationmentioning

confidence: 99%

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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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“…In our work we show that these arc contributions are absent for we deal with "ladder" type diagrams and evaluating all the relevant ranges of integration for k + variables we get the correct terms equivalent to the results of computations obtained via covariant Minkowski calculations. This being our present case, it is well worth noting that no "treacherous" points have to be dealt with in our "ladder" diagram type calculations and also that our methodology does not involve any subtle or difficult points like in the case of those treacherous arc contributions, recognized as not only very difficult to handle but requiring careful consideration of the limiting procedure and thus of end-point singularities [3].…”

Section: Introductionmentioning

confidence: 89%

“…However, this procedure of "pole dislocation" has no physical grounds and the arrival at the correct result is just fortuitous. We demonstrate that the light front Fock space of positive quanta solutions is incomplete and that as a consequence the non triviality of the light front vacuum is a mandatory feature in the new scenario [3].…”

Section: Introductionmentioning

confidence: 94%

Zero Mode Effect Generalization for the Electromagnetic Current in the Light Front: Fermion Case

2014

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Frame dependence of transition form factors in light-front dynamics

Maris

et al. 2019

Phys. Rev. D

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We study the radiative transitions between vector and pseudoscalar quarkonia in the light-front Hamiltonian approach, and investigate the effects of using different current component and different reference frames. In practical calculations with truncated Fock spaces, transition form factors may acquire current component dependence and frame dependence, and such dependences could serve as a measure for the Lorentz symmetry violation. We suggest using the transverse current with m j = 0 state of the vector meson, since this procedure employs the dominant spin components of the light-front wavefunctions and is more robust in practical calculations. We calculate the transition form factor between vector and pseudoscalar quarkonia and investigate the frame dependence with light-front wavefunctions calculated from the valence Fock sector. We suggest using frames with minimal longitudinal momentum transfer for calculations in the valence Fock sector, namely the Drell-Yan frame for the space-like region and a specific longitudinal frame for the timelike region; at q 2 = 0 these two frames give the same result.

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Zero mode effect generalization for the electromagnetic current in the light front

Cited by 5 publications

References 25 publications

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

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

Zero Mode Effect Generalization for the Electromagnetic Current in the Light Front: Fermion Case

Frame dependence of transition form factors in light-front dynamics

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