Light-front Ward-Takahashi identity for two-fermion systems

Marinho, J. A. O.; Frederico, T.; Pace, E.; Salmè, G.; Sauer, P.U.

doi:10.1103/physrevd.77.116010

Cited by 23 publications

(51 citation statements)

References 36 publications

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“…To discuss the wave function dependence of the LF zero-mode [49][50][51][52][53][54][55][56][57][58] contributions to φ P 3;M (x) and φ ⊥ 3;V (x), we analyzed both the exactly solvable manifestly covariant Bethe-Salpeter (BS) model and the more phenomenologically accessible realistic LFQM [24,26] in the standard LF approach. The purpose of taking the exactly solvable covariant BS model was to check the existence (or absence) of the zero mode in each channel, e.g.…”

Section: Introductionmentioning

confidence: 99%

Two-particle twist-3 distribution amplitudes of the pion and kaon in the light-front quark model

Choi

2017

Phys. Rev. D

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We investigate the two-particle twist-3 distribution amplitudes (DAs) of the pseudoscalar mesons, in particular pseudoscalar (φ P 3;M (x)) and pseudotensor (φ σ 3;M (x)) DAs of pion and kaon, in the lightfront quark model based on the variational principle. We find that the behavior of the conformal symmetry in each meson distribution amplitude depends on the chiral limit characteristics of the light-front trial wave function taken in the variational principle. We specifically take the two different light-front trial wave functions, Gaussian vs. power-law type, and discuss their characteristics of the conformal symmetry in the chiral symmetry limit as well as their resulting degree of the conformal symmetry breaking in φ P 3;M (x) and φ σ 3;M (x) depending on the trial wave function taken in the computation. We present numerical results of transverse moments, Gegenbauer-moments and ξ-moments and compare them with other available model estimates. The SU(3) flavor-symmetry breaking effect is also quantified with the numerical computation.

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Section: Introductionmentioning

confidence: 99%

Two-particle twist-3 distribution amplitudes of the pion and kaon in the light-front quark model

Choi

2017

Phys. Rev. D

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“…One may wonder how the valence wave function be able to generate the whole physical complexity of the full BS amplitude. Indeed, within a non perturbative framework, it formally turns out [24][25][26][27][28][29] that by introducing the pro-jection onto the null-plane, namely the analytic integration over the variable k − = k 0 − k 3 , the full BS amplitude can be expressed in terms of the valence component and an operator, producing the richness of the Fock states on top of the lowest one. It must be emphasized that such a result has been obtained for both bound and scattering states of bosonic and fermionic systems.…”

Section: Introductionmentioning

confidence: 99%

Two-body scattering states in Minkowski space and the Nakanishi integral representation onto the null plane

2012

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The Nakanishi perturbative integral representation of the four-dimensional T-matrix is investigated in order to get a workable treatment for scattering states, solutions of the inhomogeneous Bethe-Salpeter Equation, in Minkowski space. The projection onto the null-plane of the fourdimensional inhomogeneous Bethe-Salpeter Equation plays a key role for devising an equation for the Nakanishi weight function (a real function), as in the homogeneous case that corresponds to bound states and it has been already studied within different frameworks. In this paper, the whole formal development is illustrated in detail and applied to a system, composed by two massive scalars interacting through the exchange of a massive scalar. The explicit expression of the scattering integral equations are also obtained in ladder approximation, and, as simple applications of our formalism, some limiting cases, like the zero-energy limit and the Wick-Cutkosky model in the continuum, are presented.

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“…Two convenient operators were introduced in ref. [35], which helps to make the notation more transparent, namely the so-called free light-front reversed operators…”

Section: Qpa and Decay Amplitudementioning

confidence: 99%

“…[31] based on the quasi-potential approach (QPA). The reduced amplitudes derived using the tools developed in a series of works [31][32][33][34][35] and reviewed in [36], depends only three-dimensional variables, namely, the kinematical LF momentum k ≡ (k + , k ⊥ ), defined by k + = k 0 + k 3 and k ⊥ = {k x , k y }. The phase-space integration is normalized according to dk…”

Section: Fsi Light-front Dynamics In Heavy Meson Decaymentioning

confidence: 99%

“…We use a parametrization of the Kπ scattering amplitude in I = 1/2 and 3/2, which is input to the bachelor integral equations, and constitutes one source of the energy dependence seen in the D + → K − π + π + S-wave phase shift, besides the phase of the Kπ amplitude. Technically, we perform the light-front projection of the equations [31][32][33][34][35][36][37], to simplify the numerical computation of the observables by three-dimensional integrations. These techniques are well exemplified in the reviews of applications of light-front field theory to nuclear and hadron physics [38,39].…”

Section: Jhep08(2014)135mentioning

confidence: 99%

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Final state interaction in D + → K − π + π + with Kπ I = 1/2 and 3/2 channels

Guimaraes

Lourenço

Paula

et al. 2014

J. High Energ. Phys.

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The final state interaction contribution to D + decays is computed for the K − π + π + channel within a light-front relativistic three-body model for the final state interaction. The rescattering process between the kaon and two pions in the decay channel is considered. The off-shell decay amplitude is a solution of a four-dimensional Bethe-Salpeter equation, which is decomposed in a Faddeev form. The projection onto the light-front of the coupled set of integral equations is performed via a quasi-potential approach. The S-wave Kπ interaction is introduced in the resonant isospin 1/2 and the non-resonant isospin 3/2 channels. The numerical solution of the light-front tridimensional inhomogeneous integral equations for the Faddeev components of the decay amplitude is performed perturbatively. The loop-expansion converges fast, and the three-loop contribution can be neglected in respect to the two-loop results for the practical application. The dependence on the model parameters in respect to the input amplitude at the partonic level is exploited and the phase found in the experimental analysis, is fitted with an appropriate choice of the real weights of the isospin components of the partonic amplitude. The data suggests a small mixture of total isospin 5/2 to the dominant 3/2 one. The modulus of the unsymmetrized decay amplitude, which presents a deep valley and a following increase for Kπ masses above 1.5 GeV, is fairly reproduced. This suggests the assignment of the quantum numbers 0 + to the isospin 1/2 K * (1630) resonance.

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Light-front Ward-Takahashi identity for two-fermion systems

Cited by 23 publications

References 36 publications

Two-particle twist-3 distribution amplitudes of the pion and kaon in the light-front quark model

Two-particle twist-3 distribution amplitudes of the pion and kaon in the light-front quark model

Two-body scattering states in Minkowski space and the Nakanishi integral representation onto the null plane

Final state interaction in D + → K − π + π + with Kπ I = 1/2 and 3/2 channels

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