Three-Boson systems in light-front dynamics

Marinho, J. A. O.; Frederico, T.

doi:10.1088/1742-6596/110/12/122009

Cited by 2 publications

(3 citation statements)

References 5 publications

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“…2 and 3 has been extended to three-particle systems in Ref. [19]. In the last years, within a LF framework, 3-body systems have been i) investigated within zero-range models [35,36], ii) applied to the description of the nucleon [37] and iii) adopted for analyzing the quark mass effects in heavy baryons [38].…”

Section: Lf Projection Of Three-body Bs Equationsmentioning

confidence: 99%

“…The starting point of the investigation performed in Ref. [19] is the three-body Bethe-Salpeter equation for the transition-matrix, within the ladder approximation, viz…”

Section: Lf Projection Of Three-body Bs Equationsmentioning

confidence: 99%

“…Aim of the present review is to yield some insights on i) the technique for projecting the 4D BSE onto the three-dimensional (3D) LF hypersurface using the quasi-potential approach and ii) the construction of the effective dynamics of the valence component of the LF wave function for both two- [13,14] and three-particle systems [19]. Moreover, some details on how to obtain an effective electromagnetic current operator i) acting on the valence component of composite two-boson and two-fermion systems, and ii) fulfilling the Ward-Takahashi identity (WTI) [20] and [21], are given.…”

Section: Introductionmentioning

confidence: 99%

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Projecting the Bethe–Salpeter Equation onto the Light-Front and Back: A Short Review

Frederico

Salmè

2010

Few-Body Syst

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The technique of projecting the four-dimensional two-body Bethe-Salpeter equation onto the three-dimensional Light-Front hypersurface, combined with the quasipotential approach, is briefly illustrated, by placing a particular emphasis on the relation between the projection method and the effective dynamics of the valence component of the Light-Front wave function. Some details on how to construct the Fock expansion of both i) the Light-Front effective interaction and ii) the electromagnetic current operator, satisfying the proper Ward-Takahashi identity, will be presented, addressing the relevance of the Fock content in the operators living onto the Light-Front hypersurface. Finally, the generalization of the formalism to the three-particle case will be outlined.

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Section: Lf Projection Of Three-body Bs Equationsmentioning

confidence: 99%

“…The starting point of the investigation performed in Ref. [19] is the three-body Bethe-Salpeter equation for the transition-matrix, within the ladder approximation, viz…”

Section: Lf Projection Of Three-body Bs Equationsmentioning

confidence: 99%