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We apply the light-front reduction of the Bethe-Salpeter equation to matrix elements of the electromagnetic current between bound states. Using a simple (1+1)-dimensional model to calculate form factors, we focus on two cases. In one case,…

High Energy Physics - Phenomenology · Physics 2009-11-07 B. C. Tiburzi , G. A. Miller

We pursue applications of the light-front reduction of current matrix elements in the Bethe-Salpeter formalism. The normalization of the reduced wave function is derived from the covariant framework and related to non-valence probabilities…

High Energy Physics - Phenomenology · Physics 2009-11-07 B. C. Tiburzi , G. A. Miller

A three-dimensional reduction of the two-particle Bethe-Salpeter equation is proposed. The proposed reduction is in the framework of light-front dynamics. It yields auxiliary quantities for the transition matrix and the bound state. The…

Nuclear Theory · Physics 2009-10-31 J. H. O. Sales , T. Frederico , B. V. Carlson , P. U. Sauer

We explore skewed parton distributions for two-body, light-front wave functions. In order to access all kinematical regimes, we adopt a covariant Bethe-Salpeter approach, which makes use of the underlying equation of motion (here the…

High Energy Physics - Phenomenology · Physics 2009-11-07 B. C. Tiburzi , G. A. Miller

We present generalized parton distributions for weakly bound systems on the light cone in order to build intuition about the light-front formalism. Physics at the crossover is reviewed in terms of the light-cone Fock space representation.…

High Energy Physics - Phenomenology · Physics 2017-08-23 B. C. Tiburzi

In this work we report on using light-front dynamics to describe generalized parton distributions, which are correlation functions encountered in virtual Compton scattering at large momentum transfer. This two photon process requires pair…

Nuclear Theory · Physics 2007-05-23 B. C. Tiburzi

The internal structure of the lowest-lying pseudo-scalar mesons with heavy-light quark content is thoroughly studied using an algebraic model that has been successfully applied to similar physical observables of pseudoscalar and vector…

High Energy Physics - Phenomenology · Physics 2024-10-18 B. Almeida-Zamora , J. J. Cobos-Martínez , A. Bashir , K. Raya , J. Rodríguez-Quintero , J. Segovia

This is the first of a series of three papers treating light baryon resonances (up to 3 GeV) within a relativistically covariant quark model based on the three-fermion Bethe-Salpeter equation with instantaneous two- and three-body forces.…

High Energy Physics - Phenomenology · Physics 2016-09-06 Ulrich Loering , Klaus Kretzschmar , Bernard Ch. Metsch , Herbert R. Petry

We show the light-front representation of the field theoretical Bethe-Salpeter equation (BSE) in the ladder approximation using the quasi potential reduction. We discuss the equivalence of the covariant ladder Bethe-Salpeter equation with…

Nuclear Theory · Physics 2007-05-23 Tobias Frederico , J. H. O. Sales , B. V. Carlson , P. U. Sauer

We present a covariant scheme to calculate mesonic transitions in the framework of the Salpeter equation for $q\bar{q}$-states. The full Bethe Salpeter amplitudes are reconstructed from equal time amplitudes which were obtained in a…

Nuclear Theory · Physics 2008-11-26 C. R. Muenz , J. Resag , B. C. Metsch , H. R. Petry

Light front formalism for composite systems is presented. Derivation of equations for bound state and scattering problems are given. Methods of constructing of elastic form factors and scattering amplitudes of composite particles are…

High Energy Physics - Theory · Physics 2008-11-26 V. R. Garsevanishvili , A. A. Khelashvili , Z. R. Menteshashvili , M. S. Nioradze

We present the results of a covariant constituent quark model, based on the Bethe-Salpeter equation, where confinement is implemented by a string like linear potential explaining the Regge trajectories. An instanton induced quark force…

High Energy Physics - Phenomenology · Physics 2011-04-20 B. C. Metsch , H. R. Petry

The technique of projecting the four-dimensional two-body Bethe-Salpeter equation onto the three-dimensional Light-Front hypersurface, combined with the quasi-potential approach, is briefly illustrated, by placing a particular emphasis on…

Nuclear Theory · Physics 2011-04-22 Tobias Frederico , Giovanni Salme`

We present a general framework to calculate the properties of relativistic compound systems from the knowledge of an elementary Hamiltonian. Our framework provides a well-controlled nonperturbative calculational scheme which can be…

High Energy Physics - Theory · Physics 2011-03-07 J. -F. Mathiot , A. V. Smirnov , N. A. Tsirova , V. A. Karmanov

We explore a new method to calculate the valence light-front wave function of a system of two interacting particles, which is based on contour deformations combined with analytic continuation methods to project the Bethe-Salpeter wave…

High Energy Physics - Phenomenology · Physics 2022-02-23 Gernot Eichmann , Eduardo Ferreira , Alfred Stadler

The projection onto the Light-Front of a Minkowski space Faddeev-Bethe-Salpeter equation model truncated at the valence level is applied to study the proton structure with constituent quarks. The dynamics of the model has built-in: (i) a…

High Energy Physics - Phenomenology · Physics 2023-02-22 Emanuel Ydrefors , Tobias Frederico

The wave function of a composite system is defined in relativity on a space-time surface. In the explicitly covariant light-front dynamics, reviewed in the present article, the wave functions are defined on the plane $\omega \cd x=0$, where…

Nuclear Theory · Physics 2011-07-19 J. Carbonell , B. Desplanques , V. A. Karmanov , J. -F. Mathiot

A calculation of hadronic timelike form factors in the Poincar\'e-covariant Bethe-Salpeter formalism necessitates knowing the analytic structure of the non-perturbative quark-photon vertex in the context of the Poincar\'e-covariant…

High Energy Physics - Phenomenology · Physics 2019-10-23 Ángel S. Miramontes , Hèlios Sanchis-Alepuz

In this paper we investigate weak decays of heavy mesons in the framework of a covariant quark model, which is based on the Bethe-Salpeter equation in instantaneous approximation. Apart from a phenomenological confinement potential, a…

High Energy Physics - Phenomenology · Physics 2011-07-19 Dirk Merten , Ralf Ricken , Matthias Koll , Bernard Metsch , Herbert Petry

In these lectures, I survey a number of applications of light-front methods to hadron and nuclear physics phenomenology and dynamics, Light-front Fock-state wavefunctions provide a frame-independent representation of hadrons in terms of…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. J. Brodsky
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