Pion electromagnetic form factor in the covariant spectator theory

Biernat, Elmar P.; Gross, Franz; Peña, M. T.; Stadler, Alfred

doi:10.1103/physrevd.89.016006

Cited by 49 publications

(109 citation statements)

References 44 publications

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“…[21]. There, the CST interaction kernel in momentum space was taken as a δ-function plus a covariant generalization of the linear confining interaction.…”

Section: Introductionmentioning

confidence: 99%

Chiral symmetry andπ-πscattering in the covariant spectator theory

et al. 2014

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The π-π scattering amplitude calculated with a model for the quark-antiquark interaction in the framework of the Covariant Spectator Theory (CST) is shown to satisfy the Adler zero constraint imposed by chiral symmetry. The CST formalism is established in Minkowski space and our calculations are performed in momentum space. We prove that the axial-vector Ward-Takahashi identity is satisfied by our model. Then we show that, similar to what happens within the Bethe-Salpeter formalism, application of the axial-vector Ward-Takahashi identity to the CST π-π scattering amplitude allows us to sum the intermediate quark-quark interactions to all orders. The Adler self-consistency zero for π-π scattering in the chiral limit emerges as the result for this sum.

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“…[21]. There, the CST interaction kernel in momentum space was taken as a δ-function plus a covariant generalization of the linear confining interaction.…”

Section: Introductionmentioning

confidence: 99%

Chiral symmetry andπ-πscattering in the covariant spectator theory

et al. 2014

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“…However, because the heavier mesons are almost nonrelativistic systems for which the pseudoscalar interaction is strongly suppressed, the difference between models 1 and 2 becomes noticable only for the lighter states. In these cases, on the other hand, it may become necessary to replace the 1CSE by a more complete version of the CST bound-state equations, namely the two-channel (2CSE) or-in the case of the pion-the complete four-channel spectator equation (4CSE) [9].…”

Section: -P3mentioning

confidence: 99%

Quarkonia and heavy-light mesons in a covariant quark model

Leitão

Stadler

Peña

et al. 2016

EPJ Web of Conferences

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Abstract. Preliminary calculations using the Covariant Spectator Theory (CST) employed a scalar linear confining interaction and an additional constant vector potential to compute the mesonic mass spectra. In this work we generalize the confining interaction to include more general structures, in particular a vector and also a pseudoscalar part, as suggested by a recent study [1]. A one-gluon-exchange kernel is also implemented to describe the short-range part of the interaction. We solve the simplest CST approximation to the complete Bethe-Salpeter equation, the one-channel spectator equation, using a numerical technique that eliminates all singularities from the kernel. The parameters of the model are determined through a fit to the experimental pseudoscalar meson spectra, with a good agreement for both quarkonia and heavy-light states.

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“…The interest in solving the Bethe-Salpeter (BS) equation [1] in its natural Minkowski-space formulation has increased in the recent years [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. There are several reasons for dealing with Minkowski solutions.…”

Section: Introductionmentioning

confidence: 99%