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For a relativistic system of two scalar particles, we find the Bethe-Salpeter amplitude in Minkowski space and use it to compute the electromagnetic form factor. The comparison with Euclidean space calculation shows that the Wick rotation…

High Energy Physics - Phenomenology · Physics 2010-04-21 J. Carbonell , V. A. Karmanov , M. Mangin-Brinet

Using the solutions of the Bethe-Salpeter equation in Minkowski space for bound and scattering states found in previous works, we calculate the transition electromagnetic form factor describing the electro-disintegration of a bound system.

High Energy Physics - Phenomenology · Physics 2015-06-17 J. Carbonell , V. A. Karmanov

The pion electromagnetic form factor has been calculated for the first time from the solutions of the Bethe-Salpeter equation, obtained directly in Minkowski space by using the Nakanishi integral representation of the Bethe-Salpeter…

High Energy Physics - Phenomenology · Physics 2021-08-18 Emanuel Ydrefors , Wayne de Paula , Jorge H Alvarenga Nogueira , Tobias Frederico , Giovanni Salmé

We present a new method for solving the two-body Bethe-Salpeter equation in Minkowski space. It is based on the Nakanishi integral representation of the Bethe-Salpeter amplitude and on subsequent projection of the equation on the…

High Energy Physics - Phenomenology · Physics 2015-05-20 J. Carbonell , V. A. Karmanov

The heavy baryon $\Lambda_b $ is regarded as composed of a heavy quark and a scalar diquark which has good spin and isospin quantum numbers. In this picture, we calculate the electromagnetic (EM) form factors of $\Lambda_b$ in the…

High Energy Physics - Phenomenology · Physics 2017-03-08 Liang-Liang Liu , Chao Wang , Ying Liu , Xin-Heng Guo

A new method for solving the Bethe-Salpeter equation is developed. It allows to find the Bethe-Salpeter amplitudes both in Minkowski and in Euclidean spaces and, as a by product, the light-front wave function. The method is valid for any…

Nuclear Theory · Physics 2009-11-11 V. A. Karmanov , J. Carbonell

The pion electromagnetic form factor is calculated with a light-front quark model. The "plus" and "minus" component of the electromagnetic current are used to calculate the electromagnetic form factor in the Breit frame with two models for…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. P. B. C. de Melo

We propose a method to reconstruct the Bethe-Salpeter amplitude in Minkowski space given the Euclidean Bethe-Salpeter amplitude -- or alternatively the Light-Front wave function -- as input. The method is based on the numerical inversion of…

High Energy Physics - Phenomenology · Physics 2017-03-08 J. Carbonell , T. Frederico , V. A. Karmanov

We have calculated the electromagnetic elastic form factor of a two body scalar bound state. The Bethe-Salpeter equation is solved directly in the Minkowski space using the Perturbation Theory Integral Representation. At soft coupling…

High Energy Physics - Phenomenology · Physics 2007-05-23 Vladimir Sauli

The electromagnetic form factors G_E(q^2), G_M(q^2), and G_Q(q^2), charge radii, magnetic and quadrupole moments, and decay widths of the light vector mesons rho^+, K^{*+} and K^{*0} are calculated in a Lorentz-covariant, Dyson-Schwinger…

Nuclear Theory · Physics 2011-07-18 F. T. Hawes , M. A. Pichowsky

The electromagnetic form factors of light and heavy pseudoscalar mesons are calculated within two covariant constituent-quark models, a light-front and a dispersion relation approach. We investigate the details and physical origins of the…

High Energy Physics - Phenomenology · Physics 2011-08-31 B. El-Bennich , J. P. B. C. de Melo , B. Loiseau , J. -P. Dedonder , T. Frederico

Some results obtained by a new method for solving the Bethe-Salpeter equation are presented. The method is valid for any kernel given by irreducible Feynman graphs. The Bethe-Salpeter amplitude, both in Minkowski and in Euclidean spaces,…

High Energy Physics - Theory · Physics 2009-11-11 V. A. Karmanov , J. Carbonell , M. Mangin-Brinet

The electromagnetic (EM) form fators of the pseudoscalar and vector mesons are calculated in the light-front framework. We extract these form factors from the relevant matrix elements directly, instead of choosing the Breit frame. The…

High Energy Physics - Phenomenology · Physics 2014-11-17 Chien-Wen Hwang

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

We use the light front quark model to investigate the form factors in the $e^{+}e^{-} \to B\bar{B}$ collision proceses with $B=\Lambda,~\Sigma$ and $\Xi$. These form factor behaviors are calculated based on the Bethe-Salpeter formalism with…

High Energy Physics - Phenomenology · Physics 2026-05-14 Chong-Chung Lih , Chao-Qiang Geng

We report calculations of space-like electromagnetic form factors and charge radii of pseudoscalar mesons, covering both light and heavy-light flavour sectors within a flavour-dependent Bethe-Salpeter framework.

High Energy Physics - Phenomenology · Physics 2026-04-03 A. S. Miramontes , J. Papavassiliou , J. M. Pawlowski

Electromagnetic and Lorentz-scalar form factors are calculated for a bound system of two spin-less particles exchanging a zero-mass scalar particle. Different approaches are considered including solutions of a Bethe-Salpeter equation, a…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. Desplanques , L. Theussl

Within the Bethe-Salpeter framework, we present a computation of space-like electromagnetic form factors for pseudoscalar mesons, including light and heavy-light systems. Our approach employs a flavour-dependent variation of the standard…

High Energy Physics - Phenomenology · Physics 2025-08-29 A. S. Miramontes , J. Papavassiliou , J. M. Pawlowski

Point-form relativistic quantum mechanics is used to derive an expression for the electromagnetic form factor of a pseudoscalar meson for space-like momentum transfers. The elastic scattering of an electron by a confined quark-antiquark…

Nuclear Theory · Physics 2010-04-23 Elmar P. Biernat , Kajetan Fuchsberger , William H. Klink , Wolfgang Schweiger

The charged and neutral kaon form factors are calculated as a phenomenological application of the QCD Dyson-Schwinger equations. The results are compared with the pion form factor calculated in the same framework and yield…

Nuclear Theory · Physics 2010-03-04 C. J. Burden , C. D. Roberts , M. J. Thomson
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