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Within the framework provided by quantum chromodynamics's Schwinger-Dyson equations (SDEs), the pion's electromagnetic form factor is computed using solutions of the Bethe-Salpeter equation (BSE) that have finite spacial momentum, and…

High Energy Physics - Phenomenology · Physics 2024-02-27 Shaoyang Jia , Ian Cloët

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 compute electroweak form factors of the nucleon and photon transition form factors of non-strange baryon resonances up to the third resonance region in a model with instanton-induced interaction. The calculation is based on the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dirk Merten , Ulrich Loering , Klaus Kretzschmar , Bernard Metsch , Herbert-R. Petry

We present a relativistic point-form approach for the calculation of electroweak form factors of few-body bound states. As an example, the transition form factors for the semileptonic weak decay $B\to D^*e\bar \nu_e$ are discussed and it is…

High Energy Physics - Phenomenology · Physics 2012-11-06 María Gómez-Rocha , Wolfgang Schweiger

The goal of this work is to study the electromagnetic scattering problem of time-domain Maxwell's equations in an unbounded structure. An exact transparent boundary condition is developed to reformulate the scattering problem into an…

Analysis of PDEs · Mathematics 2016-04-27 Yixian Gao , Peijun Li

We develop a rather simple, formally covariant quark-diquark model of the nucleon. The nucleon is treated as a bound state of a constituent quark and a diquark interacting via a quark exchange. We include both scalar and axial-vector…

High Energy Physics - Phenomenology · Physics 2016-09-01 Volker Keiner

We use quantum electrodynamics and the Bethe-Salpeter equation to calculate the bound state energies for a two-particle system comprised of a spin-0 and spin-1/2 particle. We generalize our treatment to include the finite size of the…

Atomic Physics · Physics 2015-05-27 David Owen , Roger Barrett

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

We present results from a calculation of the electromagnetic transition form factors between ground-state octet and decuplet baryons as well as the octet-only $\Sigma^0$ to $\Lambda$ transition. We work in the combined framework of…

High Energy Physics - Phenomenology · Physics 2018-03-09 Helios Sanchis-Alepuz , Reinhard Alkofer , Christian S. Fischer

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

The challenge to obtain from the Euclidean Bethe--Salpeter amplitude the amplitude in Minkowski is solved by resorting to un-Wick rotating the Euclidean homogeneous integral equation. The results obtained with this new practical method for…

High Energy Physics - Phenomenology · Physics 2019-10-02 A. Castro , E. Ydrefors , W. de Paula , T. Frederico , J. H. de Alvarenga Nogueira , P. Maris

The quantitative investigation of the scalar Bethe-Salpeter equation in Minkowski space, within the ladder-approximation framework, is extended to include the excited states. This study has been carried out for an interacting system…

High Energy Physics - Phenomenology · Physics 2016-06-22 C. Gutierrez , V. Gigante , T. Frederico , G. Salmè , M. Viviani , Lauro Tomio

The electromagnetic form factor for the $K^0$ is calculated in a covariant formulation of the Salpeter equation for $q\bar q$ - bound states, which has been presented recently for the mass spectrum, decay properties and form factors of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 W. I. Giersche , C. R. Munz

The Bethe-Salpeter equation (BSE) for bound states in scalar theories is reformulated and solved in terms of a generalized spectral representation directly in Minkowski space. This differs from the conventional approach, where the BSE is…

High Energy Physics - Phenomenology · Physics 2015-06-25 K. Kusaka , K. M. Simpson , A. G. Williams

The Bethe-Salpeter Equation for a two-scalar, S-wave bound system, interacting through a massive scalar, is investigated within the ladder approximation. By assuming a Nakanishi integral representation of the Bethe-Salpeter amplitude, one…

High Energy Physics - Phenomenology · Physics 2014-02-10 Giovanni Salme` , Tobias Frederico , Michele Viviani

A new method of solution of the Bethe-Salpeter equation for a pseudoscalar quark-antiquark bound state is proposed. With the help of an integral representation, the results are directly obtained in Minkowski space. Dressing of Green's…

High Energy Physics - Phenomenology · Physics 2014-11-18 V. Sauli

We compute the electromagnetic charged kaon form factor in the time-like region by employing a Poincar\'e covariant formalism of the Bethe-Salpeter equation to study quark-antiquark bound states in conjunction with the Schwinger-Dyson…

High Energy Physics - Phenomenology · Physics 2023-02-01 A. S. Miramontes , Adnan Bashir

We present a recent treatment of the $\pi^0\gamma^\star\gamma$ transition form factor in the coupled Schwinger-Dyson and Bethe-Salpeter approach to stress the desirability of measuring it at CEBAF.

High Energy Physics - Phenomenology · Physics 2007-05-23 Dubravko Klabucar , Dalibor Kekez

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

By application of the 'geometric spectral inversion' technique, which we have recently generalized to accommodate also singular interaction potentials, we construct from spectral data emerging from the solution of the Minkowski-space…

Mathematical Physics · Physics 2015-06-05 Richard L. Hall , Wolfgang Lucha