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The mass spectrum of heavy pseudoscalar mesons, described as quark-antiquark bound systems, is considered within the Bethe-Salpeter formalism with momentum dependent masses of the constituents. This dependence is found by solving the…

Nuclear Theory · Physics 2010-12-27 S. M. Dorkin , T. Hilger , B. Kaempfer , L. P. Kaptari

We summarize recent results for the spectrum and properties of light pseudoscalar and scalar hadrons in a functional approach to QCD using Dyson-Schwinger and Bethe-Salpeter equations. We focus in particular on the role of pions as virtual…

High Energy Physics - Phenomenology · Physics 2013-05-17 Walter Heupel , Stanislav Kubrak , Gernot Eichmann , Christian S. Fischer

We present a covariant approach to describe the low--lying scalar, pseudoscalar, vector and axialvector mesons as quark--antiquark bound states.This approach is based on an effective interaction modeling of the non--perturbative structure…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Weigel , R. Alkofer , P. Watson

We use the Bethe-Salpeter equation in rainbow-ladder truncation to calculate the ground state mesons from the chiral limit to bottomonium, with an effective interaction that was previously fitted to the chiral condensate and pion decay…

Nuclear Theory · Physics 2008-11-26 P. Maris

Relativistic light-front bound-state equations for mesons and baryons can be constructed in the chiral limit from the supercharges of a superconformal algebra which connect baryon and meson spectra. Quark masses break the conformal…

High Energy Physics - Phenomenology · Physics 2015-10-14 Hans Gunter Dosch , Guy F. de Teramond , Stanley J. Brodsky

We summarise recent results for the quark loop part of the light-by-light scattering contribution to the muons anomalous magnetic moment. In particular we focus on the impact of a momentum dependent quark and quark-photon vertex. We compare…

High Energy Physics - Phenomenology · Physics 2013-04-17 Richard Williams , Christian S. Fischer , Tobias Goecke

This article on light cone field theory reviews the basic concepts of the Poincare group in light cone quantum mechanics and light cone field theory. It discusses recent progress in light cone representations of the Bethe-Salpeter equation,…

High Energy Physics - Phenomenology · Physics 2009-11-10 Leonard S. Kisslinger

In recent years the study of two particle systems on the lattice has led to excellent results in the meson sector of the QCD spectrum, however baryon resonances mostly remain unexplored. We present a study of pion-nucleon systems as decay…

High Energy Physics - Lattice · Physics 2015-05-25 Valentina Verduci , Christian B. Lang

The spectra and electroweak decay properties of light mesons are analyzed within the framework of the instantaneous Bethe-Salpeter equation. The interaction kernel comprises alternative spin-structures for a parameterization of confinement…

Nuclear Theory · Physics 2011-07-19 C. R. Münz , J. Resag , B. C. Metsch , H. R. Petry

In this article, we investigate the structures of the pseudoscalar mesons ($\pi$, $K$, $D$, $D_s$, $B$ and $B_s$) in the framework of the coupled rainbow Schwinger-Dyson equation and ladder Bethe-Salpeter equation with the confining…

High Energy Physics - Phenomenology · Physics 2016-09-06 Z. G. Wang , Wei-Min Yang , Shao-Long Wan

We investigate the properties of light scalar and pseudoscalar mesons at finite (light) quark chemical potential. To this end we solve a coupled set of (truncated) Dyson-Schwinger equations for the quark and gluon propagators in…

High Energy Physics - Phenomenology · Physics 2021-09-02 Pascal J. Gunkel , Christian S. Fischer , Philipp Isserstedt

We derive the expression for the nonperturbative coupling of a hadron to two external currents from its underlying structure in QCD. Microscopically, the action of each current is resolved to a coupling with dressed quarks. The Lorentz…

High Energy Physics - Phenomenology · Physics 2013-05-30 Gernot Eichmann , Christian S. Fischer

An open question in hadronic phenomenology concerns the ``unquenching" effects of higher Fock space components on the leading Fock space description of hadrons. We address this by making a comparison of the bottomonium spectrum as computed…

High Energy Physics - Phenomenology · Physics 2025-03-14 M. Atif Sultan , Wei Hao , E. S. Swanson , Lei Chang

We describe a symmetry-preserving calculation of the meson spectrum, which combines a description of pion properties with reasonable estimates of the masses of heavier light-quark mesons, including axial-vector states. The kernels used in…

Nuclear Theory · Physics 2015-05-28 Lei Chang , Craig D. Roberts

We solve the Bethe-Salpeter equation in order to calculate the spectrum of pseudoscalar, vector and scalar meson bound states for light as well as heavy quarks, extending our previous calculation of pseudoscalar mesons. The fermion…

High Energy Physics - Phenomenology · Physics 2009-10-22 P. Jain , H. J. Munczek

In this work we study the meson properties in the framework of an effective quark model. We start from the Bethe-Salpeter equation choosing the interaction kernel in nonlocal form with the Gaussian meson vertex function, characterized by a…

High Energy Physics - Phenomenology · Physics 2025-12-11 A. Friesen , Yu. Kalinovsky , A. Khmelev

Using a ladder-rainbow kernel previously established for light quark hadron physics, we explore the extension to masses and electroweak decay constants of ground state pseudoscalar and vector quarkonia and heavy-light mesons in the c- and…

Nuclear Theory · Physics 2015-05-13 T. Nguyen , N. A. Souchlas , P. C. Tandy

Achieving self-consistent simultaneous interpretations of pions and kaons as bound states of quark and antiquark and as the (almost) massless boson states related, according to Goldstone's theorem, to the dynamical (and explicit) breakdown…

High Energy Physics - Phenomenology · Physics 2018-03-22 Wolfgang Lucha , Franz F. Schoberl

We solve the coupled system of Dyson-Schwinger and Bethe-Salpeter equations for the quark propagator and the pion Bethe-Salpeter amplitude on a finite volume. To this end we use a truncation scheme that includes pion cloud effects in the…

High Energy Physics - Phenomenology · Physics 2010-05-28 Jan Luecker , Christian S. Fischer , Richard Williams

In view of the mass spectrum of heavy mesons in vacuum the analytical properties of the solutions of the truncated Dyson-Schwinger equatio for the quark propagator within the rainbow approximation are analysed in some detail. In Euclidean…

High Energy Physics - Phenomenology · Physics 2014-04-02 S. M. Dorkin , L. P. Kaptari , T. Hilger , B. Kampfer