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Related papers: Instantaneous Bethe-Salpeter Look at the Lightest …

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We compute the spectrum of light mesons, composed by up, down, and strange quarks, using a symmetry-preserving approximation that permits the inclusion of fully-dressed quark-gluon vertices in the key dynamical equations. This method is…

High Energy Physics - Phenomenology · Physics 2026-04-09 M. N. Ferreira , A. S. Miramontes , J. M. Morgado , J. Papavassiliou

Light scalar mesons are found to fit rather well a diquark-antidiquark description. The resulting nonet obeys mass formulae which respect, to a good extent, the OZI rule. OZI allowed strong decays are reasonably reproduced by a single…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. Maiani , A. Polosa , F. Piccinini , V. Riquer

In recent years many candidates for states beyond the most simple realization of the quark model were found in various experiments around the world. However, so far no consensus exists on their structure, although there is strong evidence…

High Energy Physics - Phenomenology · Physics 2025-05-12 Eric B. Gregory , Feng-Kun Guo , Christoph Hanhart , Stefan Krieg , Thomas Luu

I investigate the bound state problems of lowest-lying mesons and heavy mesons. Chiral symmetry is essential when one consider lowest-lying mesons. Heavy quark symmetry plays an central role in considering the semi-leptonic form factors of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yuhsuke Yoshida

Consequent application of the instantaneous approximation to both the interaction and all propagators of the bound-state constituents allows us to forge, within the framework of the Bethe-Salpeter formalism for the description of bound…

High Energy Physics - Theory · Physics 2007-05-23 Wolfgang Lucha , F. F. Schoberl

The spinless Salpeter equation supplemented by an instanton induced force is used to describe the spectra of light mesons, including the pseudoscalar ones. The coupling constants of the instanton induced potential, as well as the quark…

High Energy Physics - Phenomenology · Physics 2007-05-23 Fabian Brau , Claude Semay

To solve the spinor-spinor Bethe-Salpeter equation in Euclidean space we propose a novel method related to the use of hyperspherical harmonics. We suggest an appropriate extension to form a new basis of spin-angular harmonics that is…

Nuclear Theory · Physics 2008-12-25 S. M. Dorkin , M. Beyer , S. S. Semikh , L. P. Kaptari

A strongly momentum-dependent dressed-quark mass function is basic to QCD. It is central to the appearance of a constituent-quark mass-scale and an existential prerequisite for Goldstone modes. Dyson-Schwinger equation (DSEs) studies have…

Nuclear Theory · Physics 2010-03-04 A. Hoell , A. Krassnigg , C. D. Roberts , S. V. Wright

The masses of $uudd\bar s $, $uudd\bar d$ and $uuss\bar d$ pentaquarks are evaluated in a framework of both the Effective Hamiltonian approach to QCD and spinless Salpeter using the Jaffe--Wilczek diquark approximation and the string…

High Energy Physics - Phenomenology · Physics 2009-11-11 I. M. Narodetskii , C. Semay , B. Silvestre-Brac , Yu. A. Simonov , M. A. Trusov

To study meson properties, one needs to solve the gap equation for the quark propagator and the Bethe-Salpeter (BS) equation for the meson wavefunction, self-consistently. The gluon propagator, the quark-gluon vertex, and the…

Nuclear Theory · Physics 2016-04-20 Si-xue Qin

The ladder kernel of the Bethe-Salpeter equation is amended by introducing a different flavor dependence of the dressing functions in the heavy-quark sector. Compared with earlier work this allows for the simultaneous calculation of the…

High Energy Physics - Phenomenology · Physics 2020-10-20 Fernando E. Serna , Roberto Correa da Silveira , J. J. Cobos-Martínez , Bruno El-Bennich , Eduardo Rojas

In this work, the $K\bar{K}^*$ interaction is studied in a quasipotential Bethe-Salpeter equation approach combined with the one-boson-exchange model. With the help of the hidden-gauge Lagrangian, the exchanges of pseudoscalar mesons ($\pi$…

High Energy Physics - Phenomenology · Physics 2017-02-01 Pei-Liang Lü , Jun He

The Bethe-Salpeter equation is a non-perturbative, relativistic and covariant description of two-body bound states. We derive the classical Bethe-Salpeter equation for two massive point particles (with or without spin) in a bound…

High Energy Physics - Theory · Physics 2024-01-23 Tim Adamo , Riccardo Gonzo

We look for the existence of stable (by strong interactions) tetraquarks, mesons containing two heavy antiquarks and two light quarks, specifically a $|{\bar b}{\bar b}qq\rangle$ state. This state is viewed as two $|{\bar b}q\rangle $…

High Energy Physics - Phenomenology · Physics 2016-09-01 Myron Bander , A. Subbaraman

Light meson spectra are studied in a Dyson-Schwinger/Bethe-Salpeter approach to QCD. By varying the interaction strength of three sets of models for the quark-antiquark interaction, the transition from the chiral symmetric to the chirally…

High Energy Physics - Phenomenology · Physics 2026-05-05 Reinhard Alkofer , Christian S. Fischer , Fabian Zierler

In a relativistic quark model with linear confinement and an instanton-induced interaction which solves the $\eta$-$\eta'$ puzzle, scalar mesons are found as almost pure SU(3) flavor states. This suggests a new interpretation of the scalar…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Klempt , B. C. Metsch , C. R. Munz , H. R. Petry

The light scalar meson spectrum is studied using the improved ladder QCD with the UA(1) breaking Kobayashi-Maskawa-'t Hooft interaction by solving the Schwinger-Dyson and Bethe-Salpeter equations. The dynamically generated…

High Energy Physics - Phenomenology · Physics 2009-11-10 Toru Umekawa , Kenichi Naito , Makoto Oka , Makoto Takizawa

We study the properties of the light pseudoscalar mesons in a three flavor chiral quark model with nonlocal separable interactions. We concentrate on the evaluation of meson masses and decay constants, considering both the cases of Gaussian…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Scarpettini , D. Gomez Dumm , N. N. Scoccola

We investigate masses and decay constants of light mesons from a coupled system of Dyson--Schwinger and Bethe--Salpeter equations. We explicitly take into account dominant non-Abelian contributions to the dressed quark-gluon vertex stemming…

High Energy Physics - Phenomenology · Physics 2009-11-20 Christian S. Fischer , Richard Williams

The Bethe-Salpeter amplitudes of the bound states formed by two scalar particles with unequal masses are analyzed in the massive scalar particle exchange ladder model. The norms of the amplitudes are calculated numerically, and it is…

High Energy Physics - Phenomenology · Physics 2009-10-28 I. Fukui , N. Setoh