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We systematically investigate the electromagnetic form factors of heavy-light pseudo-scalar and vector mesons within the Dyson-Schwinger/Bethe-Salpeter equations framework for the first time. It is found that the charge radius of vector…

High Energy Physics - Phenomenology · Physics 2025-08-12 Yin-Zhen Xu

An exact form is presented for the axial-vector Bethe-Salpeter equation, which is valid when the quark-gluon vertex is fully dressed. A Ward-Takahashi identity for the Bethe-Salpeter kernel is derived therefrom and solved for a class of…

Nuclear Theory · Physics 2009-09-02 Lei Chang , Craig D. Roberts

We provide a brief review of recent progress in the study of mesons using QCD's Dyson-Schwinger equations. Along the way we touch on aspects of confinement and dynamical chiral symmetry breaking but in the main focus upon: exact results for…

Nuclear Theory · Physics 2011-11-23 Lei Chang , Craig D. Roberts , Peter C. Tandy

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

The compact tetraquark states with fully heavy quark contents $QQ\bar Q\bar Q$ are studied as the bound states of the diquark-antidiquark within the Bethe-Salpeter framework. The (anti)diquark masses and form factors used are the same as we…

High Energy Physics - Phenomenology · Physics 2021-08-04 Qiang Li , Chao-Hsi Chang , Guo-Li Wang , Tianhong Wang

Based on the developed Bethe-Salpeter theory for dealing with unstable state, we investigate unstable meson-meson molecular state in which at least one of the constituents is an unstable meson and provide a reasonable and feasible scheme to…

High Energy Physics - Phenomenology · Physics 2025-07-02 Yuqin Yin , Zonghua Shi , Hao Liu , Xiurong Guo , Xiaozhao Chen , Xiaofu Lü

Within a lattice inspired interaction between quark and antiquark, we obtain a hierarchy of solutions to the Bethe-Salpeter equation (BSE) for vector quarkonia excited states in the constituent quark mass approximation. As a toy model, we…

High Energy Physics - Phenomenology · Physics 2025-03-06 V. Sauli

Masses for vector 1--, axialvector 1+-, 1++, and exotic-vector 1-+ mesons are calculated within a quantum field theoretic framework based on the Dyson-Schwinger equations using a model form of the quark-antiquark interaction that is…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. J. Burden , M. A. Pichowsky

The interactions between the f_0(980) and a_0(980) scalar resonances and the lightest pseudoscalar mesons are studied. We first obtain the interacting kernels, without including any ad hoc free parameter, because the lightest scalar…

High Energy Physics - Phenomenology · Physics 2015-05-20 M. Albaladejo , J. A. Oller

The vast majority of mesons can be understood as quark-antiquark states. Yet, various other possibilities exists: glueballs (bound-state of gluons), hybrids (quark-antiquark plus gluon), and four-quark states (either as diquark-antidiquark…

High Energy Physics - Phenomenology · Physics 2016-04-20 Francesco Giacosa

The Nijmegen Unitarized Meson Model and its application to scalar mesons is briefly revisited. It is shown that all scalar states up to 1.5 GeV can be described as triplet-P-zero quark+antiquark states coupled to the OZI-allowed open and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Eef van Beveren , George Rupp

A multichannel description of the light scalar mesons in the framework of the Resonance-Spectrum Expansion is generalised by including vector-vector and scalar-scalar channels, besides the usual pseudoscalar-pseudoscalar channels.…

High Energy Physics - Phenomenology · Physics 2010-11-15 George Rupp , Susana Coito , Eef van Beveren

We consider a model with a small explicit breaking of a global symmetry, as suggested by gravitational arguments. Our model has one scalar field transforming under a non-anomalous U(1) symmetry, and coupled lo matter and to gauge bosons.…

High Energy Physics - Phenomenology · Physics 2009-11-10 Eduard Masso , Francesc Rota , Gabriel Zsembinszki

The study of two-pseudoscalar and two-photon decays for the scalar meson nonet below 1 GeV is performed within an effective approach in which the scalar resonances are described as (Jaffe's) tetraquark states. The dominant (fall apart…

High Energy Physics - Phenomenology · Physics 2008-11-26 Francesco Giacosa

In this thesis the covariant Bethe-Salpeter equation formalism is used to study some properties of ground-state baryons. This formalism relies on the knowledge of the interaction kernel among quarks and of the full quark propagator. For the…

High Energy Physics - Phenomenology · Physics 2012-06-25 Helios Sanchis-Alepuz

We present an intuitive, light front reduction scheme for the Bethe-Salpeter equation that consists of iterations of the (light front) energy dependent covariant equation followed by an instantaneous approximation. This scheme is equivalent…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. C. Tiburzi , G. A. Miller

We propose a new way of breaking the Goldstone symmetry in composite Higgs models, restoring the global symmetry in the mixings between the elementary and composite fermions by completing the former to full representations of this symmetry.…

High Energy Physics - Phenomenology · Physics 2019-12-04 Simone Blasi , Florian Goertz

We generalise the framework of Dyson-Schwinger and Bethe-Salpeter equations for four-quark states to accommodate the case of unequal quark masses. As a first application, we consider the quantum numbers $I(J^{PC})=0(1^{++})$ of the…

High Energy Physics - Phenomenology · Physics 2019-08-07 Paul C. Wallbott , Gernot Eichmann , Christian S. Fischer

A symmetry-preserving treatment of a vector-vector contact interaction is used to study charmed heavy-light mesons. The contact interaction is a representation of nonperturbative kernels used in Dyson-Schwinger and Bethe-Salpeter equations…

High Energy Physics - Phenomenology · Physics 2017-07-26 Fernando E. Serna , Bruno El-Bennich , Gastão Krein

In a covariant model where constituent quarks and diquarks interact through quark exchange, the Bethe-Salpeter equation in ladder approximation for octet and decuplet baryons is solved. Quark and diquark confinement is thereby effectively…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Hellstern , M. Oettel , R. Alkofer , H. Reinhardt
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