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I consider a model based on a quark--meson interaction Lagrangian. The transition amplitudes are evaluated by computing diagrams in which heavy and light mesons are attached to quark loops. The light chiral symmetry relations and the heavy…

High Energy Physics - Phenomenology · Physics 2014-11-17 Aldo Deandrea

Strong decays of vector ($^3S_1$) mesons to the pair of pseudoscalar ($^1S_0$) mesons are considered in the framework of the microscopic decay mechanism and the relativistic quark model based on the quasipotential approach. The…

High Energy Physics - Phenomenology · Physics 2015-06-23 D. Ebert , R. N. Faustov , V. O. Galkin

The quark-level linear sigma model is employed to compute a variety of electromagnetic and weak observables of light mesons, including pion and kaon form factors and charge radii, charged-pion polarizabilities, semileptonic weak $K_{\ell3}$…

High Energy Physics - Phenomenology · Physics 2008-11-26 Michael D. Scadron , Frieder Kleefeld , George Rupp , Eef van Beveren

The spectra and wave functions of heavy-light mesons are calculated within a relativistic quark model, which is based on a heavy-quark expansion of the instantaneous Bethe-Salpeter equation by applying the Foldy-Wouthuysen transformation.…

High Energy Physics - Phenomenology · Physics 2017-06-07 Jing-Bin Liu , Cai-Dian Lu

A formalism for studying heavy quarks in terms of model Dyson-Schwinger equations is developed. The formalism is the natural extension of a technique which has proved successful in a number of studies of light hadron physics. The dressed…

High Energy Physics - Phenomenology · Physics 2011-07-19 C. J. Burden , D. -S. Liu

A symmetry-preserving treatment of mesons, within a Dyson-Schwinger and Bethe-Salpeter equations approach, demands an interconnection between the kernels of the quark gap equation and meson Bethe-Salpeter equation. Appealing to those…

Nuclear Theory · Physics 2021-10-04 Zanbin Xing , Khépani Raya , Lei Chang

We underline the general features of the constituent quark model and its success in the description of the spectrum and transitions of hadrons made up of light or heavy quarks, briefly compared to first principles of QCD. To show the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Le Yaouanc , L. Oliver , O. Pène , J. -C. Raynal

Recently, we completed a comprehensive investigation of a huge part of the entire meson spectrum by considering both quarkonia and open-flavour mesons by means of a single common framework which unites the homogeneous Bethe-Salpeter…

High Energy Physics - Phenomenology · Physics 2019-06-20 Thomas Hilger , María Gómez-Rocha , Andreas Krassnigg , Wolfgang Lucha

We employ a Dyson-Schwinger equation model to effect a unified and uniformly accurate description of light- and heavy-meson observables, which we characterise by heavy-meson leptonic decays, semileptonic heavy-to-heavy and heavy-to-light…

Nuclear Theory · Physics 2010-03-04 M. A. Ivanov , Yu. L. Kalinovsky , C. D. Roberts

We employ a recently proposed form-invariant algebraic model for the quark propagator and the Bethe-Salpeter amplitude of pseudoscalar mesons to study the internal structure of $\eta$ and $\eta'$ mesons. This model facilitates the…

High Energy Physics - Phenomenology · Physics 2026-02-12 L. Albino , K. Raya , R. J. Hernández-Pinto , B. Almeida-Zamora , J. Segovia , A. Huet , A. Bashir

I review a Constituent-Quark-Meson model (CQM) for heavy meson decays, outlining its characteristics and the calculation techniques developed for it. The strength of this effective model is that it enables to evaluate heavy meson decay…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. D. Polosa

Meson correlation functions are studied in the model with four-fermion interaction Lagrangian. We demonstrate that despite the singular character of system mean energy and corresponding quark condensate found out the meson observables are…

High Energy Physics - Phenomenology · Physics 2009-06-02 S. V. Molodtsov , M. K. Volkov , G. M. Zinovjev

We calculate semileptonic decays of light and heavy baryons in a relativistically covariant constituent quark model. The model is based on the Bethe-Salpeter-equation in instantaneous approximation. It generates satisfactory mass spectra…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sascha Migura , Dirk Merten , Bernard Metsch , Herbert-R. Petry

Dispersion approach based on the constituent quark picture and its applications to weak decays of heavy mesons are reviewed. Meson interaction amplitudes are represented within this approach as relativistic spectral integrals over the mass…

High Energy Physics - Phenomenology · Physics 2012-03-20 Dmitri Melikhov

I describe a model for heavy meson decays based on an effective quark-meson lagrangian. I consider the heavy mesons S with spin and parity J^P=(1+,0+), H with J^P=(1-,0-) and T^mu with J^P=(2+,1+), i.e. S and P wave heavy-light mesons. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Deandrea

A method for the extraction of an effective meson-meson potential from Green functions, which can be obtained from a lattice simulation, is presented. Simulations are carried out for compact QED and QCD in four dimensions using the quenched…

High Energy Physics - Lattice · Physics 2009-10-28 H. R. Fiebig , H. Markum , A. Mihály , K. Rabitsch , W. Sakuler , C. Starkjohann

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

Long-distance effects in exclusive rare semileptonic transitions B -> (K, K*) are analysed within a relativistic quark model. The meson transition form factors, describing the meson amplitudes of the effective weak Hamiltonian, are…

High Energy Physics - Phenomenology · Physics 2009-10-30 D. Melikhov , N. Nikitin , S. Simula

Basic features of nonstrange vector and axial vector mesons are analyzed in the framework of a chiral quark model that includes nonlocal four fermion couplings. Unknown model parameters are determined from some input values of masses and…

High Energy Physics - Phenomenology · Physics 2016-09-07 M. F. Izzo Villafañe , D. Gomez Dumm , N. N. Scoccola

In this work we devise a new method to study quark anti-quark interactions beyond simple ladder-exchange that yield massless pions in the chiral limit. The method is based on the requirement to have a representation of the quark-gluon…

High Energy Physics - Phenomenology · Physics 2015-06-18 Walter Heupel , Tobias Goecke , Christian S. Fischer