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Related papers: Light mesons in the symmetric-vertex approximation

200 papers

We present new results of a relativistic quark model based on the Bethe-Salpeter equation in its instantaneous approximation. Assuming a linearly rising confinement potential with an appropriate spinorial structure in Dirac space and…

High Energy Physics - Phenomenology · Physics 2011-07-19 Matthias Koll , Ralf Ricken , Dirk Merten , Bernard Metsch , Herbert Petry

We introduce an extension to the ladder truncated Bethe-Salpeter equation for mesons and the rainbow truncated quark Dyson-Schwinger equations which includes quark-loop corrections to the gluon propagator. This truncation scheme obeys the…

High Energy Physics - Phenomenology · Physics 2013-05-29 C. S. Fischer , P. Watson , W. Cassing

Starting from a path integral representation of appropriate 4-point and 2-point gauge invariant Green functions and from the "Modified Area Law" model for the evaluation of the Wilson loop, a q \bar q Bethe-Salpeter like equation and a…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. M. Prosperi

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

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

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

Correlation functions provide information on the properties of mesons in vacuum and of hot nuclear matter. In this Letter, we present a new method to derive a well-defined spectral representation for correlation functions. Combining this…

Nuclear Theory · Physics 2013-07-19 Si-xue Qin

We present results for the spectrum of light and strange mesons on configurations with two flavors of mass-degenerate Chirally Improved sea quarks. The calculations are performed on seven ensembles of lattice size 16^3x32 at three different…

High Energy Physics - Lattice · Physics 2015-06-03 Georg P. Engel , C. B. Lang , Markus Limmer , Daniel Mohler , Andreas Schaefer

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

The effect of quark-gluon vertex dressing on the ground state masses of the u/d-quark pseudoscalar, vector and axialvector mesons is considered with the Dyson-Schwinger equations. This extends the ladder-rainbow Bethe-Salpeter kernel to…

High Energy Physics - Phenomenology · Physics 2015-06-25 P. Watson , W. Cassing , P. C. Tandy

Results for the light meson mass spectrum from a Bethe-Salpeter approach are presented. The results obtained in the standard framework are Poincar\'{e} covariant and compare favourably with lattice results. Using a more sophisticated…

High Energy Physics - Phenomenology · Physics 2009-11-10 Peter Watson

We calculate masses of light and heavy mesons as well as baryons of negative parity containing $u,d,s,c$ and $b$ quarks. It is an extension of our previous work where we had studied the positive parity baryons. We adopt a quark-diquark…

High Energy Physics - Phenomenology · Physics 2021-11-24 L. X. Gutiérrez-Guerrero , G. Paredes-Torres , A. Bashir

The masses and decay constants of the light mesons are studied within a ladder-rainbow truncation of the set of Dyson-Schwinger equations using a model 2-point gluon function. The one phenomenological parameter and two current quark masses…

Nuclear Theory · Physics 2009-10-31 P. Maris

We study the Regge-like spectra of light mesons in a relativized quark model. An analytical mass formula is presented for the light unflavored mesons with the help of auxiliary field method, by which a quasi-linear Regge-Chew-Frautschi plot…

High Energy Physics - Phenomenology · Physics 2017-11-21 Duojie Jia , Cheng-Qun Pang , Atsushi Hosaka

In this paper we investigate weak decays of heavy mesons in the framework of a covariant quark model, which is based on the Bethe-Salpeter equation in instantaneous approximation. Apart from a phenomenological confinement potential, a…

High Energy Physics - Phenomenology · Physics 2011-07-19 Dirk Merten , Ralf Ricken , Matthias Koll , Bernard Metsch , Herbert Petry

We summarise a Dyson-Schwinger-equation-based calculation of an extensive range of light- and heavy-meson observables, characterised by heavy-meson leptonic decays, semileptonic heavy-to-heavy and heavy-to-light transitions, radiative and…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. A. Ivanov , Yu. L. Kalinovsky , C. D. Roberts

We extend the range of application of the relativistic Dyson-Schwinger/Bethe-Salpeter approach from previously discussed mesons with total angular momentum $J \le 3$ to the ones with $J=4,5$. On a technical level, the new element is the…

High Energy Physics - Phenomenology · Physics 2025-11-03 Stephan Hagel , Christian S. Fischer , Markus Q. Huber , Jonathan Y. Yigzaw

In this paper, we present results on strong two-body decay widths of light $q\bar q$ mesons calculated in a covariant quark model. The model is based on the Bethe-Salpeter equation in its instantaneous approximation and has already been…

High Energy Physics - Phenomenology · Physics 2011-07-19 Ralf Ricken , Matthias Koll , Dirk Merten , Bernard C. Metsch

We study the heavy-light mesons in a relativistic model, which is derived from the instantaneous Bethe-Salpeter equation by applying the Foldy-Wouthuysen transformation on the heavy quark. The kernel we choose is based on scalar confining…

High Energy Physics - Phenomenology · Physics 2016-05-10 Jing-Bin Liu , Mao-Zhi Yang

We develop a novel approach for the self-consistent solution of coupled sets of Bethe-Salpeter and Schwinger-Dyson equations in QCD. This framework allows us to maintain the axial Ward-Takahashi identities of the theory within advanced…

High Energy Physics - Phenomenology · Physics 2025-09-30 Angel. S. Miramontes , Jose M. Morgado Chavez , Joannis Papavassiliou , Jan M. Pawlowski