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Related papers: Bethe-Salpeter-Motivated Modelling of Pseudo-Golds…

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Describing the lightest pseudoscalar mesons as bound states of quark and antiquark within the framework of an instantaneous Bethe-Salpeter formalism constructed such as to retain (in contrast to Salpeter's equation) as much information on…

High Energy Physics - Phenomenology · Physics 2016-12-28 Wolfgang Lucha , Franz F. Schöberl

Within our description of Goldstone-type pseudoscalar mesons as almost massless bound states of quark and antiquark by a three-dimensional bound-state equation of Bethe-Salpeter origin, taking into account the pointwise behaviour of the…

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

For a two-particle bound-state equation closer to its Bethe-Salpeter origins than Salpeter's equation, with effective-interaction kernel deliberately forged such as to ensure, in the limit of zero mass of the bound-state constituents, the…

High Energy Physics - Phenomenology · Physics 2018-03-02 Wolfgang Lucha , Franz F. Schoberl

Within the Bethe-Salpeter formalism for instantaneous interactions, we describe, along a totally analytic route, the lightest pseudoscalar mesons by quark-antiquark bound states which show at least three indispensable general features,…

High Energy Physics - Phenomenology · Physics 2016-03-18 Wolfgang Lucha , Franz F. Schöberl

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

We solve the Bethe-Salpeter equation in order to determine the spectrum of pseudoscalar and vector meson bound states for light as well as heavy quarks. The fermion propagators are obtained by solving the Schwinger-Dyson equation…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pankaj Jain , Herman J. Munczek

Starting from a phenomenologically successful, numerical solution of the Dyson-Schwinger equation that governs the quark propagator, we reconstruct in detail the interaction kernel that has to enter the instantaneous approximation to the…

High Energy Physics - Phenomenology · Physics 2016-05-06 Wolfgang Lucha , Franz F. Schöberl

The light pseudoscalar mesons play a twofold role: they may or have to be regarded both as low-lying bound states of the fundamental degrees of freedom of quantum chromodynamics as well as the (pseudo-) Goldstone bosons of the spontaneously…

High Energy Physics - Phenomenology · Physics 2015-10-21 Wolfgang Lucha , Franz F. Schöberl

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 2011-03-07 S. M. Dorkin , T. Hilger , L. P. Kaptari , B. Kaempfer

Light pseudoscalar mesons are Janus-type particles: Within quantum chromodynamics, they must be described as bound states of its fundamental degrees of freedom and as the (pseudo-) Goldstone bosons of its spontaneously broken chiral…

High Energy Physics - Phenomenology · Physics 2014-04-15 Wolfgang Lucha

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 assess a description of pseudoscalar mesons as pseudo-Goldstone bosons by its compatibility with some Gell-Mann-Oakes-Renner-type relation.

High Energy Physics - Phenomenology · Physics 2019-06-03 Wolfgang Lucha

We investigate the Bethe--Salpeter description of mesons in the limit where one of the constituing quarks is infinitely heavy. To recover the non--relativistic quark model out of the Bethe--Salpeter formalism it is usual to assume that the…

High Energy Physics - Phenomenology · Physics 2010-11-01 A. Wambach

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

Two-body bound states such as mesons are described by solutions of the Bethe-Salpeter equation. We discuss recent results for the pseudoscalar and vector meson masses and leptonic decay constants, ranging from pions up to c\bar{c} bound…

Nuclear Theory · Physics 2009-11-10 A. Krassnigg , P. Maris

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

Focusing on the continuum meson bound-state problem, a novel method is used to calculate closed-form Bethe-Salpeter kernels that are symmetry consistent with any reasonable gluon-quark vertex, $\Gamma_\nu$, and therewith deliver a…

High Energy Physics - Phenomenology · Physics 2023-03-22 Zhen-Ni Xu , Zhao-Qian Yao , Si-Xue Qin , Zhu-Fang Cui , Craig D. Roberts

The bound states of two particles are studied in frames of non-relativistic quantum field model with current $\times$ current type interaction by analyzing the Bethe-Salpeter amplitudes. The Bethe-Salpeter equations are obtained in closed…

High Energy Physics - Theory · Physics 2007-05-23 A. V. Sinitskaya , E. V. Pavlova

We develop 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 of…

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

The quark Dyson-Schwinger equation and meson Bethe-Salpeter equation are studied in a truncation scheme that extends the rainbow-ladder approximation such that, in the chiral limit, the isovector, pseudoscalar meson remains massless.…

Nuclear Theory · Physics 2010-03-04 A. Bender , C. D. Roberts , L. v. Smekal
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