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Light constituent quark masses and the corresponding dynamical quark masses are determined by data, the Quark-Level Linear $\sigma$ Model, and infrared QCD. This allows to define effective nonstrange and strange current quark masses which…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. D. Scadron , F. Kleefeld , G. Rupp

We study the possibility that the light scalar mesons are (qbar qbar q q) states rather than (qbar q). We perform a lattice QCD calculation of pseudoscalar meson scattering amplitudes, ignoring quark loops and quark annihilation, and find…

High Energy Physics - Lattice · Physics 2008-11-26 Mark Alford , R. L. Jaffe

A method is described for solving relativistic quasi-potential equations in configuration space. The Blankenbecler-Sugar-Logunov-Tavkhelidze and an equal-time equation, both relativistic covariant two-body equations containing the full…

Nuclear Theory · Physics 2007-05-23 P. C. Tiemeijer , J. A. Tjon

I describe some insight obtained from a lattice calculation on the possibility that the light scalar mesons are \qbar^2 q^2 states rather than \qbar q. First I review some general features of \qbar^2 q^2 states in QCD inspired quark models.…

High Energy Physics - Lattice · Physics 2009-11-10 M. Alford , R. L. Jaffe

Regularities in the hadron interaction energies are used to obtain formulas relating the masses of ground-state hadrons, most of which contain heavy quarks. Inputs are the constituent quark model, the Feynman-Hellmann theorem, and the…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. B. Lichtenberg , R. Roncaglia , E. Predazzi

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 spin - spin mass splitting of light, heavy and mixed mesons are described within a good accuracy in the potential model with screened potential. We conclude that the long - distance part of the potential cannot be pure scalar and that a…

High Energy Physics - Phenomenology · Physics 2011-09-13 V. Lengyel , Yu. Fekete , I. Haysak , A. Shpenik

An analytic solution of the N-dimensional radial Schr\"odinger equation with the mixture of vector and scalar potentials via the Laplace transformation method (LTM) is studied. The present potential is extended to include the spin…

High Energy Physics - Phenomenology · Physics 2018-07-16 M. Abu-Shady , E. M. Khokha

We use the Dirac equation to study the mass spectrum of mesons with heavy-light quark combinations. First we study the Dirac equation with spherically symmetry and funnel potential, and apply them on the hydrogen-like atom problem to check…

High Energy Physics - Phenomenology · Physics 2011-11-24 B. Pan

The Bethe--Salpeter equations for the quark-antiquark composite systems with different quark masses, such as $q\bar s$ (with $q=u$,$d$), $q\bar Q$ and $s \bar Q$ (with $Q=c$,$b$), are written in terms of spectral integrals. For the mesons…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. V. Anisovich , V. V. Anisovich , V. N. Markov , M. A. Matveev , A. V. Sarantsev

We study the dynamical generation of scalar mesons in the light quark sector ($q\in\{u,d,s\}$) and calculate the masses and widths for the $f_0(500),a_0(980)$ and $f_0(980)$. To this end we study the mixing of conventional $q\bar{q}$ and…

High Energy Physics - Phenomenology · Physics 2022-03-14 Nico Santowsky , Christian S. Fischer

In this work, the mass of the strange quark is calculated from QCD sum rules for the divergence of the strangeness-changing vector current. The phenomenological scalar spectral function which enters the sum rule is determined from our…

High Energy Physics - Phenomenology · Physics 2008-11-26 Matthias Jamin , Jose Antonio Oller , Antonio Pich

In this article, the mass spectra of mesons with one or two heavy quarks and their diquarks partners are estimated within a non-relativistic framework by solving Schr\"odinger equation with an effective potential inspired by a symmetry…

High Energy Physics - Phenomenology · Physics 2021-08-31 L. X. Gutiérrez-Guerrero , A. Alfaro , A. Raya

A method for computing electromagnetic properties of hadrons in lattice QCD is described and preliminary numerical results are presented. The electromagnetic field is introduced dynamically, using a noncompact formulation. Employing…

High Energy Physics - Lattice · Physics 2009-10-28 A. Duncan , E. Eichten , H. Thacker

The spectrum of baryons with two heavy quarks is predicted, assuming a configuration of a light quark and a heavy diquark. The masses are computed within a semirelativistic quark model, using a potential obtained in the framework of the…

High Energy Physics - Phenomenology · Physics 2009-10-29 Floriana Giannuzzi

Low energy precision experiments provide significant tests of the laws of nature that can reveal physics beyond the Standard Model. A good theoretical understanding of the low energy properties of QCD is required for this purpose. The…

High Energy Physics - Phenomenology · Physics 2014-11-20 H. Leutwyler

The masses, pseudoscalar and vector weak decay constants and electromagnetic form factors of light S-wave mesons are studied in the framework of the relativistic quark model based on the quasipotential approach. We use the same model…

High Energy Physics - Phenomenology · Physics 2009-01-07 D. Ebert , R. N. Faustov , V. O. Galkin

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

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

We present a comprehensive investigation of light meson physics using maximally twisted mass fermions for two mass-degenerate quark flavours. By employing four values of the lattice spacing, spatial lattice extents ranging from 2.0 fm to…