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An outline is given how to formulate a relativistic unitarized constituent quark model of mesons in momentum space, employing harmonic quark confinement. As a first step, the momentum-space harmonic-oscillator potential is solved in a…

High Energy Physics - Phenomenology · Physics 2008-11-26 George Rupp , Eef van Beveren

The calculations and analysis of a variance have shown, that masses of mesons up to 1000 MeV strongly correlate with a model spectrum of potential wells at mass of harmonic up-quark 105.6 MeV. It is shown, that probability of casual…

High Energy Physics - Phenomenology · Physics 2007-05-23 Oleg A. Teplov

Quark models taking into account the dynamical effects of hadronic decay often produce very different predictions for mass shifts in the hadron spectrum. The consequences for meson spectroscopy can be dramatic and completely obscure the…

High Energy Physics - Phenomenology · Physics 2016-05-16 George Rupp , Susana Coito , Eef van Beveren

Trigonometric Rosen-Morse potential is suggested as the quark-antiquark interaction potential for studying the thermodynamic properties and the masses of heavy and heavy-light mesons. For this purpose, N-radial Schrodinger equation is…

High Energy Physics - Phenomenology · Physics 2020-01-08 M. Abu-Shady , Sh. Y. Ezz-Alarab

We use the covariant spectator theory with an effective quark-antiquark interaction, containing Lorentz scalar, pseudoscalar, and vector contributions, to calculate the masses and vertex functions of, simultaneously, heavy and heavy-light…

High Energy Physics - Phenomenology · Physics 2017-10-25 Sofia Leitão , Alfred Stadler , M. T. Peña , Elmar P. Biernat

We use the vacuum expectation value of a Wegner-Wilson loop representing a fast moving quark-antiquark pair to derive the light cone Hamiltonian for a $q\bar q$ meson. We solve the corresponding Schr\"odinger equation for various trial wave…

High Energy Physics - Phenomenology · Physics 2015-04-28 H. J. Pirner , B. Galow , O. Schlaudt

In this paper a relativistic quantum theory introduced by de Groot and \mbox{Ruijgrok} in 1975, is used as a quark model in momentum space. The complete spectrum, with the exception of the selfconjugate light unflavoured mesons, is…

Nuclear Theory · Physics 2007-05-23 H. Hersbach

We derive covariant baryon wave functions for arbitrary Lorentz boosts. Modeling baryons as quark-diquark systems, we reduce their manifestly covariant Bethe-Salpeter equation to a covariant 3-dimensional form by projecting on the relative…

Nuclear Theory · Physics 2007-05-23 M. Dillig

We derive covariant wave functions for hadrons composed of two constituents for arbitrary Lorentz boosts. Focussing explicitly on baryons as quark-diquark systems, we reduce their manifestly covariant Bethe-Salpeter equation to covariant…

Nuclear Theory · Physics 2007-05-23 M. Dillig

We analyze the correlation function of a meson with one heavy and one light quark in inverse powers of the heavy quark mass $m_Q$ using a succession of Foldy-Wouthuysen-type transformations prior to radiative corrections. We evaluate the…

High Energy Physics - Phenomenology · Physics 2010-11-01 S. Chernyshev , M. A. Nowak , I. Zahed

We extend a previously constructed T-matrix approach to the quark-gluon plasma (QGP) to include the effects of spin-dependent interactions between partons. Following earlier work within the relativistic quark model, the spin-dependent…

High Energy Physics - Phenomenology · Physics 2023-08-10 Zhanduo Tang , Ralf Rapp

A dynamical approach is developed to predict the $\pi N$ scattering amplitudes starting with the constituent quark models. The first step is to apply a variational method to solve the three-quark bound state problem. The resulting wave…

Nuclear Theory · Physics 2009-10-31 T. Yoshimoto , T. Sato , M. Arima , T. -S. H. Lee

Except the vibrational excitations of $K$ and $K^*$ mesons, the main features of spectra of mesons composed of quarks $u$, $d$, and $s$ can be quite well described by a semirelativistic potential model including instanton induced forces.…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. Silvestre-Brac , F. Brau , C. Semay

This is the second of a series of three papers treating light baryon resonances up to 3 GeV within a relativistically covariant quark model based on the three-fermion Bethe-Salpeter equation with instantaneous two- and three-body forces. In…

High Energy Physics - Phenomenology · Physics 2010-04-06 Ulrich Loering , Bernard Ch. Metsch , Herbert R. Petry

We use a light cone harmonic oscillator model to study S wave meson spectra, namely the pseudoscalar and vector mesons. The model Hamiltonian is a mass squared operator consisting of a central potential (a harmonic oscillator potential)…

High Energy Physics - Phenomenology · Physics 2009-11-10 Shan-Gui Zhou , Hans-Christian Pauli

A fully relativistic quark model is constructed and applied to the study of wave-functions as well as the spectrum of heavy-light mesons. The free parameters of the model are a constituent quark mass and (on the lattice) an adjustable…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. A. Pernice

This is the first of a sequence of papers that address the non-perturbative origin of the central, and spin-dependent forces between quarks. Its main thrust is a focus on meson spectroscopy in the center of mass frame. We suggest a "dense…

High Energy Physics - Phenomenology · Physics 2022-08-10 Edward Shuryak , Ismail Zahed

The framework of phenomenological quark-antiquark potential (Coulomb plus linear confinement) model with the Gaussian wave function is used for detailed study of masses of the ground, orbitally and radially excited states of heavy-light…

High Energy Physics - Phenomenology · Physics 2017-10-04 Virendrasinh Kher , Nayneshkumar Devlani , Ajay Kumar Rai

A light-cone QCD-inspired model, with the mass squared operator consisting of a harmonic oscillator potential as confinement and a Dirac-delta interaction, is used to study the S-wave meson spectra. The two parameters of the harmonic…

High Energy Physics - Phenomenology · Physics 2009-11-07 T. Frederico , Hans-Christian Pauli , Shan-Gui Zhou

The confinement mechanism proposed earlier and then successfully applied to meson spectroscopy by the author is extended over baryons. For this aim the wave functions of baryons are built as tensorial products of those corresponding to the…

High Energy Physics - Phenomenology · Physics 2013-12-23 Yu. P. Goncharov