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We compute the spectrum of light mesons, composed by up, down, and strange quarks, using a symmetry-preserving approximation that permits the inclusion of fully-dressed quark-gluon vertices in the key dynamical equations. This method is…

High Energy Physics - Phenomenology · Physics 2026-04-09 M. N. Ferreira , A. S. Miramontes , J. M. Morgado , J. Papavassiliou

The mass spectrum of orbitally and radially excited states of B and D mesons is calculated in the framework of the relativistic quark model. The expansion in inverse powers of the heavy quark mass is carried out up to the first order, while…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Ebert , V. O. Galkin , R. N. Faustov

Quarkonium resonances in the complex-mass scale are studied. Relativistic quark potential model is used to describe the quark-antiquark system. The complex-mass formula is obtained from two exact asymptotic solutions for the QCD motivated…

High Energy Physics - Phenomenology · Physics 2015-11-25 M. N. Sergeenko

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

We calculate the $B^-$-, $\overline{B^0}$-, $D^+$-, $D^0$-, $K^-$-, and $\overline{K^0}$-$^{12}$C bound state energies by solving the Klein-Gordon (K;G.) equation in momentum space, and also obtain the corresponding coordinate space radial…

Nuclear Theory · Physics 2025-08-27 G. N. Zeminiani , K. Tsushima

The homogeneous Lippmann-Schwinger integral equation is solved in momentum space by using confining potentials. Since the confining potentials are unbounded at large distances, they lead to a singularity at small momentum. In order to…

High Energy Physics - Phenomenology · Physics 2011-11-10 M. R. Hadizadeh , Lauro Tomio

In this paper, we demonstrated that the multiple turning point problems within the framework of the Wentzel-Kramers-Brillouin (WKB) approximation method can be reduced to two turning point one for a non-symmetric potential function by using…

Nuclear Theory · Physics 2020-07-10 Ekwevugbe Omugbe , Omosede E. Osafile , Michael C. Onyeaju

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

Using the framework of the Covariant Spectator Theory (CST) [1] we are developing a covariant model formulated in Minkowski space to study mesonic structure and spectra. Treating mesons as effective $q\bar{q}$ states, we focused in [2] on…

High Energy Physics - Phenomenology · Physics 2014-11-18 S. Leitão , A. Stadler , M. T. Peña , E. P. Biernat

Masses of the ground state light tetraquarks are dynamically calculated in the framework of the relativistic diquark-antidiquark picture. The internal structure of the diquark is taken into account by calculating the form factor of the…

High Energy Physics - Phenomenology · Physics 2010-04-15 D. Ebert , R. N. Faustov , V. O. Galkin

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

Relativistic light-front bound-state equations for double-heavy mesons, baryons and tetraquarks are constructed in the framework of supersymmetric light front holographic QCD. Although heavy quark masses strongly break conformal symmetry,…

High Energy Physics - Phenomenology · Physics 2018-08-08 Marina Nielsen , Stanley J. Brodsky , Guy F. de Téramond , Hans Günter Dosch , Fernando S. Navarra , Liping Zou

The relativistic two-body potentials of constraint theory for systems composed of two spin-0 or two spin-1/2 particles are calculated, in perturbation theory, by means of the Lippmann-Schwinger type equation that relates them to the…

High Energy Physics - Phenomenology · Physics 2009-10-28 H. Jallouli , H. Sazdjian

The relativistic four-quark equations are found in the framework of the dispersion relation technique. The solutions of these equations using the method based on the extraction of leading singularities of the amplitudes are obtained. The…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. M. Gerasyuta , V. I. Kochkin

On the basis of the Bethe-Salpeter Equation we developed a covariant constituent quark model, with confinement implemented by a linear potential and an instanton induced interaction explaining mass splittings and mixing of pseudoscalar…

High Energy Physics - Phenomenology · Physics 2009-10-30 Bernard Metsch

In the present work, the mass spectra of the bound states of heavy quarks b and c quarks and the Bc meson are studied within the frame work of non relativistic Schrodinger equation. First, we solve Schr\"odinger's equation with a general…

High Energy Physics - Phenomenology · Physics 2020-04-06 Hesham Mansour , Ahmed Gamal

Based on the Dirac approach we have developed the relativistic vision of the WKB method for centrally symmetrical potential with mixed Lorenz structure. We have obtained relativistic wavefunctions of light quark and the new rule of…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. V. Rubish

We discuss the application of a relativistic potential model to the description of the spectrum and radiative transitions in mesons containing at least one heavy quark (b or c). Although the model has a small number of parameters, it is…

High Energy Physics - Phenomenology · Physics 2026-05-06 I. V. Obraztsov , A. E. Bondar , A. I. Milstein

The corrections to the current algebra mass formulae for the pseudoscalar mesons are analyzed by means of a simultaneous exansion in powers of the light quark masses and powers of 1/N. A set of mass formulae is derived, including an…

High Energy Physics - Phenomenology · Physics 2009-10-28 H. Leutwyler

In the context of gauge/gravity dualities, we calculate the scalar and tensor mass spectrum of the boundary theory defined by a special 8-scalar sigma-model in five dimensions, the background solutions of which include the 1-parameter…

High Energy Physics - Theory · Physics 2017-06-21 Daniel Elander , Maurizio Piai