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The black hole physics techniques and results are applied to find the set of the exact solutions of the SU(3)-Yang-Mills equations in Minkowski spacetime in the Lorentz gauge. All the solutions contain only the Coulomb-like or linear in $r$…

High Energy Physics - Phenomenology · Physics 2016-12-21 Yu. P. Goncharov

The relativistic two-body problem is considered for spinless particles subject to an external macroscopic electromagnetic field. When this field is made of the monochromatic superposition of two counter-propagating plane waves (and provided…

High Energy Physics - Theory · Physics 2016-05-27 Philippe Droz-Vincent

Quark masses are of great prominence in high-energy physics. In this paper, we have studied the heavy meson systems via solving the Lippmann-Schwinger equation by using the Martin potential for heavy quark masses. We have also attempted to…

High Energy Physics - Phenomenology · Physics 2015-08-04 N. Tazimi , M. Monemzadeh , M. R. Hadizadeh

This work is devoted to the discussion and characterization of the tensor $2^{-(-)}$ meson spectrum, by making use of the Coulomb gauge Hamiltonian approach to QCD, with the interactions being given by an improved confining potential and a…

High Energy Physics - Phenomenology · Physics 2020-07-14 L. M. Abreu , F. M. da Costa Júnior , A. G. Favero

The mass spectra of the excited heavy baryons consisting of two light (u,d,s) and one heavy (c,b) quarks are calculated in the heavy-quark--light-diquark approximation within the constituent quark model. The light quarks, forming the…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. Ebert , R. N. Faustov , V. O. Galkin

We extend our earlier model of $q\bar q$ mesons using relativistic quasipotential (QP) wave equations to include open-flavor states and running quark-gluon coupling effects. Global fits to meson spectra are achieved with rms deviations from…

Nuclear Theory · Physics 2009-10-28 Alan J. Sommerer , A. Abd El-Hady , John R. Spence , James P. Vary

In this chapter we focus first on the theoretical methods and relevant computational approaches to calculate the electronic structure of atoms, molecules, and clusters containing heavy elements for which relativistic effects become…

Chemical Physics · Physics 2021-10-05 Simone Taioli , Stefano Simonucci

Transition to a nonrelativistic Pauli equation in Riemann space of constant positive curvature for a Dirac particle in presence of the Coulomb field is performed in the system of radial equations, exact solutions are constructed in terms of…

Mathematical Physics · Physics 2011-09-29 E. M. Ovsiyuk

An approximate bound state solution of the Klein-Gordon equation is derive analytically for the 3-dimensional space with a combination framework of linear plus modified Yukawa Potential (LIMYP) using the Nikiforov-Uvarov (N-U) method for…

High Energy Physics - Phenomenology · Physics 2023-07-21 Kaushal R Purohit , Ajay Kumar Rai , Rajendrasinh H Parmar

As we all known that non-relativistic or semi-relativistic constituent quark models can describe a large number of the meson sand baryon properties with surprising accuracy. In this work, we studied Killingbeck potential by using WKB…

High Energy Physics - Phenomenology · Physics 2022-05-03 Lhamo chosto , Ya-rong Wang , Zhi-bin Gao , Cheng-qun Pang , Hao Chen , Yu-Long Kang

Lorentz scalar and mass interactions are studied in more detail in the framework of a reduced Dirac equation for heavy quark-antiquark mesons. A microscopic model for these interactions is proposed and analyzed. The charmonium mass spectrum…

High Energy Physics - Phenomenology · Physics 2023-02-22 M. De Sanctis

We study the bound states of heavy-light quark-antiquark system in the relativistic potential model, where the potential includes the long-distance confinement term, the short-distance Coulomb term and spin-dependent term. The spectrum of…

High Energy Physics - Phenomenology · Physics 2015-06-16 Jing-Bin Liu , Mao-Zhi Yang

We solved the Klein-Gordon equation analytically using the Nikiforov-Uvarov method to obtain the energy eigenvalues and corresponding wavefunction in terms of Laguerre polynomials with the ultra generalized exponential hyperbolic potential.…

High Energy Physics - Phenomenology · Physics 2021-01-19 E. P. Inyang , E. P. Inyang , J. E. Ntibi , E. E. Ibekwe , E. S. William

We construct a relativistic potential quark model of $D$, $D_s$, $B$, and $B_s$ mesons in which the light quark motion is described by the Dirac equation with a scalar-vector interaction and the heavy quark is considered a local source of…

High Energy Physics - Phenomenology · Physics 2015-03-19 V. Yu. Lazur , O. K. Reity , V. V. Rubish

Masses of the ground, orbitally and radially excited states of heavy-light mesons are calculated within the framework of the QCD-motivated relativistic quark model based on the quasipotential approach. Both light (q=u,d,s) and heavy (Q=c,b)…

High Energy Physics - Phenomenology · Physics 2010-05-12 D. Ebert , R. N. Faustov , V. O. Galkin

Two-Body Dirac equations of constraint dynamics provide a covariant framework to investigate the problem of highly relativistic quarks in meson bound states. This formalism eliminates automatically the problems of relative time and energy,…

High Energy Physics - Phenomenology · Physics 2011-07-19 Horace W. Crater , Cheuk-Yin Wong , Peter Van Alstine

We continue the investigation of mesons in terms of the spectral integral equation initiated before [hep-ph/0510410, hep-ph/0511005] for the $b\bar b$ and $c\bar c$ systems: in this paper we consider the light-quark ($u, d,s$) mesons with…

High Energy Physics - Phenomenology · Physics 2011-10-11 V. V. Anisovich , L. G. Dakhno , M. A. Matveev , V. A. Nikonov , A. V. Sarantsev

In order to get a more realistic description of the hadron spectrum we extend a constituent-quark model by explicit mesonic degrees of freedom. The resulting system of constituent (anti)quarks, which are subject to an instantaneous…

High Energy Physics - Phenomenology · Physics 2011-09-02 R. Kleinhappel , W. Schweiger

Smooth transitions from hadronic matter to hot and dense matter of quantum chromodynamics accompany continuous transformations in effective degrees of freedom. The microscopic descriptions should include relativistic quarks interacting…

High Energy Physics - Phenomenology · Physics 2022-08-30 Toru Kojo , Daiki Suenaga

Within a formulation of a Dynamical AdS/QCD model we calculate the spectrum of light flavored mesons. The background fields of the model correspond to an IR deformed Anti de Sitter metric coupled to a dilaton field. Confinement comes as a…

High Energy Physics - Phenomenology · Physics 2015-05-18 W. de Paula , T. Frederico