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The relativistic quark model is presented. The quark-antiquark potential for the Schroedinger-like equation is constructed with the account of retardation effects and one-loop radiative corrections. It consists of the one-gluon exchange…

High Energy Physics - Phenomenology · Physics 2009-11-07 D. Ebert , R. N. Faustov , V. O. Galkin

In the framework of potential models for heavy quarkonium the mass spectrum for the system ($\bar b c$) is considered. Spin-dependent splittings, taking into account a change of a constant for effective Coulomb interaction between the…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. V. Kiselev , A. K. Likhoded , A. V. Tkabladze

We investigate the spectroscopy and decays of the charm-strange quarkonium system in a potential model consisting of a relativistic kinetic energy term, a linear confining term including its scalar and vector relativistic corrections and…

High Energy Physics - Phenomenology · Physics 2009-09-02 Stanley F. Radford , Wayne W. Repko , Michael J. Saelim

In this paper, we presented an approximate analytical treatment of the Coulomb plus logarithmic potential using perturbation theory to investigate the mass spectra of bottomonium and charmonium mesons for the low-order quantum states. The…

High Energy Physics - Phenomenology · Physics 2026-05-18 E. Omugbe , E. P Inyang , K. Adegoke , E. M. Khokha

Two numerical methods are developed to reduce the solution of the radial Schr\"odinger equation for proposed heavy quark-antiquark interactions, into the solution of the eigenvalue problem for the infinite system of tridiagonal matrices.…

High Energy Physics - Phenomenology · Physics 2020-10-19 A. M. Yasser , G. S. Hassan , Samah K. Elshamndy , M. S. Ali

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

We calculate the mass spectrum of the $Qs\bar q \bar q$ $(Q=c, b)$ tetraquark states with $J^P=(0,1,2)^+$ using the AL1 quark potential model, which successfully describes the conventional hadron spectrum. We employ the Gaussian expansion…

High Energy Physics - Phenomenology · Physics 2024-01-17 Yan-Ke Chen , Wei-Lin Wu , Lu Meng , Shi-Lin Zhu

Bound states of heavy $\bar{q}q$ quarks are reviewed within the context of QCD, paying attention to what can be derived from the theory with a reasonable degree of rigour. This is compared with the results of semiclassical arguments. Among…

High Energy Physics - Phenomenology · Physics 2011-01-25 F. J. Yndurain

We have investigated the spectra of light-heavy quarkonia with the use of a quantum-chromodynamic potential model which is similar to that used earlier for the heavy quarkonia. An essential feature of our treatment is the inclusion of the…

High Energy Physics - Phenomenology · Physics 2011-07-19 Suraj N. Gupta , James M. Johnson

In this study, we analyze the bound-state energy spectrum of quark-antiquark systems using the semiclassical WKB approximation. We consider the Cornell potential, which combines a linear confinement term with a Coulombic interaction, and…

High Energy Physics - Phenomenology · Physics 2025-08-11 Bhaskar Jyoti Hazarika , Tanmay Dev

QCD string model formulated in the framework of the Field Correlator Method (FCM) in QCD is employed to calculate the masses of $\Sigma_c$, $\Xi_c$ and recently observed at Tevatron $\Sigma_b$, $\Xi_b$ baryons and their orbital excitations.…

High Energy Physics - Phenomenology · Physics 2008-11-14 I. L. Grach , I. M. Narodetskii , M. A. Trusov , A. I. Veselov

We obtain the exact energy spectra and corresponding wave functions of the radial Schr\"odinger equation (RSE) for any (n,l) state in the presence of a combination of psudoharmonic, Coulomb and linear confining potential terms using an…

Quantum Physics · Physics 2011-10-04 Sameer M. Ikhdair

Considering the fact that some excited states of the heavy quarkonia (charmonium and bottomonium) still missing in experimental observations and potential applications of the relevant wave functions of the bound states, we re-analyze the…

High Energy Physics - Phenomenology · Physics 2011-01-28 Chao-Hsi Chang , Guo-Li Wang

The quark potential model and resonating group method are used to investigate the $\bar{K}N$ bound states and/or resonances. The model potential consists of the t-channel and s-channel one-gluon exchange potentials and the confining…

High Energy Physics - Phenomenology · Physics 2009-11-11 Hai-Jhun Wanng , Jun-Chen Su

We present an analysis of the mass spectrum of heavy quarkonia with non-degenerate quark masses. The heavier (bottom) valence quark is treated in a non-relativistic fashion and the other (charm) is a relativistic Wilson-like quark using the…

High Energy Physics - Lattice · Physics 2009-10-30 C. T. H. Davies , A. J. Lidsey , H. P. Shanahan

Spectrum of the doubly heavy tetraquarks, $bb\bar q\bar q$, is studied in a constituent quark model. Four-body problem is solved in a variational method where the real scaling technique is used to identify resonant states above the…

High Energy Physics - Phenomenology · Physics 2021-12-01 Qi Meng , Masayasu Harada , Emiko Hiyama , Atsushi Hosaka , Makoto Oka

A constituent quark model, which has recently been successfully applied to the study of heavy quarkonium properties such as its spectrum but also a diverse array of observables related with their electromagnetic, strong and weak decays and…

High Energy Physics - Phenomenology · Physics 2020-03-04 Gang Yang , Jialun Ping , Pablo G. Ortega , Jorge Segovia

Mass spectrum of charmonium is computed in the framework of potential non-relativistic quantum chromodynamics. \textit{O}$(1/m)$ and \textit{O}$(1/m^2)$ relativistic corrections to the Cornell potential and spin-dependent potential have…

High Energy Physics - Phenomenology · Physics 2020-10-29 Raghav Chaturvedi , Ajay Kumar Rai

The resonance mass spectra have been studied through a non-relativistic hypercentral Constituent Quark Model (hCQM) using a linear potential. Also, the effects of higher order correction terms (${\cal{O}}(\frac{1}{m})$,…

High Energy Physics - Phenomenology · Physics 2024-05-13 Chandni Menapara , Ajay Kumar Rai

In this work an improved potential model for quarkonium spectra (charmonium, bottomonium) is constructed. Beside the one-gluon exchange and a linear confinement potential, the model includes systematically effects from two-gluon exchange…

High Energy Physics - Phenomenology · Physics 2007-07-10 Johannes Eiglsperger