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Exotic states in the charmonium family are systematically treated in the framework of simplest model with an effective coulomb-like interaction of heavy quark and antiquark in the presence of static excitation of quark-gluon modes…

High Energy Physics - Phenomenology · Physics 2008-06-06 V. V. Kiselev

As a sister work of Ref.[1], we incorporate the color-screening effect due to light quark pair creation into the heavy quark-antiquark potential, and investigate the effects of screened potential on the spectrum of bottomonium. We calculate…

High Energy Physics - Phenomenology · Physics 2009-11-30 Bai-Qing Li , Kuang-Ta Chao

In this work, we obtain the Schr\"odinger equation solutions for the Kratzer potential plus screened Coulomb potential model using the series expansion method. The energy eigenvalues is obtained in non-relativistic regime and the…

High Energy Physics - Phenomenology · Physics 2021-01-06 Etido P. Inyang , Ephraim P. Inyang , Joseph E. Ntibi , Eddy S. William

Heavy $c\bar c$ and $b\bar b $ quarkonia are considered as systems confined within a hard-wall potential shaped after a linear combination of a cotangent-- with a square co-secant function. Wave functions and energy spectra are then…

High Energy Physics - Phenomenology · Physics 2019-08-22 Ahmed Al-Jamel

We report new aspects of the recent theoretical progress in heavy quarkonium physics. (1) Contrary to wide beliefs, the gross structure of the bottomonium spectrum is described well by the non-relativistic boundstate theory based on…

High Energy Physics - Phenomenology · Physics 2007-05-23 Y. Sumino

We discuss recent lattice results on in-medium properties of hadrons and focus on thermal properties of heavy quark bound states. We will clarify the relation between heavy quark free energies and potentials used to analyze the melting of…

High Energy Physics - Lattice · Physics 2009-11-10 Frithjof Karsch

The quantum bootstrap method is applied to determine the bound-state spectrum of Quarkonium systems using a non-relativistic potential approximation. The method translates the Schr\"odinger equation into a set of algebraic recursion…

High Energy Physics - Phenomenology · Physics 2026-01-23 Jairo Alexis Lopez , Carlos Sandoval

This thesis can be divided into several parts. The first one consists in a detailed historical review of quarkonium physics, centered on the different production models successively introduced. Then comes a review of the currently available…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. P. Lansberg

We study the charmonium spectrum using a complete one gluon exchange approach based on a phenomenological relativistic $q\bar{q}$ potential model with Dirac spinors in momentum space. We use phenomenological screening factors to include…

High Energy Physics - Phenomenology · Physics 2017-05-31 D. Molina , M. De Sanctis , C. Fernandez-Ramirez

The unquenched quark model for the light quarkonium and the charmonium states is explored in the present work. The quark-pair creation operator in the $^3P_0$ model, which mix the two-quark and four-quark components is modified by…

High Energy Physics - Phenomenology · Physics 2024-06-04 Xiaoyun Chen , Yue Tan

In this paper we report our results on quarkonium spectral functions in the vector channel obtained from quenched lattice QCD simulations at $T\in[0.75, 2.25]~T_c$. The calculations have been performed on very large and fine isotropic…

In this paper we present a perturbation theory for constant quaternionic potentials. The effects of quaternionic perturbations are explicitly treated for bound states of hydrogen atom, infinite potential well and harmonic oscillator.…

Quantum Physics · Physics 2019-03-20 Stefano De Leo , Gisele Ducati , Caio Almeida Alves de Souza

In this paper, we calculate the toponium spectrum in the potential model with the screened effects. Coulombic part is dominant for toponium, and the coefficient of the Coulomb potential is chosen from lattice QCD calculations at an infinite…

High Energy Physics - Phenomenology · Physics 2024-12-25 Sheng-Juan Jiang , Bai-Qing Li , Guang-Zhi Xu , Kui-Yong Liu

Recent results on the QCD analysis of bound states of heavy $\bar{q}q$ quarks are reviewed, paying attention to what can be derived from the theory with a reasonable degree of rigour. We report a calculation of $\bar{b}c$ bound states; a…

High Energy Physics - Phenomenology · Physics 2011-01-27 F. J. Yndurain

Properties of single beauty baryons ($\Sigma_{b},\Lambda_{b}$) are studied based on the quark-diquark structure. The confinement potential is assumed as two body colour coulomb plus power potential with exponent $\nu$. We find a strong…

High Energy Physics - Phenomenology · Physics 2011-02-22 Ajay Majethiya , Kaushal Thakkar , P. C. Vinodkumar

Using methods previously developed by Kelbg and others for creating effective potentials for electron-ion plasmas, we investigate quarkonium potentials above deconfinement. Using results for the internal energy of a static quark-antiquark…

Nuclear Theory · Physics 2009-10-14 Kevin Dusling , Clint Young

We briefly review how nonrelativistic effective field theories give us a definition of the QCD potentials and a coherent field theory derived quantum mechanical scheme to calculate the properties of bound states made by two or more heavy…

High Energy Physics - Phenomenology · Physics 2009-01-08 Nora Brambilla

In this study, a quarkonium potential is adopted as the quark-antiquark interaction potential for predicting the mass spectra of heavy mesons. We solved the radial Schr\"odinger equation analytically using the series expansion method and…

High Energy Physics - Phenomenology · Physics 2023-10-12 E. P. Inyang , E. P. Inyang , I. O. Akpan , E. S. William

We investigate bottomonia splittings by solving a Schrodinger-Pauli-type equation with parametrisations of QCD potentials around those that have been determined previously in lattice simulations. This is done both, in the continuum and on…

High Energy Physics - Lattice · Physics 2010-11-19 Gunnar S. Bali , Peter Boyle

The phenomenological relativistic quark model (RQM) has been employed to obtain the masses of ground state pseudo scalar and vector $c\bar{b}$ states. In the frame work of RQM a study of M1 radiative decays of $c\bar{b}$ has been made. The…

High Energy Physics - Phenomenology · Physics 2017-04-20 Antony Prakash Monteiro , Manjunath Bhat , K. B. Vijaya Kumar