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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…

高能物理 - 唯象学 · 物理学 2023-10-12 E. P. Inyang , E. P. Inyang , I. O. Akpan , E. S. William

Within the quark model and hyperspherical method, the bound states of four heavy quarks and antiquarks (tetraquarks) are investigated. In hyperradial approximation, the Schroedinger equation is reduced to a one-dimensional equation after…

高能物理 - 唯象学 · 物理学 2025-09-16 F. A. Martynenko , A. V. Eskin , A. P. Martynenko

The variational method and the Hamiltonian formalism of QCD are used to derive relativistic, momentum space integral equations for a quark-antiquark system with an arbitrary number of gluons present. As a first step, the resulting infinite…

高能物理 - 唯象学 · 物理学 2009-10-31 L. Di Leo , J. W. Darewych

We review weakly-bound heavy quarkonium systems using effective field theories of QCD. We concentrate on potential Non-Relativistic QCD, which provides with a well founded connection between QCD and descriptions of the heavy quarkonium…

高能物理 - 唯象学 · 物理学 2015-06-03 Antonio Pineda

The method reducing the solution of the Schroedinger equation for several types of power potentials to the solution of the eigenvalue problem for the infinite system of algebraic equations is developed. The finite truncation of this system…

高能物理 - 唯象学 · 物理学 2014-11-17 R. N. Faustov , V. O. Galkin , A. V. Tatarintsev , A. S. Vshivtsev

A thermodynamic T-matrix approach for elastic 2-body interactions is employed to calculate spectral functions of open and hidden heavy-quark systems in the Quark-Gluon Plasma. This enables the evaluation of quarkonium bound-state properties…

高能物理 - 唯象学 · 物理学 2014-11-21 F. Riek , R. Rapp

Mass spectra of quarkonium systems can be described by different phenomenological potentials. In the present work, the {\color{black}resonance} states of heavy quarkonium like ($c\bar{c}$ and $b\bar{b}$) are considered as the rovibrational…

高能物理 - 唯象学 · 物理学 2022-07-18 Zheng-Yuan Fang , Ya-Rong Wang , Cheng-Qun Pang

The quark potential model for mesons and its extension for hybrid mesons are used to study the effects of radial excitations on the masses, sizes and radial wave functions at the origin for conventional and hybrid charmonium mesons. These…

高能物理 - 唯象学 · 物理学 2017-04-21 M. Atif Sultan , Nosheen Akbar , Bilal Masud , Faisal Akram

The possible importance of threshold effects in heavy quarkonium spectroscopy is discussed. The starting point is the calculation of the spectrum of heavy quarkonium-like states with self-energy/threshold corrections. Two different…

高能物理 - 唯象学 · 物理学 2020-08-26 J. Ferretti

To illustrate the campaign to understand heavy quarkonium systems, I focus on a puzzling new state, $X(3872) \to \pi^+\pi^- J/\psi$. Studying the influence of open-charm channels on charmonium properties leads us to propose a new charmonium…

高能物理 - 唯象学 · 物理学 2007-05-23 Chris Quigg

The N-dimensional radial Schrodinger equation with an extended Cornell potential is solved. The analytical exact iteration method is applied. The energy eigenvalues are calculated in the N-dimensional space. The charmonium meson, the…

高能物理 - 唯象学 · 物理学 2017-01-11 E. M. Khokha , M. Abu-Shady , T. A. Abdel-Karim

Heavy quarkonia, Bc-meson, and CS-meson masses are calculated within the framework of the N-dimensional radial Schrodinger equation. The Cornell potential is extended by including the harmonic oscillator potential. The energy eigenvalues…

高能物理 - 唯象学 · 物理学 2016-10-21 M. Abu-Shady

A selfconsistent calculation of heavy-quark (HQ) and quarkonium properties in the Quark-Gluon Plasma (QGP) is conducted to quantify flavor transport and color screening in the medium. The main tool is a thermodynamic $T$-matrix approach to…

核理论 · 物理学 2011-09-08 Felix Riek , Ralf Rapp

This paper applies the Numerov and phase-integral methods to the stationary Schrodinger equation that studies bound states of charm anti-charm quarks. The former is a numerical method well suited for a matrix form of second-order ordinary…

量子物理 · 物理学 2023-03-29 Giampiero Esposito , Pietro Santorelli

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…

高能物理 - 唯象学 · 物理学 2011-07-19 Suraj N. Gupta , James M. Johnson

We evaluate masses of bottom and charmed baryons using several non-relativistic quark potentials which parameters have been adjusted to the meson spectra. Heavy Quark Symmetry leads to important simplifications of the three body problem,…

核理论 · 物理学 2011-04-11 C. Albertus , J. E. Amaro , E. Hernandez , J. Nieves

The use of Heavy Quark Symmetry to study bottom and charmed baryons leads to important simplifications of the non-relativistic three body problem, which turns out to be easily solved by a simple variational ansatz. Our simple scheme…

核理论 · 物理学 2009-09-29 C. Albertus , J. E. Amaro , E. Hernandez , J. Nieves

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…

高能物理 - 唯象学 · 物理学 2015-11-25 M. N. Sergeenko

By using conformable fractional of the Nikiforov-Uvarov (CF-NU) method, the radial Schrodinger equation is analytically solved. The energy eigenvalues and corresponding functions are obtained, in which the dependent temperature potential is…

高能物理 - 唯象学 · 物理学 2020-01-08 M. Abu-Shady

Many of the $XYZ$ resonances observed by the Belle, Babar, CLEO and BESIII collaborations in the past decade are difficult to interpret as conventional quark-antiquark mesons, motivating the consideration of scenarios such as multi-quark…

高能物理 - 唯象学 · 物理学 2014-05-07 Wei Chen , T. G. Steele , Shi-Lin Zhu
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