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Physical properties of the Cornell potential in the complex-mass scheme are investigated. Two exact asymptotic solutions of relativistic wave equation for the coulombic and linear components of the potential are used to derive the resonance…

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

This paper concerns a method of describing hadrons that starts with the canonical front form Hamiltonian of QCD. The method is developed in the relatively simple context of QCD with only heavy quarks. We regulate its canonical Hamiltonian…

High Energy Physics - Phenomenology · Physics 2023-10-03 Kamil Serafin , María Gómez-Rocha , Jai More , S. D. Głazek

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

The value of quarkonium wave function at the origin is an important quantity while studying many physical problems concerning a heavy quarkonium. This is because that it is widely used to evaluate the production and decay amplitudes of the…

High Energy Physics - Phenomenology · Physics 2014-09-12 Qi-Li Liao , Guo-Ya Xie

We use the variational method, in a reformulated Hamiltonian formalism of QCD, to derive the wave equation for a heavy quark-antiquark system using a trial state that contains a component with a virtual light quark pair. We examine the…

High Energy Physics - Theory · Physics 2013-09-11 Alexander Chigodaev , Jurij W. Darewych

We propose some extensions of the quark potential model to hybrids, fit them to the lattice data and use them for the purpose of calculating the masses, root mean square radii and wave functions at the origin of the conventional and hybrid…

High Energy Physics - Phenomenology · Physics 2015-05-28 Nosheen Akbar , Bilal Masud , Saba Noor

In this article, we employed the Quasi-particle debye mass at finite baryonic chemical potential which can be used in the medium modified heavy quark potential to solve the N-dimensional Schroedinger equation. The bound state solution of…

High Energy Physics - Phenomenology · Physics 2023-10-31 Siddhartha Solanki , Manohar Lal , Rishabh Sharma , Vineet Kumar Agotiya

In this paper, we study within the structure of Symplectic Quantum Mechanics a bi-dimensional non-relativistic strong interaction system which represent the bound state of heavy quark-antiquark, where we consider a Cornell potential which…

High Energy Physics - Phenomenology · Physics 2022-01-04 R. R. Luz , Caroline S. R. Costa , G. X. A. Petronilo , A. E. Santana , R. G. G. Amorim , R. A. S. Paiva

Leveraging high-precision lattice QCD data on the equation of state and baryon number susceptibility at vanishing chemical potential, we construct a Bayesian holographic QCD model and systematically analyze the thermodynamic properties of…

High Energy Physics - Phenomenology · Physics 2025-08-19 Liqiang Zhu , Ou-Yang Luo , Xun Chen , Kai Zhou , Hanzhong Zhang , Defu Hou

We compute the imaginary part of the heavy quark contribution to the photon polarization tensor, i.e. the quarkonium spectral function in the vector channel, at next-to-leading order in thermal QCD. Matching our result, which is valid…

High Energy Physics - Phenomenology · Physics 2009-02-09 Y. Burnier , M. Laine , M. Vepsalainen

The N-dimensional radial Schr\"odinger equation has been solved using the analytical exact iteration method (AEIM), in which the Cornell potential is generalized to finite temperature and chemical potential. The energy eigenvalues have been…

High Energy Physics - Phenomenology · Physics 2018-01-23 M. Abu-Shady , T. A. Abdel-Karim , E. M. Khokha

We report some approximate analytic form of meson wave function constructed upon solving Schrodinger equation with linear plus Coulomb type Cornell potential. With this wave function, we study Isgur-Wise function and its derivatives for…

High Energy Physics - Phenomenology · Physics 2016-11-29 Sabyasachi Roy , D K Choudhury

The problem of the harmonic oscillator with a centrally located delta function potential can be exactly solved in one dimension where the eigenfunctions are expressed as superpositions of the Hermite polynomials or as confluent…

Quantum Physics · Physics 2021-08-18 Indrajit Ghose , Parongama Sen

I recall the development of quarkonium quantum mechanics after the discovery of $\Upsilon$. I emphasize the empirical approach to determining the force between quarks from the properties of $c\bar{c}$ and $b\bar{b}$ bound states. I review…

High Energy Physics - Phenomenology · Physics 2009-10-30 Chris Quigg

We formulate a QCD-based effective theory approach to heavy quarkonia-like systems as $\bar{c} c$ and $\bar{b} b$ resonances and $B_c$ states. We apply the method to inclusive decays, working out a few examples in detail.

High Energy Physics - Phenomenology · Physics 2009-10-28 Thomas Mannel , Gerhard A. Schuler

We use variational methods to calculate quasilocal energy quantum corrections. A comparison with the effective potential calculated at quadratic order is made by means of gaussian wave functionals. The method is a particular case of the…

High Energy Physics - Theory · Physics 2007-05-23 Remo Garattini

Recently a lot of progress has been made in deriving the heavy quark potential within a QCD medium. In this article we have considered heavy quarkonium in a hot quark gluon plasma phase. The heavy-quark potential has been modeled properly…

Nuclear Theory · Physics 2018-06-26 P. K. Srivastava , O. S. K. Chaturvedi , Lata Thakur

We employ the variational method to study the properties such as masses, decay constants, oscillation frequency and branching ratios of leptonic decays of heavy flavour mesons with linear cum coulomb Cornell potential. Gaussian function,…

High Energy Physics - Phenomenology · Physics 2019-02-07 Jugal Lahkar , D. K. Choudhury , B. J. Hazarika

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

We model the spectral effect of open flavor meson-meson thresholds in heavy quarkonia. The proposed energy dependent quark-antiquark static potential tries to incorporate in a quark model scheme the results from unquenched lattice…

High Energy Physics - Phenomenology · Physics 2015-07-10 P. Gonzalez