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In this paper we revisited phenomenological potentials. We studied S-wave heavy quarkonium spectra by two potential models. The first one is power potential and the second one is logarithmic potential. We calculated spin averaged masses,…

High Energy Physics - Phenomenology · Physics 2018-11-27 Halil Mutuk

We include two loop, relativistic one loop and second order relativistic tree level corrections, plus leading nonperturbative contributions, to obtain a calculation of the lower states in the heavy quarkonium spectrum correct up to, and…

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

We analyze the end-point region of the photon spectrum in semi-inclusive radiative decays of very heavy quarkonium (m alpha_s^2 >> Lambda_QCD). We discuss the interplay of the scales arising in the Soft-Collinear Effective Theory, m,…

High Energy Physics - Phenomenology · Physics 2009-11-10 Xavier Garcia i Tormo , Joan Soto

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…

High Energy Physics - Phenomenology · Physics 2015-06-03 Antonio Pineda

Effects of heavy sea quarks on the low energy physics are described by an effective theory where the expansion parameter is the inverse quark mass, 1/$M$. At leading order in 1/$M$ (and neglecting light quark masses) the dependence of any…

We compute the energy levels of some of the lower-lying heavy quarkonium states perturbatively up to O(alpha_s^5*m) and O(alpha_s^5*m*log[alpha_s]). Stability of the predictions depends crucially on the unknown 4-loop pole-MSbar mass…

High Energy Physics - Phenomenology · Physics 2015-06-17 Y. Kiyo , Y. Sumino

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

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

The analytical exact iteration method (AEIM) have been used widely to calculate N-dimensional radial Schrodinger equation with medium modified form of Cornell potential and is generalized to the finite value of magnetic field (eB) with…

High Energy Physics - Phenomenology · Physics 2023-11-01 Siddhartha Solanki , Manohar Lal , Vineet Kumar Agotiya

We introduce a method for reducing anisotropic heavy-quark potentials to isotropic potentials by using an effective screening mass that depends on the quantum numbers $l$ and $m$ of a given state. We demonstrate that, using the resulting 1D…

High Energy Physics - Phenomenology · Physics 2023-01-11 Ajaharul Islam , Lihua Dong , Yun Guo , Alexander Rothkopf , Michael Strickland

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

An eikonal expansion is developed in order to provide systematic corrections to the eikonal approximation through order 1/k^2, where k is the wave number. The expansion is applied to wave functions for the Klein-Gordon equation and for the…

Nuclear Theory · Physics 2011-07-19 J. A. Tjon , S. J. Wallace

We study the behavior of the complex potential between a heavy quark and its antiquark, which are in relative motion with respect to a hot and dense medium. The heavy quark-antiquark complex potential is obtained by correcting both the…

High Energy Physics - Phenomenology · Physics 2017-02-22 Lata Thakur , Najmul Haque , Hiranmaya Mishra

High-precision approximate analytic expressions for energies and wave functions are found for arbitrary physical potentials. The Schr\"{o}dinger equation is cast into nonlinear Riccati equation, which is solved analytically in first…

Mathematical Physics · Physics 2009-11-13 E. Z. Liverts , E. G. Drukarev , R. Krivec , V. B. Mandelzweig

Thermodynamics properties of heavy mesons are calculated within the framework of the N-dimensional radial Schrodinger equation. The Cornell potential is extended by including the quadratic potential plus the inverse of quadratic potential.…

High Energy Physics - Phenomenology · Physics 2019-06-25 M. Abu-Shady , T. A. Abdel-Karim , Sh. Y. Ezz-Alarab

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…

High Energy Physics - Phenomenology · Physics 2025-09-16 F. A. Martynenko , A. V. Eskin , A. P. Martynenko

We briefly summarize some results obtained by potential NRQCD in the non perturbative regime: 1) a systematic procedure to obtain the heavy quarkonium potential in the 1/m expansion (with explicit expressions up to O(1/m^2) in terms of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Antonio Pineda

Bound state properties of few single and double-$\Lambda$ hypernuclei is critically examined in the framework of core-$\Lambda$ and core+$\Lambda+\Lambda$ few-body model applying hyperspherical harmonics expansion method (HHEM). The…

Nuclear Theory · Physics 2015-09-24 Md. Abdul Khan

In this study, we solved Schr\"odinger equation with Cornell potential (Coulomb-plus-linear potential) by using neural network approach. Four different types of Cornell potential were used without a physical relevance. Besides that…

Computational Physics · Physics 2019-04-15 Halil Mutuk

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…

High Energy Physics - Phenomenology · Physics 2022-07-18 Zheng-Yuan Fang , Ya-Rong Wang , Cheng-Qun Pang