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Related papers: Cornell Model Calibration with NRQCD at N$^3$LO

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Along the years, the Cornell Model has been extraordinarily successful in describing hadronic phenomenology, in particular in physical situations for which an effective theory of the strong interactions such as NRQCD cannot be applied. As a…

High Energy Physics - Phenomenology · Physics 2019-04-26 Vicent Mateu , Pablo G. Ortega , David R. Entem , Francisco Fernandez

The non-perturbative nature of QCD at hadronic scales implied the development of phenomenological approaches such as quark models or, more recently, computer-based calculations using Lattice QCD. However, the unique properties of heavy…

High Energy Physics - Phenomenology · Physics 2017-11-29 Pablo G. Ortega , Vicent Mateu

We use the recently proposed supersymmetric expansion algorithm (SEA) to obtain a complete analytical solution to the Schr\"{o}dinger equation with the Cornell potential. We find that the energy levels $E_{nl}(\lambda)$ depend on $n^{2}$…

High Energy Physics - Phenomenology · Physics 2025-06-03 M. Napsuciale , S. Rodríguez , A. E. Villanueva-Gutiérrez

The charmonium and bottomonium mass spectra are investigated in potential nonrelativistic QCD (pNRQCD) with the heavy quark potential computed by lattice QCD simulations. The potential consists of a static potential and relativistic…

High Energy Physics - Lattice · Physics 2012-12-10 Yoshiaki Koma , Miho Koma

The mass spectra and decay properties of heavy quarkonia are computed in nonrelativistic quark-antiquark Cornell potential model. We have employed the numerical solution of Schr\"odinger equation to obtain their mass spectra using only four…

High Energy Physics - Phenomenology · Physics 2018-08-06 N. R. Soni , B. R. Joshi , R. P. Shah , H. R. Chauhan , J. N. Pandya

We compute derived quantities for various values of the model parameter of the Cornell potential model for the S-wave heavy quarkonia with radial quantum numbers n=1, 2, and 3. Our results can be used to determine leading and…

High Energy Physics - Phenomenology · Physics 2011-08-31 Hee Sok Chung , Jungil Lee , Daekyoung Kang

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…

High Energy Physics - Phenomenology · Physics 2016-10-21 M. Abu-Shady

We present two methods for computing dimensionally-regulated NRQCD heavy-quarkonium matrix elements that are related to the second derivative of the heavy-quarkonium wave function at the origin. The first method makes use of a hard-cutoff…

High Energy Physics - Phenomenology · Physics 2008-11-26 Geoffrey T. Bodwin , Daekyoung Kang , Jungil Lee

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

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

In order to understand the experimental data on heavy quarkonium production in heavy ion collisions at RHIC and LHC it is necessary (though not sufficient) to pinpoint the properties of heavy $Q\bar{Q}$ bound states in the deconfined…

High Energy Physics - Lattice · Physics 2016-11-23 Seyong Kim , Peter Petreczky , Alexander Rothkopf

recently proposed strictly phenomenological static quark-antiquark potential belonging to the generality $V(r)=-Ar^{-\alpha}+\kappa r^{\beta}+V_{0}$ is tested with heavy quarkonia in the context of the shifted large N-expansion method. This…

High Energy Physics - Phenomenology · Physics 2009-11-11 Sameer M. Ikhdair , Ramazan Sever

We present a computation of triply-heavy baryons on a quantum computer, employing the Cornell quark model in line with the earlier quarkonium work of Gallimore and Liao. These baryons are some of the most interesting Standard Model…

We provide a formulation of potential non-relativistic quantum chromodynamics (pNRQCD) suitable for calculating binding energies and matrix elements of generic hadron and multi-hadron states made of heavy quarks in $SU(N_c)$ gauge theory…

High Energy Physics - Phenomenology · Physics 2023-11-06 Benoît Assi , Michael L. Wagman

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

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

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

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

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

We apply the Chiral Quark-Soliton Model used previously to describe baryons with one heavy quark to the case of heavy tetraquarks. We argue, that the model is insenstive to the nature of the heavy object bound by the soliton, i.e. to its…

High Energy Physics - Phenomenology · Physics 2024-03-14 Maciej Kucab , Michal Praszalowicz
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