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

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We compute the magnetic dipole transitions between low lying Heavy Quarkonium states in a model independent way. We use the weak-coupling version of the effective field theory named potential NRQCD with the static potential exactly…

High Energy Physics - Phenomenology · Physics 2014-11-26 Antonio Pineda , J. Segovia

We report progress in the calculation of the thermal interquark potential of bottomonium using the HAL QCD method applied to bottom quarks in the non-relativistic approximation (i.e. NRQCD). We exploit the fast Fourier transform algorithm,…

High Energy Physics - Lattice · Physics 2023-01-10 Thomas Spriggs , Chris Allton , Timothy Burns , Seyong Kim

We reanalyze the perturbative QCD (pQCD) corrections to quarkonium QCD sum rules and extract the heavy quark masses $\overline{m}_{q}(\overline{m}_{q})$ ($q=c,b$). At present, the pQCD corrections to the correlation functions of two…

High Energy Physics - Phenomenology · Physics 2026-05-11 Qing Yu , Hua Zhou , Xing-Gang Wu

Non-perturbative methods of effective field theory such like Lattice QCD have allowed to establish connection between the QCD Lagrangian and quark potential models, a prominent outcome being the Cornell (linear plus Coulomb) potential. In…

Nuclear Theory · Physics 2008-10-30 M. Kirchbach , C. Compean

Using the variational method and supersymmetric quantum mechanic we calculate in a approximate way eigenvalues, eigenfunctions and wave functions at origin of Cornell potential. We compare results with numerical solutions for heavy…

High Energy Physics - Phenomenology · Physics 2014-10-10 Alfredo Vega , Jorge Flores

We present potential non-relativistic quantum chromodynamics (pNRQCD) predictions for bottomonium suppression in sqrt(sNN) = 200 GeV, 2.76 TeV, and 5.02 TeV heavy-ion collisions using an open quantum systems (OQS) description of the reduced…

High Energy Physics - Phenomenology · Physics 2025-12-15 Michael Strickland , Sabin Thapa

Within an effective field theory framework we study heavy-quark--antiquark systems with a typical distance between the heavy quark and the antiquark smaller than $1/\Lambda_{\rm QCD}$. A suitable definition of the potential is given within…

High Energy Physics - Phenomenology · Physics 2015-06-25 N. Brambilla , A. Pineda , J. Soto , A. Vairo

We compute masses of bottomonium and charmonium bound states using a Schr\"odinger equation with a heavy quark-antiquark potential including $1/m$ and $1/m^2$ corrections previously derived in potential Non-Relativistic QCD and computed…

High Energy Physics - Lattice · Physics 2023-02-01 Michael Eichberg , Marc Wagner

The next-to-next-to-next-to-leading order (N^3LO) Hamiltonian of potential nonrelativistic QCD is derived. The complete matching of the Hamiltonian and the contribution from the ultrasoft dynamical gluons relevant for perturbative…

High Energy Physics - Phenomenology · Physics 2015-06-25 B. A. Kniehl , A. A. Penin , V. A. Smirnov , M. Steinhauser

We derive the imaginary part of the potential NRQCD Hamiltonian up to order 1/m^4, when the typical momentum transfer between the heavy quarks is of the order of Lambda_{QCD} or greater, and the binding energy E much smaller than…

High Energy Physics - Phenomenology · Physics 2009-11-07 Nora Brambilla , Dolors Eiras , Antonio Pineda , Joan Soto , Antonio Vairo

The Quark-Meson Coupling (QMC) model establishes a self-consistent relationship between the quark structure dynamics of a nucleon and the relativistic mean fields that arise within the nuclear medium. The model has been successful in…

Combining recent perturbative analyses on the static QCD potential and the quark pole mass, we find that, for the heavy quarkonium states $c\bar{c}$, $b\bar{b}$ and $t\bar{t}$, (1) ultra-soft (US) corrections in the binding energies are…

High Energy Physics - Phenomenology · Physics 2015-11-20 Y. Kiyo , G. Mishima , Y. Sumino

We investigate the influence of a homogeneus and constant strong external magnetic field on the heavy-meson spectrum. Quarkonium states $c\bar{c}$ and $b\bar{b}$ are described within a non-relativistic framework and by means of a suitable…

High Energy Physics - Phenomenology · Physics 2015-09-14 Claudio Bonati , Massimo D'Elia , Andrea Rucci

The effect of an extended Cornell potential on mass spectra of heavy and heavy-light mesons is studied. The Cornell potential is extended to include quadratic potential and inverse quadratic potential. The N-radial Schrodinger equation is…

High Energy Physics - Phenomenology · Physics 2019-08-27 M. Abu-shady , H. M. Fath-Allah

The heavy quark-antiquark potential is accessible in perturbative QCD and in lattice simulations. The perturbative short-distance part of the potential is contructed via a restricted Fourier transform, covering the momentum region where…

High Energy Physics - Phenomenology · Physics 2011-08-30 Alexander Laschka , Norbert Kaiser , Wolfram Weise

We study the thermal behavior of quarkonia and fully-heavy tetraquark states associated to the charmonium, bottomonium and bottom-charmonium mass spectra. The starting point is the Schr\"odinger formalism with a vacuum Cornell-like…

High Energy Physics - Phenomenology · Physics 2025-09-16 Vinícius S. Silva , Cássio Pigozzo , Luciano M. Abreu

We investigate the spectroscopy and decays of the charmonium and upsilon systems in a potential model consisting of a relativistic kinetic energy term, a linear confining term including its scalar and vector relativistic corrections and the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stanley F. Radford , Wayne W. Repko

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…

High Energy Physics - Phenomenology · Physics 2007-05-23 Suraj N. Gupta , James M. Johnson

We compute the heavy quarkonium mass of $l\not= 0$ (angular momentum) states, with otherwise arbitrary quantum numbers, with next-next-to-next-to-leading logarithmic (N$^3$LL) accuracy. This constitutes the first observable in heavy…

High Energy Physics - Phenomenology · Physics 2018-11-14 Clara Peset , Antonio Pineda , Jorge Segovia

We present a largely model independent analysis of the lighter Heavy Quarkonium Hybrids based on the strong coupling regime of Potential Non-Relativistic QCD (pNRQCD). We calculate the spectrum at leading order, including the mixing of…

High Energy Physics - Phenomenology · Physics 2017-07-19 Rubén Oncala , Joan Soto