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The resolution of Dyson-Schwinger equations leads to the freezing of the QCD running coupling (effective charge) in the infrared, which is best understood as a dynamical generation of a gluon mass function, giving rise to a momentum…

High Energy Physics - Phenomenology · Physics 2015-05-30 P. Gonzalez , V. Mathieu , V. Vento

In this Chapter QCD interactions between a quark and an anti-quark are discussed. In the heavy quark limit these potentials can be related to quarkonia and $1/m$ corrections can be systematically determined. Excitations of the ground state…

Nuclear Theory · Physics 2018-09-26 G. Bali , A. M. Green

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

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 quark-antiquark potential is constructed by making use of a new analytic running coupling in QCD. This running coupling arises under ``analytization'' of the renormalization group equation. The rising behavior of the quark-antiquark…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Nesterenko

Using the non-relativisitc reduction of Coulomb gauge QCD we compute spectrum of the low mass hybrid mesons containing a heavy quark-antiquark pair. The gluon degrees of freedom are treated in the mean field approximation calibrated to the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Peng Guo , Adam P. Szczepaniak , Giuseppe Galata , Andrea Vassallo , Elena Santopinto

We analyze the static potential of a quark-antiquark pair at $T\,\geq\,T_c$, where $T_c$ is a temperature of a deconfinement phase transition in QCD. We discuss the possibility that the non-perturbative part of this potential can be studied…

High Energy Physics - Phenomenology · Physics 2015-05-20 I. M. Narodetskiy , Yu. A. Simonov , A. I. Veselov

We systematically compute the effective short-range potentials arising from second order QCD-diagrams related to bound states of quarks, antiquarks, and gluons. Our formalism relies on the assumption that the exchanged gluons are massless,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Vincent Mathieu , Fabien Buisseret

An updated heavy quark-antiquark potential is constructed by matching the short-distance perturbative part to long-distance lattice QCD results at an intermediate r scale. The static potential and the order 1/m potential are both analyzed…

High Energy Physics - Phenomenology · Physics 2011-05-04 Alexander Laschka , Norbert Kaiser , Wolfram Weise

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

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

Using methods previously developed by Kelbg and others for creating effective potentials for electron-ion plasmas, we investigate quarkonium potentials above deconfinement. Using results for the internal energy of a static quark-antiquark…

Nuclear Theory · Physics 2009-10-14 Kevin Dusling , Clint Young

We calculate the spectra of charmonium and bottomium in an approximation scheme which treats hard gluons perturbatively while soft gluons are expanded in a set of localized wave functions. Quark-antiquark and quark-antiquark-gluon sectors…

High Energy Physics - Phenomenology · Physics 2009-02-12 E. A. Bartnik , H. Al-Nadary

Using the quark-antiquark interactions obtained in the framework of the bootstrap method we construct a potential model, investigate the possibility of describing of heavy quarkonia and calculate the bottomonium spectrum. The potential of…

High Energy Physics - Phenomenology · Physics 2008-03-26 M. A. Durnev

A recently developed model for the QCD analytic invariant charge is compared with quenched lattice simulation data on the static quark-antiquark potential. By employing this strong running coupling one is able to obtain the confining…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Nesterenko

The charmonium and bottomonium mass spectra are calculated with the systematic account of all relativistic corrections of order v^2/c^2 and the one-loop radiative corrections. Special attention is paid to the contribution of the retardation…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Ebert , R. N. Faustov , V. O. Galkin

We consider the heavy quark limit of Coulomb gauge QCD, with the truncation of the Yang-Mills sector to include only (dressed) two-point functions. We find that the rainbow-ladder approximation to the gap and Bethe-Salpeter equations is…

High Energy Physics - Phenomenology · Physics 2011-06-15 Carina Popovici , Peter Watson , Hugo Reinhardt

We investigate the interaction between a heavy quark-antiquark pair in color octet configuration in gluon plasma. We calculate nonperturbatively an effective thermal potential for such a pair through the study of the correlation function of…

High Energy Physics - Lattice · Physics 2021-01-27 Dibyendu Bala , Saumen Datta

The interactions of charm and bottom quarks in a Quark-Gluon Plasma (QGP) are evaluated using a thermodynamic 2-body T-matrix. We specifically focus on heavy-quark (HQ) interactions with thermal gluons with an input potential motivated by…

High Energy Physics - Phenomenology · Physics 2015-06-05 Kyle Huggins , Ralf Rapp

Following the procedure and motivations developed by Richardson, Buchmuller and Tye, we derive the potential of static quarks consistent with both the three-loop running of QCD coupling constant under the two-loop perturbative matching of V…

High Energy Physics - Phenomenology · Physics 2011-07-19 V. V. Kiselev , A. E. Kovalsky , A. I. Onishchenko
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