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We review recent theoretical developments in heavy quarkonium physics from the point of view of Effective Field Theories of QCD. We discuss Non-Relativistic QCD and concentrate on potential Non-Relativistic QCD. Our main goal will be to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nora Brambilla , Antonio Pineda , Joan Soto , Antonio Vairo

Analytic solutions of the Teukolsky equation in Kerr geometries are presented in the form of series of hypergeometric functions and Coulomb wave functions. Relations between these solutions are established. The solutions provide a very…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Shuhei Mano , Hisao Suzuki , Eiichi Takasugi

We report a first demonstration for the application of quantum computing to heavy quarkonium spectroscopy study. Based on a Cornell-potential model for the heavy quark and antiquark system, we show how this Hamiltonian problem can be…

Nuclear Theory · Physics 2023-04-26 Daniel Gallimore , Jinfeng Liao

Recently full O(alpha_s^2, alpha_s*beta, beta^2) corrections to the threshold total cross section for e+e- to ttbar have been calculated, and the reported corrections turned out to be unexpectedly large. We study how to reduce theoretical…

High Energy Physics - Phenomenology · Physics 2016-08-25 T. Nagano , A. Ota , Y. Sumino

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

The semi-relativistic equation is cast into a second-order Schrodinger-like equation with the inclusion of relativistic corrections up to order (v/c)^2. The resulting equation is solved via the shifted-l expansion technique, which has been…

Mathematical Physics · Physics 2009-10-31 T. Barakat

We analyse the possible existence of non-perturbative contributions in heavy $\bar Q Q$ systems ($\bar Q$ and $Q$ need not have the same flavour) which cannot be expressed in terms of local condensates. Starting from QCD, with well defined…

High Energy Physics - Phenomenology · Physics 2016-09-01 A. Pineda , J. Soto

A charged particle (electron or hole) confined in nanorod of strongly prolate ellipsoidal shape is considered. The effective-mass Schr\"odinger equation is solved in prolate spheroidal coordinates and asymptotically exact expressions for…

Mesoscale and Nanoscale Physics · Physics 2013-11-27 T. Kereselidze , T. Tchelidze , T. Nadareishvili

By making use of the finite-temperature real-time static potential that was introduced and computed to leading non-trivial order in Hard Thermal Loop resummed perturbation theory in recent work, and solving numerically a Schr\"odinger-type…

High Energy Physics - Phenomenology · Physics 2009-11-13 M. Laine

We propose a systematic, model-independent treatment of electric dipole transitions of heavy quarkonium. Within an effective field theory, concretely potential non-relativistic QCD, the relativistic corrections of relative order $v^2$ to…

High Energy Physics - Phenomenology · Physics 2012-03-22 Piotr Pietrulewicz

In this work, we study the radiative decay of heavy quarkonium states by using the effective Lagrangian approach. Firstly, we construct the spin-breaking terms in the effective Lagrangian for the $nP\leftrightarrow mS$ transitions and…

High Energy Physics - Phenomenology · Physics 2012-02-23 Zhi-Guo He

We adopt Hulth\'en plus Hellmann potential as the quark-antiquark interaction potential for predicting the mass spectra of heavy mesons. The adopted potential was made to be temperature-dependent by replacing the screening parameter with…

High Energy Physics - Phenomenology · Physics 2022-07-12 E. P. Inyang , J. E. Ntibi , E. A. Ibanga , E. S. William

The quarkonium states in a quark-gluon plasma is examined with the heavy quark potential implied by the holographic principle. Both the vanila AdS-Schwarzschild metric and the one with an infrared cutoff are considered. The dissociation…

High Energy Physics - Phenomenology · Physics 2008-11-26 Defu Hou , Hai-cang Ren

The quark potential model for mesons and its extension for hybrid mesons are used to study the effects of radial excitations on the masses, sizes and radial wave functions at the origin for conventional and hybrid charmonium mesons. These…

High Energy Physics - Phenomenology · Physics 2017-04-21 M. Atif Sultan , Nosheen Akbar , Bilal Masud , Faisal Akram

We explore the in-medium properties of heavy-quarkonium states at finite baryo-chemical potential and finite transverse momentum based on a modern complex-valued potential model. Our starting point is a novel, rigorous derivation of the…

High Energy Physics - Phenomenology · Physics 2020-03-12 David Lafferty , Alexander Rothkopf

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

The decay rates and spectroscopy of the $Q \bar Q$ $(Q \in c, b)$ mesons are computed in non-relativistic phenomenological quark antiquark potential of the type $V(r)=-\frac{\alpha_c}{r}+A r^{\nu}$, (CPP$_{\nu}$) with different choices…

High Energy Physics - Phenomenology · Physics 2009-02-02 Bhavin Patel , P. C. Vinodkumar

Motivated by the recent results in arXiv:1601.05679 about the quark-antiquark potential in $\mathcal N=4$ SYM, we reconsider the problem of computing the asymptotic weak-coupling expansion of the ground state energy of a certain class of 1d…

High Energy Physics - Theory · Physics 2016-05-25 Matteo Beccaria , Giorgio Metafune , Diego Pallara

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

The hyperfine spin splittings in heavy quarkonia are studied using the recently developed renormalization group improved spin-spin potential which is independent of the scale parameter $\mu$. The calculated energy difference between the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yu-Qi Chen , Robert J. Oakes