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In this article, the problem of the charged harmonic plus an inverse harmonic oscillator with time-dependent mass and frequency in a time-dependent electromagnetic field is investigated. It is reduced to the problem of the inverse harmonic…

Quantum Physics · Physics 2015-06-26 Cem Yuce

Due to larger mass and earlier production, heavy quark(quarkonium) can be sensitive probes to investigate the fast decaying electromagnetic and vortical fields produced in heavy-ion collisions. The non-relativistic Schroedinger-like…

Nuclear Theory · Physics 2022-02-16 Jiaxing Zhao , Shile Chen , Pengfei Zhuang

We review selected lattice results on the charmonium spectrum and first attempts to search for the existence of exotic states. The hadro-quarkonium model was proposed to interpret some of the exotic states as a quarkonium core inside a…

High Energy Physics - Lattice · Physics 2019-05-01 Francesco Knechtli

Recent lattice QCD results on charmonium spectroscopy are reviewed.

High Energy Physics - Lattice · Physics 2012-09-27 Daniel Mohler

We calculate Euclidean correlation functions through next-to-leading order in the low energy effective theory of gravity. We focus on correlation functions of curvature and volume operators, calculating these functions through one-loop…

High Energy Physics - Theory · Physics 2025-10-15 Jack Laiho , Kenny Ratliff

Physical contribution of the high-energy part of hadronic spectrum is incorporated to describe the short-distance part of the correlator of heavy-quark currents obtained by quenched Monte-Carlo on a $8^3*16$- and $16^3*32$-lattices for…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander Bochkarev

We use the Fourier operator to transform a time dependent mass quantum harmonic oscillator into a frequency dependent one. Then we use Lewis-Ermakov invariants to solve the Schr\"odinger equation by using squeeze operators. Finally we give…

Quantum Physics · Physics 2018-08-15 I. Ramos-Prieto , A. Espinosa-Zúñiga , M. Fernández-Guasti , H. M. Moya-Cessa

Charmonia produced in initial hard parton scatterings during heavy ion collisions move with respect to the medium rather than flow with the medium. Lattice studies suggest that charmonium bound states at the rest are dissociated at…

Nuclear Theory · Physics 2015-06-11 Heng-Tong Ding

The nature of resonances and excited states near decay thresholds is encoded in scattering amplitudes, which can be extracted from single-particle and multiparticle correlators in finite volumes. Lattice calculations have only recently…

High Energy Physics - Lattice · Physics 2018-06-08 G. S. Bali , S. Collins , D. Mohler , M. Padmanath , S. Piemonte , S. Prelovsek , S. Weishaeupl

We show that, by using the quantum orthogonal functions invariant, we are able to solve a coupled of time dependent harmonic oscillators where all the time dependent frequencies are arbitrary. We do so, by transforming the time dependent…

We investigate the quarkonia correlators in QCD with no light quarks within a potential model with different screened potentials. Our results for the temperature dependence of the charmonium and bottomonium correlators are qualitatively…

High Energy Physics - Phenomenology · Physics 2009-01-07 Agnes Mocsy , Peter Petreczky

The potential between charm and anti-charm quarks is calculated non-perturbatively using physical, rather than static quarks at temperatures on both sides of the deconfinement transition $T_{\rm C}$, using a lattice simulation with 2+1…

High Energy Physics - Lattice · Physics 2015-05-26 Chris Allton , Wynne Evans , Pietro Giudice , Jon-Ivar Skullerud

We study spatial correlation functions of charmonium in 2+1 flavor QCD using an improved staggered formulation. Contrary to the temporal correlation functions the spatial correlation functions exhibit a strong temperature dependence above…

High Energy Physics - Lattice · Physics 2015-06-04 F. Karsch , E. Laermann , Swagato Mukherjee , P. Petreczky

The Schroedinger equation for the charmonium and bottomonium states at finite temperature is solved by employing an effective temperature dependent potential given by a linear combination of the color singlet free and internal energies…

High Energy Physics - Phenomenology · Physics 2008-11-26 W. M. Alberico , A. Beraudo , A. De Pace , A. Molinari

We discuss the calculations of quarkonium spectral functions in potential models and their implications for the interpretation of the lattice data on quarkonium correlators. In particular, we find that melting of different quarkonium states…

High Energy Physics - Lattice · Physics 2008-11-26 Agnes Mocsy , Peter Petreczky

We present results for the mass spectrum of $c{\bar c}$ mesons simulated on anisotropic lattices where the temporal spacing $a_t$ is only half of the spatial spacing $a_s$. The lattice QCD action is the Wilson gauge action plus the…

High Energy Physics - Lattice · Physics 2009-10-31 Ping Chen

The status of the Chiral Magnetic Effect (CME) response in full Quantum Chromodynamics (QCD) has been controversial so far, with previous lattice QCD studies indicating either its strong suppression or vanishing in thermal equilibrium…

High Energy Physics - Lattice · Physics 2024-11-14 P. V. Buividovich

In this work, the dynamics of quark-antiquark pair systems is investigated by modelling them as general time-dependent 3D oscillators perturbed by a Coulomb potential. Solving this model enables the prediction of key mesonic properties such…

High Energy Physics - Theory · Physics 2025-10-07 Jeong Ryeol Choi , Salim Medjber , Salah Menouar , Ramazan Sever

Lorentz scalar and mass interactions are studied in more detail in the framework of a reduced Dirac equation for heavy quark-antiquark mesons. A microscopic model for these interactions is proposed and analyzed. The charmonium mass spectrum…

High Energy Physics - Phenomenology · Physics 2023-02-22 M. De Sanctis

We report on an exact calculation of lattice correlation functions on a finite four-dimensional lattice with either Euclidean or Minkowskian signature. The lattice correlation functions are calculated by the method of differential…

High Energy Physics - Theory · Physics 2023-07-12 Federico Gasparotto , Stefan Weinzierl , Xiaofeng Xu