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We report on our results from a fully relativistic simulation of the quenched bottomonium spectrum. Using an anisotropic formulation of Lattice QCD, we were able to retain a very fine resolution into the temporal direction for a range of…

High Energy Physics - Lattice · Physics 2007-05-23 X. Liao , T. Manke

We calculate the spectrum and wave functions (WFs) of various states of bottomonium mesons ($b\overline{b}$) using a non-relativistic quark potential model (NRQPM). The calculated WFs are used to compute the radiative widths of various…

High Energy Physics - Phenomenology · Physics 2023-09-28 Ishrat Asghar , Nosheen Akbar

The temperature dependence of bottomonium correlators up to the 3S and 3P excited states are presented in the range $T \simeq 133-250$ MeV. These lattice calculations employ the non-relativistic QCD (NRQCD) approach for bottom quarks on…

High Energy Physics - Lattice · Physics 2025-01-23 Heng-Tong Ding , Wei-Ping Huang , Rasmus Larsen , Stefan Meinel , Swagato Mukherjee , Peter Petreczky

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

The FASTSUM Collaboration has calculated several quantities relevant for QCD studies at non-zero temperature using the lattice technique. We report here our results for the (i) interquark potential in charmonium; (ii) bottomonium spectral…

We present lattice non-relativistic QCD calculations of bottomonium correlation functions at temperatures $T \simeq 150-350$ MeV. The correlation functions were computed using extended bottomonium operators, and on background gauge-field…

High Energy Physics - Lattice · Physics 2020-06-01 Rasmus Larsen , Stefan Meinel , Swagato Mukherjee , Peter Petreczky

The coulomb plus linear (Cornell) potential is used to investigate the mass spectrum of bottomonium. Gaussian wave function is used in position and momentum space to estimate values of potential and kinetic energies, respectively. Based on…

High Energy Physics - Phenomenology · Physics 2022-01-28 Virendrasinh Kher , Raghav Chaturvedi , Nayneshkumar Devlani , A. K. Rai

Recent lattice quantum chromodynamics (lQCD) computations of bottomonium correlation functions with extended sources provide new insights into heavy-quark dynamics at distance scales which are of the order of the inverse temperature. We…

Nuclear Theory · Physics 2024-11-15 Zhanduo Tang , Swagato Mukherjee , Peter Petreczky , Ralf Rapp

The behavior of bottomonium state correlators at non-zero temperature, $140.4 (\beta = 6.664) \le T \le 221 (\beta = 7.280)$ (MeV), where the transition temperature is $154(9)$ (MeV), is studied, using lattice NRQCD on $48^3 \times 12$…

High Energy Physics - Lattice · Physics 2013-10-25 Seyong Kim , Peter Petreczky , Alexander Rothkopf

A recently re-discovered variant of the Backus-Gilbert algorithm for spectral reconstruction enables the controlled determination of smeared spectral densities from lattice field theory correlation functions. A particular advantage of this…

High Energy Physics - Lattice · Physics 2023-01-11 John Bulava

We present the final results of our high statistics study on the properties of bottomonium and charmonium at finite temperature. We focus on the temperature range around the crossover transition $150\leq T\leq 410$MeV, relevant for current…

High Energy Physics - Lattice · Physics 2018-12-05 Seyong Kim , Peter Petreczky , Alexander Rothkopf

We investigate the properties of S-and P-wave bottomonium states in the vicinity of the deconfinement transition temperature. The light degrees of freedom are represented by dynamical lattice QCD configurations of the HotQCD collaboration…

High Energy Physics - Lattice · Physics 2015-07-28 Seyong Kim , Peter Petreczky , Alexander Rothkopf

Recently, realistic lattice QCD calculations with 2+1 flavors of domain wall fermions and the Iwasaki gauge action have been performed by the RBC and UKQCD collaborations. Here, results for the bottomonium spectrum computed on their gauge…

High Energy Physics - Lattice · Physics 2009-05-01 Stefan Meinel

A well-known challenge for the lattice community is calculating the spectral function from the Euclidean correlator. We have approximated the spectral function and derived the mass and thermal width of particles through the time derivatives…

Stimulated by the exciting progress in the observation of new bottomonium states, we study the bottomonium spectrum. To calculate the mass spectrum, we adopt a nonrelativistic screened potential model. The radial Schr\"{o}dinger equation is…

High Energy Physics - Phenomenology · Physics 2017-04-12 Wei-Jun Deng , Hui Liu , Long-Cheng Gui , Xian-Hui Zhong

The bottomonium spectrum is computed in dynamical 2+1 flavor lattice QCD, using NRQCD for the b quarks. The main calculations in this work are based on gauge field ensembles generated by the RBC and UKQCD collaborations with the Iwasaki…

High Energy Physics - Lattice · Physics 2010-12-02 Stefan Meinel

We propose a numerical spectral reconstruction workflow for high-temperature gauge theories that incorporates elements of semi-classical real-time evolution directly into standard lattice QCD simulations via high-temperature dimensional…

High Energy Physics - Lattice · Physics 2025-12-30 P. V. Buividovich , B. Hind

We present the first application of the background field method to Non-Relativistic QCD (NRQCD) on the lattice in order to determine the one-loop radiative corrections to the coefficients of the NRQCD action in a manifestly gauge-covariant…

High Energy Physics - Lattice · Physics 2015-09-21 T. C. Hammant , A. G. Hart , G. M. von Hippel , R. R. Horgan , C. J. Monahan

Studies of quarkonium spectral functions at finite temperature, based on an approach combining QCD sum rules and the maximum entropy method are briefly reviewed. QCD sum rules for heavy quarkonia incorporate finite temperature effects in…

High Energy Physics - Phenomenology · Physics 2015-06-12 Philipp Gubler , Kei Suzuki , Kenji Morita , Makoto Oka

We present the first lattice QCD study of up to $3S$ and $2P$ bottomonia at non-zero temperatures. Correlation functions of bottomonia were computed using novel bottomonium operators and a variational technique, within the lattice…

High Energy Physics - Lattice · Physics 2020-06-01 Rasmus Larsen , Stefan Meinel , Swagato Mukherjee , Peter Petreczky