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One major systematic uncertainty of lattice QCD results is due to the continuum extrapolation. For an asymptotically free theory like QCD one finds corrections of the form $a^{n_\mathrm{min}}[2b_0\bar{g}^2(1/a)]^{\hat{\Gamma}_i}$ with…

High Energy Physics - Lattice · Physics 2022-12-20 Nikolai Husung

I review the basic ideas behind lattice QCD calculations that involve charm and bottom quarks. I report on the progress in getting the correct hyperfine splitting in charmonium from lattice QCD. Some of the basic technology behind numerical…

High Energy Physics - Lattice · Physics 2017-08-23 Craig McNeile

The $S$-wave $\Lambda\Lambda$ and $N \Xi$ interactions are studied on the basis of the (2+1)-flavor lattice QCD simulations close to the physical point ($m_\pi \simeq 146{\rm{MeV}}$ and $m_K \simeq 525{\rm{MeV}}$). Lattice QCD potentials in…

In this article, we present new results of high-order coupled cluster method (CCM) calculations, based on a N\'eel model state with spins aligned in the $z$-direction, for both the ground- and excited-state properties of the spin-half {\it…

Strongly Correlated Electrons · Physics 2013-05-30 R. F. Bishop , D. J. J. Farnell , S. E. Krueger , J. B. Parkinson , J. Richter , C. Zeng

Finite temperature charmonium spectral functions in the pseudoscalar and vector channels are studied in lattice QCD with 2+1 flavours of dynamical Wilson quarks, on fine isotropic lattices (with a lattice spacing of 0.057 fm), with a…

A review of the coupled cluster method (CCM) applied to lattice quantum spin systems is presented here. The CCM formalism is explained and an application to the spin-half {\it XXZ} model on the square lattice is presented. Low orders of…

Strongly Correlated Electrons · Physics 2007-05-23 D. J. J. Farnell , R. F. Bishop

Approximate heavy-quark spin and flavor symmetry and chiral symmetry play an important role in our understanding of the nonperturbative regime of strong interactions. In this work, utilizing the unitarized chiral perturbation theory, we…

High Energy Physics - Phenomenology · Physics 2015-08-05 Jun-Xu Lu , Yu Zhou , Hua-Xing Chen , Ju-Jun Xie , Li-Sheng Geng

We study charmonium correlators at finite temperature using quenched lattice QCD simulations. Two analysis procedures are applied to extract information on the spectral function: the maximum entropy method, and the $\chi^2$ fit analyses…

High Energy Physics - Lattice · Physics 2017-08-23 Hideo Matsufuru , Takashi Umeda , Kouji Nomura

Isospin symmetry is explicitly broken in the Standard Model by the mass and electric charge of the up and down quarks. These effects represent a perturbation of hadronic amplitudes at the percent level. Although these contributions are…

High Energy Physics - Lattice · Physics 2015-05-27 Antonin Portelli

Recent developments of high-order CCM have been to extend existing formalism and codes to $s \ge \frac 12$ for both the ground and excited states. In this article, we describe how "generalised" expectation values for a wide range of one-…

Strongly Correlated Electrons · Physics 2009-11-30 D. J. J. Farnell

We analyze the charmonium states by testing a phenomenological nonrelativistic potential and propose a new set of parameters. This new set of parameters are fixed using only the lowest lying S-wave states of charmonia where the spin-orbit…

High Energy Physics - Phenomenology · Physics 2021-07-14 Ulugbek Yakhshiev

Mass spectrum of charmonium is computed in the framework of potential non-relativistic quantum chromodynamics. \textit{O}$(1/m)$ and \textit{O}$(1/m^2)$ relativistic corrections to the Cornell potential and spin-dependent potential have…

High Energy Physics - Phenomenology · Physics 2020-10-29 Raghav Chaturvedi , Ajay Kumar Rai

A striking contradiction between lattice short range static potential (nf=0) and standard perturbative potential, observed by Bali G.S., is investigated in the framework of the background perturbation theory. With the use of the background…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. M. Badalian , D. S. Kuzmenko

J/Psi and eta_c above the QCD critical temperature T_c are studied in anisotropic quenched lattice QCD, considering whether the c\bar c systems above T_c are spatially compact (quasi-)bound states or scattering states. We adopt the standard…

High Energy Physics - Lattice · Physics 2009-11-11 H. Iida , T. Doi , N. Ishii , H. Suganuma , K. Tsumura

Perturbative expansions of QCD observables in powers of $\alpha_s$ are believed to be asymptotic and non-Borel summable due to the existence of singularities in the Borel plane (renormalons). This fact is connected with the factorization of…

High Energy Physics - Lattice · Physics 2007-05-23 Antonio Pineda

We present a study for charmonium radiative transitions: $J/\psi\rightarrow\eta_c\gamma$, $\chi_{c0}\rightarrow J/\Psi\gamma$ and $h_c\rightarrow\eta_c\gamma$ using $N_f=2$ twisted mass lattice QCD gauge configurations. The single-quark…

High Energy Physics - Lattice · Physics 2011-09-14 Ying Chen , De-Chuan Du , Bao-Zhong Guo , Ning Li , Chuan Liu , Hang Liu , Yu-Bin Liu , Jian-Ping Ma , Xiang-Fei Meng , Zhi-Yuan Niu , Jian-Bo Zhang

A generalized screened potential model (GSPM), recently developed to study the bottomonium spectrum, is applied to the calculation of charmonium masses and electromagnetic widths. The presence in the GSPM of more quark-antiquark bound…

High Energy Physics - Phenomenology · Physics 2015-07-16 P. González

Conformal blocks for correlation functions of tensor operators play an increasingly important role for the conformal bootstrap programme. We develop a universal approach to such spinning blocks through the harmonic analysis of certain…

High Energy Physics - Theory · Physics 2017-11-07 Volker Schomerus , Evgeny Sobko , Mikhail Isachenkov

We report the S-wave interactions between the nucleon ($N$) and the triply charmed Omega baryon ($\Omega_{\mathrm{ccc}}$) using (2+1)-flavor lattice QCD with a physical pion mass ($m_\pi \simeq 137.1$ MeV) on a lattice volume $\simeq…

High Energy Physics - Lattice · Physics 2026-03-10 Liang Zhang

We present our updated results of the nucleon-nucleon potential in quenched lattice QCD simulations with the plaquette gauge action and the Wilson quark action on the 32^4(\simeq (4.4 fm)^4) lattice. From the equal-time Bethe-Salpeter (BS)…

High Energy Physics - Lattice · Physics 2009-11-13 N. Ishii , S. Aoki , T. Hatsuda