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The $Q \bar{Q}$ semirelativistic interaction in QCD can be simply expressed in terms of the Wilson loop and its functional derivatives. In this approach we present the $Q \bar{Q}$ potential up to order $1/m^2$ using the expressions for the…

High Energy Physics - Phenomenology · Physics 2009-10-28 N. Brambilla , A. Vairo

We report on our progress in studying exotic, heavy tetraquark states, $qq\prime \bar Q\bar Q\prime$. Using publicly available dynamical $n_f =2+1$ Wilson-Clover gauge configurations, generated by the PACS-CS collaboration, with pion masses…

High Energy Physics - Lattice · Physics 2018-04-18 Anthony Francis , Renwick J. Hudspith , Randy Lewis , Kim Maltman

We investigate the s-wave $\Lambda_c-N$ interaction for spin singlet systems($^1S_0$) using the HAL QCD method. In our lattice QCD simulations, we employ gauge configurations generated by the PACS-CS Collaboration at $a = 0.0907(13)$ fm on…

High Energy Physics - Lattice · Physics 2018-04-13 Takaya Miyamoto , for HAL QCD Collaboration

A comprehensive parameterization of the colour singlet heavy quark free energy above $T_c$ is given, using the lattice data in quenched ($N_f=0$) and unquenched ($N_f=2$ and $N_f=3$) QCD. The corresponding (temperature dependent) potentials…

High Energy Physics - Phenomenology · Physics 2011-01-25 W. M. Alberico , A. Beraudo , A. De Pace , A. Molinari

In this study, we analyze the bound-state energy spectrum of quark-antiquark systems using the semiclassical WKB approximation. We consider the Cornell potential, which combines a linear confinement term with a Coulombic interaction, and…

High Energy Physics - Phenomenology · Physics 2025-08-11 Bhaskar Jyoti Hazarika , Tanmay Dev

Using the QCD sum rule with its operator product expansion reliably estimated from lattice calculations for the pressure and energy density of the quark-gluon plasma, we calculate the strength of the wave function of J/psi at the origin and…

Nuclear Theory · Physics 2014-05-28 Su Houng Lee , Kenji Morita , Taesoo Song , Che Ming Ko

Quantum chromodynamics (QCD) at non-zero isospin chemical potential is studied in a canonical approach by analyzing systems of fixed isospin number density. To construct these systems, we develop a range of new algorithms for performing the…

High Energy Physics - Lattice · Physics 2013-05-30 William Detmold , Kostas Orginos , Zhifeng Shi

We study the pair description of heavy tetraquark systems $|QQ\bar Q \bar Q\rangle$ in the frame of a non-relativistic potential model. By taking the two heavy quark pairs $(Q\bar Q)$ as colored clusters, the four-quark Schr\"odinger…

High Energy Physics - Phenomenology · Physics 2021-03-17 Guojun Huang , Jiaxing Zhao , Pengfei Zhuang

Many mesons with properties incompatible with a $\bar cc$ structure have already been discovered, e.g. the $Z_c$ mesons with isospin 1. We investigate the spectrum of exotic charmonium-like mesons using lattice QCD. The focus is on $\bar cc…

High Energy Physics - Lattice · Physics 2022-12-12 Mitja Sadl , Sara Collins , M. Padmanath , Sasa Prelovsek

We study tetraquark resonances using lattice QCD potentials for a pair of static antiquarks $\bar{b}\bar{b}$ in the presence of two light quarks $ud$. The system is treated in the Born-Oppenheimer approximation and we use the emergent wave…

High Energy Physics - Lattice · Physics 2019-09-04 Martin Pflaumer , Pedro Bicudo , Marco Cardoso , Antje Peters , Marc Wagner

We present a lattice QCD study of charmonium resonances and bound states with $J^{PC}=1^{--}$ and $3^{--}$ near the open-charm threshold, taking into account their strong transitions to $\bar DD$. Vector charmonia are the most abundant in…

High Energy Physics - Lattice · Physics 2019-10-30 S. Piemonte , S. Collins , D. Mohler , M. Padmanath , S. Prelovsek

We study heavy spin effects in $\bar{b}\bar{b}ud$ and $\bar{b}\bar{c}ud$ four-quark systems using the Born-Oppenheimer approximation and existing antistatic-antistatic potentials computed with lattice QCD. We report about a recent refined…

High Energy Physics - Lattice · Physics 2025-01-28 Jakob Hoffmann , Lasse Müller , Marc Wagner

We report on calculations of the charmonium and bottomonium spectrum in lattice QCD. We use ensembles of gauge fields with three flavors of sea quarks, simulated with the asqtad improved action for staggered fermions. For the heavy quarks…

We will calculate the diquark mass together with the quark-diquark potential. We apply an extended HAL QCD potential method to a baryonic system made up from a static quark and a diquark. Numerical calculations are performed by employing…

High Energy Physics - Lattice · Physics 2026-01-16 Kai-Wen Kelvin-Lee , Noriyoshi Ishii

We use lattice QCD to investigate the spectrum of the $\bar{b} \bar{b} u d$ four-quark system with quantum numbers $I(J^P) = 0(1^+)$. We use five different gauge-link ensembles with $2+1$ flavors of domain-wall fermions, including one at…

High Energy Physics - Lattice · Physics 2019-07-16 Luka Leskovec , Stefan Meinel , Martin Pflaumer , Marc Wagner

A physically defined QCD coupling parameter naturally incorporates massive quark flavor thresholds in a gauge invariant, renormalization scale independent and analytical way. In this paper we summarize recent results for the finite-mass…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Melles

Quark--anti-quark (anti-q-q) potentials with finite quark masses are studied from the anti-q-q Nambu-Bethe-Salpeter (NBS) wave functions in quenched lattice QCD. With the use of a method which has been recently developed in the derivation…

High Energy Physics - Lattice · Physics 2012-12-03 Yoichi Ikeda , Hideaki Iida

The potential between infinitely heavy quarks in a color singlet state is of fundamental importance in QCD. While the confining long distance part is inherently non-perturbative, the short-distance (Coulomb-like) regime is accessible…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Melles

Hulth\'en plus Hellmann potentials are adopted as the quark-antiquark interaction potential for studying the mass spectra of heavy mesons. We solved the radial Schr\"odinger equation analytically using the Nikiforov-Uvarov method. The…

High Energy Physics - Phenomenology · Physics 2021-01-06 I. O. Akpan , E. P. Inyang , E. P. Inyang , E. S. William

We propose an open quantum systems approach to the physics of heavy quarkonia in a thermal medium, based on stochastic quantum evolution. This description emphasizes the importance of collisions with the environment and focuses on the…

High Energy Physics - Phenomenology · Physics 2013-05-30 Yukinao Akamatsu , Alexander Rothkopf