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Pentaquark states in lattice QCD probably lie close in energy to two particle scattering states. Correctly identifying the resonant state is a challenging, yet tractable, problem given the terascale computing facilities available today. We…

High Energy Physics - Lattice · Physics 2009-11-11 George T. Fleming

A study of the chiral behavior of pseudoscalar masses and decay constants is carried out in quenched lattice QCD with Wilson fermions. Using the modified quenched approximation (MQA) to cure the exceptional configuration problem, accurate…

High Energy Physics - Lattice · Physics 2009-10-31 W. Bardeen , A. Duncan , E. Eichten , H. Thacker

We investigate the mass spectrum of Nucleon and Delta (and its counterparts with strange and charm), and their excited states, in quenched lattice QCD with exact chiral symmetry. For each light baryon, we use 23 masses to determine the…

High Energy Physics - Lattice · Physics 2007-05-23 Ting-Wai Chiu , Tung-Han Hsieh

Developing the calculation techniques to fivefold heavy hadrons, we perform the study of novel fully-heavy $QQQQ\bar{Q}$ pentaquark states by the QCD sum rule approach that is firmly based on the QCD basic theory. Numerically, masses of…

High Energy Physics - Phenomenology · Physics 2021-04-28 Jian-Rong Zhang

We determine $\Lambda_{\bar{\textrm{MS}}}^{(n_f=2)}$ by fitting perturbative expressions for the quark-antiquark static potential to lattice results for QCD with $n_f=2$ dynamical quark flavors. To this end we use the perturbative static…

High Energy Physics - Phenomenology · Physics 2014-10-01 Felix Karbstein , Antje Peters , Marc Wagner

Adding chemical potential $\mu$ linearly as $\mu N$ to the lattice QCD action, where $N$ is a conserved quark/baryon number, leads to a quadratic divergence as $a^{-2}$. We argue that it is inherited from the continuum theory and can be…

High Energy Physics - Lattice · Physics 2014-11-21 Rajiv V. Gavai , Sayantan Sharma

We perform the first studies of various inter-quark potentials in SU(3)$_{\rm c}$ lattice QCD. From the accurate lattice calculation for more than 300 different patterns of three-quark (3Q) systems, we find that the static 3Q potential…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Suganuma , A. Yamamoto , N. Sakumichi , T. T. Takahashi , H. Iida , F. Okiharu

Simulations of quenched $QCD$ at relatively small but {\it nonzero} chemical potential $\mu$ on $32 \times 16^3$ lattices indicate that the nucleon screening mass decreases linearly as $\mu$ increases predicting a critical chemical…

High Energy Physics - Lattice · Physics 2009-10-22 J. B. Kogut , M-P Lombardo , D. K. Sinclair

We discuss the quenched limit of lattice QCD at non-zero baryon number density. We find evidence for a mixed phase that becomes broader with increasing baryon number. Although the action is explicitly Z(3) symmetric the Polyakov loop…

High Energy Physics - Lattice · Physics 2007-05-23 O. Kaczmarek , with J. Engels , F. Karsch , E. Laermann

In this paper we study the interactions among a static quark-antiquark pair in the presence of dense two-color quark matter with lattice simulation. To this end we compute Polyakov line correlation functions and determine the renormalized…

High Energy Physics - Lattice · Physics 2019-05-30 N. Yu. Astrakhantsev , V. G. Bornyakov , V. V. Braguta , E. -M. Ilgenfritz , A. Yu. Kotov , A. A. Nikolaev , A. Rothkopf

We present results on the static three- and four-quark potentials in SU(3) and SU(4) respectively within quenched lattice QCD. We use an analytic multi-hit procedure for the time links and a variational approach to determine the ground…

High Energy Physics - Lattice · Physics 2008-11-26 C. Alexandrou , Ph. de Forcrand , A. Tsapalis

The newly observed $\Theta^+$ resonance is believed to be a pentaquark with the constituent quarks $uudd\bar s$. There are a few options for the constituent quark structure. Some advocate diquark-diquark-antiquark $(ud)$-$(ud)$-$\bar s$…

High Energy Physics - Phenomenology · Physics 2011-01-27 Kingman Cheung

Temporal quark correlation functions are analyzed in quenched lattice QCD for two values of temperature above the critical temperature (Tc) for deconfinement, T=1.5Tc and 3Tc. A two-pole ansatz for the quark spectral function is used to…

High Energy Physics - Lattice · Physics 2013-05-30 Olaf Kaczmarek , Frithjof Karsch , Masakiyo Kitazawa , Wolfgang Soeldner

The pentaquark width is calculated in QCD sum rules. The higher dimension operators contribution is accounted. It is shown, that $\Gamma_{\Theta}$ should be very small, less than $1Mev$.

High Energy Physics - Phenomenology · Physics 2008-11-26 A. G. Oganesian

The mass and meson-current coupling of the diquark-antidiquark states with the quantum numbers $J^{P}=0^{+}$ and quark contents $Z_{q}=[cq][\bar {b} \bar q ]$ and $Z_{s}=[cs][\bar {b} \bar s]$ are calculated using two-point QCD sum rule…

High Energy Physics - Phenomenology · Physics 2017-02-22 S. S. Agaev , K. Azizi , H. Sundu

The fully-charm and -bottom pentaquarks, \emph{i.e.} $cccc\bar{c}$ and $bbbb\bar{b}$, with spin-parity quantum numbers $J^P=\frac{1}{2}^-$, $\frac{3}{2}^-$ and $\frac{5}{2}^-$, are investigated within a Lattice-QCD inspired quark model,…

High Energy Physics - Phenomenology · Physics 2022-07-20 Gang Yang , Jialun Ping , Jorge Segovia

Lattice QCD simulations offer the possibility of determining the potential between three static quarks from first principles. We review the status of such simulations, and the relative standing of the two theoretical proposals for the…

High Energy Physics - Phenomenology · Physics 2015-06-25 Ph. de Forcrand , O. Jahn

SU(3) heavy quark potentials at finite temperature are studied with quenched lattice QCD using the stochastic gauge-fixing method. In addition to the standard color average channel, we investigate $q\bar{q}$ potentials in singlet and octet…

High Energy Physics - Lattice · Physics 2009-11-10 Atsushi Nakamura , Takuya Saito

We present new results on the static qq-potential from high statistics simulations on 32^4 and smaller lattices, using the standard Wilson beta = 6.0, 6.4, and 6.8. Within our statistical errors we do not observe any finite size effects…

High Energy Physics - Lattice · Physics 2016-08-31 Gunnar S. Bali , Klaus Schilling

We compare eigenvalue correlations of the Dirac operator with a chemical potential obtained from lattice simulations of quenched QCD with analytic predictions obtained from chiral effective theories in the zero-momentum limit. By comparing…

High Energy Physics - Lattice · Physics 2008-11-26 James C. Osborn , Tilo Wettig