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The mass spectrum of heavy quark baryons has been computed on anisotropic lattices using quenched lattice nonrelativistic QCD. The mass splittings between spin-1/2 and spin-3/2 baryons are also calculated. Results are compared to those…

High Energy Physics - Lattice · Physics 2007-05-23 Nilmani Mathur , Randy Lewis , R. M. Woloshyn

Lattice Gauge Theory enables an ab initio study of the low-energy properties of Quantum Chromodynamics, the theory of the strong interaction. I begin these lectures by presenting the lattice formulation of QCD, and then outline the…

Nuclear Theory · Physics 2017-08-23 D. G. Richards

We calculate Fourier coefficients of the net-baryon number as a function of a purely imaginary chemical potential. The asymptotic behavior of these coefficients is governed by the singularity structure of the QCD partition function and thus…

High Energy Physics - Lattice · Physics 2023-01-13 Christian Schmidt

Drawing on experimental data for baryon resonances, Hamiltonian effective field theory (HEFT) is used to predict the positions of the finite-volume energy levels to be observed in lattice QCD simulations. We have studied the low-lying…

We investigate a doubly-bottomed tetraquark state $T_{bb}$ $(bb \bar{u}\bar{d})$ with quantum number $I(J^P)=0(1^+)$ in $(2+1)$-flavor lattice QCD. Using the Non-Relativistic QCD (NRQCD) quark action for $b$ quarks, we have extracted the…

High Energy Physics - Lattice · Physics 2022-12-02 Sinya Aoki , Takafumi Aoki

We review the application of lattice QCD to the phenomenology of b- and c-quarks. After a short discussion of the lattice techniques used to evaluate hadronic matrix elements and the corresponding systematic uncertainties, we summarise…

High Energy Physics - Lattice · Physics 2016-11-03 J. M. Flynn , C. T. Sachrajda

We consider the HAL QCD method in the system with non-zero total momentum (laboratory frame). We derive a relation between the NBS wave function in the laboratory frame and the energy-independent non-local potential (HAL QCD potential), and…

High Energy Physics - Lattice · Physics 2021-12-03 Sinya Aoki , Yutaro Akahoshi

We study the heavy-heavy-light quark ($QQq$) potential in SU(3) quenched lattice QCD, and discuss one of the roles of the finite-mass valence quark in the inter-quark potential. Monte Carlo simulations are performed with the standard gauge…

High Energy Physics - Lattice · Physics 2008-11-26 Arata Yamamoto , Hideo Suganuma , Hideaki Iida

A set of optimized interpolating operators which are dominantly coupled to each eigenstate of two baryons on the lattice is constructed by the HAL QCD method. To test its validity, we consider heavy dibaryons $\Omega_{3Q}\Omega_{3Q}$…

High Energy Physics - Lattice · Physics 2022-12-21 Yan Lyu , Hui Tong , Takuya Sugiura , Sinya Aoki , Takumi Doi , Tetsuo Hatsuda , Jie Meng , Takaya Miyamoto

We present lattice estimates of the mass of the heavy-light baryons $\Lambda_b$ and $\Xi_b$ obtained using propagating heavy quarks. For $\Lambda_b$ our result is $M_{\Lambda_b}=5.728 \pm 0.144 \pm 0.018$ GeV, after extrapolation to the…

High Energy Physics - Lattice · Physics 2009-10-28 C. Alexandrou , A. Borrelli , S. Guesken , F. Jegerlehner , K. Schilling , G. Siegert , R. Sommer

We study the $\Lambda$-nucleon ($\Lambda N$) force by using lattice QCD. The Bethe-Salpeter amplitude is calculated for the lowest scattering state of the $\Lambda N$ so as to obtain the $\Lambda N$ potential. The numerical calculation is…

High Energy Physics - Lattice · Physics 2010-01-21 H. Nemura , N. Ishii , S. Aoki , T. Hatsuda , for PACS-CS Collaboration

In the last few years, numerical simulations of QCD on the lattice have reached a new level of accuracy. A wide range of thermodynamic quantities is now available in the continuum limit and for physical quark masses. This allows a…

High Energy Physics - Lattice · Physics 2018-07-25 Claudia Ratti

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

Finite density lattice QCD usually relies on extrapolations in baryon chemical potential ($\mu_B$), be it Taylor expansion, T' expansion (\cite{Borsanyi:2021sxv}) or analytical continuation. However, their range of validity is difficult to…

I discuss the latest progress in calculating baryon-baryon interactions with lattice QCD. The latest results from the NPLQCD collaboration for nucleon-nucleon scattering along with preliminary calculations of hyperon-nucleon scattering are…

Nuclear Theory · Physics 2007-05-23 Martin J. Savage

We present preliminary results on the $I=0$, $S=-2$ $H$ dibaryon in $N_{\rm f}=2+1$ QCD. The calculation is performed with heavier-than-physical quarks ($m_\pi \approx 280$ MeV) on a single CLS ensemble. Correlation matrices are constructed…

We report on the lattice calculations of the heavy quark potential at $T>0$ in 2+1 flavor QCD at physical quark masses using the Highly Improved Staggered Quark discretization. We study in detail the systematic effects in the determination…

High Energy Physics - Lattice · Physics 2018-03-14 P. Petreczky , J. Weber

We report a first, complete lattice QCD calculation of the long-distance contribution to the $K^+\to\pi^+\nu\bar{\nu}$ decay within the standard model. This is a second-order weak process involving two four-Fermi operators that is highly…

High Energy Physics - Lattice · Physics 2017-06-28 Ziyuan Bai , Norman H. Christ , Xu Feng , Andrew Lawson , Antonin Portelli , Christopher T. Sachrajda

We present results on the QCD equation of state, obtained with two different improved dynamical staggered fermion actions and almost physical quark masses. Lattice cut-off effects are discussed in detail as results for three different…

High Energy Physics - Lattice · Physics 2015-05-13 Christian Schmidt , for RBC-Bielefeld , HotQCD Collaborations

Lattice QCD (LQCD) calculations predict that chiral symmetry is restored in a smooth crossover transition between a quark-gluon plasma and a hadron resonance gas (HRG) at vanishing net-baryon density, a condition realized in heavy-ion…

Nuclear Experiment · Physics 2025-10-14 Ilya Fokin
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