Lattice QCD with $N_f=2+1+1$ domain-wall quarks

Abstract

We perform hybrid Monte Carlo simulation of (2+1+1)-flavors lattice QCD with the optimal domain-wall fermion (which has the effective 4D Dirac operator exactly equal to the Zolotarev optimal rational approximation of the overlap Dirac operator). The gauge ensemble is generated on the $32^3\times 64$ lattice with the extent $N_s=16$ in the fifth dimension, and with the plaquette gauge action at $\beta =6/g^2=6.20$. The lattice spacing ($a\simeq 0.063$ fm) is determined by the Wilson flow, using the value $\sqrt{t_0}=0.1416(8)$ fm obtained by the MILC Collaboration for the $(2+1+1)$-flavors QCD. The masses of $s$ and $c$ quarks are fixed by the masses of the vector mesons $\varphi (1020)$ and $J/\psi (3097)$ respectively; while the mass of the $u/d$ quarks is heavier than their physical values, with the unitary pion mass $M_{\pi }\simeq 280$ MeV (and $M_{\pi }L\simeq 3$). We compute the point-to-point quark propagators, and measure the time-correlation functions of meson and baryon interpolators. Our results of the mass spectra of the lowest-lying hadrons containing $s$ and $c$ quarks are in good agreement with the high energy experimental values, together with the predictions of the charmed baryons which have not been observed in experiments.

arXiv comment15 pages, 1 figure, published version

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Cited by in corpus (24)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Quantum Numbers of ${\Omega }_c$ States and Other Charmed Baryons
• Charmed baryon spectrum from lattice QCD near the physical point
• Lattice QCD study of doubly-charmed strange baryons
• Model independent determination of the spins of the $P_c$(4440) and $P_c$(4457) from the spectroscopy of the triply charmed dibaryons
• Doubly heavy tetraquark multiplets as heavy antiquark-diquark symmetry partners of heavy baryons
• Tetraquark interpolating fields in a lattice QCD investigation of the $D_{s0}^{\ast }(2317)$ meson
• Magnetic moments of the spin-1/2 singly charmed baryons in covariant baryon chiral perturbation theory
• Perturbative Corrections to Heavy Quark-Diquark Symmetry Predictions for Doubly Heavy Baryon Hyperfine Splittings
• Lattice QCD study of the elastic and transition form factors of charmed baryons
• Domain Wall Fermion QCD with the Exact One Flavor Algorithm
• Magnetic moments of the spin-$\frac{3}{2}$ doubly charmed baryons in covariant baryon chiral perturbation theory
• Topological susceptibility in finite temperature QCD with physical $(u/d,s,c)$ domain-wall quarks
• Non-zero temperature study of spin 1/2 charmed baryons using lattice gauge theory
• Light Hadron Masses from a Matrix Model for QCD
• Triply heavy baryon spectroscopy revisited
• Heavy baryon spectroscopy
• Beauty mesons in $N_f=2+1+1+1$ lattice QCD with exact chiral symmetry
• Observation of a new charmed baryon decaying to ${\Xi }_c^{+}{\pi }^{-}{\pi }^{+}$
• Precise study of triply charmed baryons ${\Omega }_{ccc}$
• Unphysical poles and dispersion relations for Möbius domain-wall fermions in free field theory at finite $L_s$
• New $N_f=2$ Pseudofermion Action for Monte-Carlo Simulation of Lattice Field Theory with Domain-Wall Fermions
• Mass spectrum, magnetic moments and Regge trajectories of ${\Omega }_{ccb}$ and ${\Omega }_{cbb}$ baryons in the nonrelativistic quark--diquark model
• Mass Spectra of $D_s$ and ${\Omega }_c$ in Lattice QCD with $N_f=2+1+1$ Domain-Wall Quarks