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.

15 pages, 1 figure, published version

References in corpus (8)

• Infinite N phase transitions in continuum Wilson loop operators
• Charmed bottom baryon spectroscopy from lattice QCD
• Accelerating Dynamical Fermion Computations using the Rational Hybrid Monte Carlo (RHMC) Algorithm with Multiple Pseudofermion Fields
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• Spectroscopy of doubly-charmed baryons from lattice QCD
• Beauty mesons in lattice QCD with exact chiral symmetry
• Decay Constants of Pseudoscalar $D$-mesons in Lattice QCD with Domain-Wall Fermion
• Chiral Symmetry and the Residual Mass in Lattice QCD with the Optimal Domain-Wall Fermion

Cited by in corpus (12)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• 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
• Lattice QCD study of the elastic and transition form factors of charmed baryons
• Topological susceptibility in finite temperature QCD with physical $(u/d,s,c)$ domain-wall quarks
• Magnetic moments of the spin-$\frac{3}{2}$ doubly charmed baryons in covariant baryon chiral perturbation theory
• Non-zero temperature study of spin 1/2 charmed baryons using lattice gauge theory
• Triply heavy baryon spectroscopy revisited
• Precise study of triply charmed baryons ${\Omega }_{ccc}$
• Observation of a new charmed baryon decaying to ${\Xi }_c^{+}{\pi }^{-}{\pi }^{+}$
• Unphysical poles and dispersion relations for Möbius domain-wall fermions in free field theory at finite $L_s$
• Mass spectrum, magnetic moments and Regge trajectories of ${\Omega }_{ccb}$ and ${\Omega }_{cbb}$ baryons in the nonrelativistic quark--diquark model