Baryon spectrum with $N_f=2+1+1$ twisted mass fermions

Abstract

The masses of the low lying baryons are evaluated using a total of ten ensembles of dynamical twisted mass fermion gauge configurations. The simulations are performed using two degenerate flavors of light quarks, and a strange and a charm quark fixed to approximately their physical values. The light sea quarks correspond to pseudo scalar masses in the range of about 210~MeV to 430~MeV. We use the Iwasaki improved gluonic action at three values of the coupling constant corresponding to lattice spacing $a=0.094$~fm, 0.082~fm and 0.065~fm determined from the nucleon mass. We check for both finite volume and cut-off effects on the baryon masses. We examine the issue of isospin symmetry breaking for the octet and decuplet baryons and its dependence on the lattice spacing. We show that in the continuum limit isospin breaking is consistent with zero, as expected. We performed a chiral extrapolation of the forty baryon masses using SU(2) $\chi$PT. After taking the continuum limit and extrapolating to the physical pion mass our results are in good agreement with experiment. We provide predictions for the mass of the doubly charmed ${\Xi }_{cc}^{\ast }$, as well as of the doubly and triply charmed $\Omega$s that have not yet been determined experimentally.

Version as appeared in Phys. Rev. D 90, 074501 (2014); 35 pages and 27 figures

References in corpus (16)

• Ab-initio Determination of Light Hadron Masses
• Heavy Baryons in a Quark Model
• Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Ground-state triply and doubly heavy baryons in a relativistic three-quark model
• Nucleon mass and sigma term from lattice QCD with two light fermion flavors
• Light baryon masses with dynamical twisted mass fermions
• Chiral extrapolations of baryon masses for unquenched three-flavor lattice simulations
• Nucleon mass: from lattice QCD to the chiral limit
• The lowest-lying baryon masses in covariant SU(3)-flavor chiral perturbation theory
• Chiral Extrapolations and the Covariant Small Scale Expansion
• Hyperons in Two Flavor Chiral Perturbation Theory
• Baryon masses, chiral extrapolations, and all that
• The mass of the Delta resonance in a finite volume: fourth-order calculation
• Nucleon structure from lattice QCD - recent achievements and perspectives
• Lattice QCD with a twisted mass term and a strange quark

Cited by in corpus (23)

• Baryons as relativistic three-quark bound states
• Charmed bottom baryon spectroscopy from lattice QCD
• Baryons with two heavy quarks: Masses, production, decays, and detection
• A Lattice Calculation of Parton Distributions
• Mass spectra and Regge trajectories of ${\Lambda }_c^{+}$, ${\Sigma }_c^0$, ${\Xi }_c^0$ and ${\Omega }_c^0$ Baryons
• Excited State Mass spectra of doubly heavy baryons ${\Omega }_{cc}$, ${\Omega }_{bb}$ and ${\Omega }_{bc}$
• Excited state mass spectra of doubly heavy $\Xi$ baryons
• On light baryons and their excitations
• Masses and radiative decay widths of S- and P-wave singly-, doubly- and triply-heavy charm and bottom baryons
• Isospin splittings in baryons with two heavy quarks
• Doubly-Heavy Baryon Weak Decays: ${\Xi }_{bc}^0\to p{K}^{-}$ and ${\Xi }_{cc}^{+}\to {\Sigma }_c^{++}(2520)K^{-}$
• ${\Omega }_c\gamma \to {\Omega }_c^{\ast }$ transition in lattice QCD
• On the role of isospin violation in the pion-nucleon $\sigma$-term
• Ground and Excited state masses of ${\Omega }_c^0$, ${\Omega }_{cc}^{+}$ and ${\Omega }_{ccc}^{++}$ baryons
• The Status of ${\Xi }_{cc}^{++}$ Baryon: investigating quark-diquark model
• Scale setting the Möbius Domain Wall Fermion on gradient-flowed HISQ action using the omega baryon mass and the gradient-flow scales $t_0$ and $w_0$
• Mass spectra of ${\Xi }_{cc}$, ${\Xi }_{bc}$, ${\Omega }_{cc}$, and ${\Omega }_{bc}$ baryons in Regge Phenomenology
• Next-to-leading order scalar contributions to $\mu \to e$ conversion
• Lattice QCD study of the elastic and transition form factors of charmed baryons
• ${\Lambda }_c{\Sigma }_c\pi$ coupling and ${\Sigma }_c\to {\Lambda }_c\pi$ decay in lattice QCD
• The temperature dependence of the chiral condensate in the Schwinger model with Matrix Product States
• First moment of the flavour octet nucleon parton distribution function using lattice QCD
• Comment on "Neutron lifetime and dark decay of the neutron and hydrogen''