Ground state baryons in the flux-tube three-body confinement model using Diffusion Monte Carlo

Abstract

We make a systematical diffusion Monte Carlo (DMC) calculation for all ground state baryons in two confinement scenarios, the pairwise confinement and the three-body flux-tube confinement. With the baryons as an example, we illustrate a feasible procedure to investigate the few-quark states with possible few-body confinement mechanisms, which can be extended to the multiquark states easily. For each baryon, we extract the mass, mean-square radius, charge radius, and the quark distributions. We use the Jackknife resampling method to estimate the statistical uncertainties of masses to be less than 1 MeV. To determine the baryon charge radii, we include the constituent quark size effect, which is fixed by the experimental and lattice QCD results. Our results show that both two-body and three-body confinement mechanisms can give a good description of the experimental data if the parameters are chosen properly. In the flux-tube confinement, introducing different tension parameters for the baryons and mesons are necessary, specifically, ${\sigma }_Y=0.9204{\sigma }_{Q\bar{Q}}$. The lesson from the calculation of the nucleon mass with the DMC method is that the improper pre-assignment of the channels may prevent us from obtaining the real ground state. With this experience, we obtain the real ground state (the ${\eta }_c{\eta }_c$ threshold with the di-meson configuration) of the $cc\bar{c}\bar{c}$ system with $J^{PC}=0^{++}$ starting from the diquark-antidiquark spin-color channels alone, which is hard to achieve in the variational method and was not obtained in the previous DMC calculations.

24 pages, 18 figures. The Supplement material is attached in the source code of LaTeX. Comments are welcomed

References in corpus (11)

• Pentaquark and Tetraquark states
• An updated review of the new hadron states
• Higher Charmonia and X,Y,Z states with Screened Potential
• Diffusion Monte Carlo calculations of fully-heavy (multiquark) bound states
• Chiral extrapolation of octet-baryon charge radii
• $S$-wave fully charmed tetraquark resonant states
• Diffusion Monte Carlo calculations of fully-heavy compact hexaquarks
• Lattice QCD study of the elastic and transition form factors of charmed baryons
• The structure of the X(3872) as explained by a Diffusion Monte Carlo calculation
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• Unified description of the $Qs\bar{q}\bar{q}$ molecular bound states, molecular resonances and compact tetraquark states in the quark potential model
• Doubly heavy tetraquark bound and resonant states
• Fully strange tetraquark resonant states as the cousins of $X(6900)$
• Heavy baryons in the relativized quark model with chromodynamics
• Decay widths and mass spectra of single bottom baryons
• DeepQuark: A Deep-Neural-Network Approach to Multiquark Bound States
• Fully heavy tetraquark states with a diquark-antidiquark configuration
• Electromagnetic polarizabilities of the triplet hadrons in heavy hadron chiral perturbation theory