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

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 QQ over bar . The lesson from the calculation of the nucleon mass with the DMC method is that the improper preassignment 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 dimeson configuration) of the ccc over bar c over bar system with JPC = 0++ starting from the diquark-antidiquark spin-color channels alone, which is difficult to achieve in the variational method and was not obtained in the previous DMC calculations.

Automated summary

In this article, we use a systematic diffusion Monte Carlo (DMC) calculation to study the ground state baryons under two confinement scenarios. We demonstrate a feasible procedure to investigate few-quark states with possible confinement mechanisms, which can be extended to multiquark states easily. Our results show that both pairwise and three-body confinement mechanisms can describe the experimental data well if the parameters are chosen properly. We also obtain the real ground state of the ccc over bar c over bar system starting from diquark-antidiquark spin-color channels alone.