Ground state baryons in the flux-tube three-body confinement model using Diffusion Monte Carlo
| Autor: | Ma, Yao, Meng, Lu, Chen, Yan-Ke, Zhu, Shi-Lin |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Phys. Rev. D 107, 054035 (2023) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.107.054035 |
| Popis: | 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. Comment: 24 pages, 18 figures. The Supplement material is attached in the source code of LaTeX. Comments are welcomed |
| Databáze: | arXiv |
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