Within the framework of an equivparticle model employing mean-field approximation, we investigate systematically the mass spectra of color-singlet $N$-quark configurations with $N=3$, 6, 9, 12, 15, and 18, which are assumed to be spherically symmetric with quarks occupying the $1{\mathrm{s}}_{1/2}$ state, i.e., compact multibaryon states. At a given quark number $N$, these states collectively form a single irreducible representation under SU(6) symmetry. Our analysis yields comprehensive mass formulas that characterize these SU(6) multiplets, providing a unified description of their mass spectra. In order to effectively constrain the parameter space of the model and improve the prediction accuracy, we carry out a Bayesian parameter inference based on the experimental masses of eight baryons and $D_{03}$. The posterior probability density functions and their correlations of the model parameters are examined, based on which we further predict the masses of various multibaryon states and provide their 68% and 90% credible intervals. In our prediction, H-dibaryon, $D_{03}$, and the dibaryon with $S=-6$ are all bound states relative to $\mathrm{\Lambda }\mathrm{\Lambda }$, $\mathrm{\Delta }\mathrm{\Delta }$, and $\mathrm{\Omega }\mathrm{\Omega }$ thresholds, while slight probabilities of other stable dibaryons (23.64% more stable than ${\mathrm{\Omega }}^{-}{\mathrm{\Xi }}^0$ for the state with $I=\frac{1}{2}$, $S=-5$ and 92.49% more stable than ${\mathrm{\Xi }}^0{\mathrm{\Xi }}^{-}$ for the state wtih $I=0$, $S=-4$) and tribaryons (0.25% more stable than ${\mathrm{\Xi }}^{-}{\mathrm{\Xi }}^0{\mathrm{\Xi }}^0$ for the state wtih $S=-6$, $I=1/2$; 2.19% more stable than $\mathrm{\Lambda }{\mathrm{\Xi }}^0{\mathrm{\Xi }}^{-}$ for the state with $S=-5$, $I=0$; and 2.21% more stable than $\mathrm{\Lambda }\mathrm{\Lambda }{\mathrm{\Xi }}^0$ for the state with $S=-4$, $I=1/2$) are observed as well. For heavier compact multibaryon states, it is unlikely for them to be stable. The stable and unstable multibaryon states examined in this work may persist in compact stars, which could be helpful for us to understand the essence of pulsarlike objects.

Close

PrevNext

Reuse & PermissionsView figure in article

• 
• 
• 
• 
• 
• 
• 

• Confinement
• Quark matter
• Quark model
• Baryons
• Exotic baryons
• Strange quark