Multibaryon states in the framework of an equivparticle model
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866918105413844992 |
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| author | You, Hao-Song Zhu, Xinmei Xia, Cheng-Jun Ping, Jialun Xu, Ren-Xin |
| author_facet | You, Hao-Song Zhu, Xinmei Xia, Cheng-Jun Ping, Jialun Xu, Ren-Xin |
| contents | 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 1s$_{1/2}$ 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 formulae 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 $ΛΛ$, $ΔΔ$ and $ΩΩ$ thresholds, while slight probabilities of other stable dibaryons (23.64$\%$ more stable than $Ω^- Ξ^0$ for the state wtih $I = \frac{1}{2}$, $S = -5$ and 92.49$\%$ more stable than $Ξ^0Ξ^-$ for the state wtih $I = 0$, $S = -4$) and tribaryons (0.25$\%$ more stable than $Ξ^-Ξ^0Ξ^0$ for the state wtih $S = -6$, $I = 1/2$; 2.19$\%$ more stable than $ΛΞ^0Ξ^-$ for the state wtih $S = -5$, $I = 0$; and 2.21$\%$ more stable than $ΛΛΞ^0$ for the state wtih $S = -4$, $I = 1/2$) are observed as well. For heavier compact multibaryon states, it is unlikely for them to be stable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20348 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multibaryon states in the framework of an equivparticle model You, Hao-Song Zhu, Xinmei Xia, Cheng-Jun Ping, Jialun Xu, Ren-Xin High Energy Physics - Phenomenology 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 1s$_{1/2}$ 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 formulae 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 $ΛΛ$, $ΔΔ$ and $ΩΩ$ thresholds, while slight probabilities of other stable dibaryons (23.64$\%$ more stable than $Ω^- Ξ^0$ for the state wtih $I = \frac{1}{2}$, $S = -5$ and 92.49$\%$ more stable than $Ξ^0Ξ^-$ for the state wtih $I = 0$, $S = -4$) and tribaryons (0.25$\%$ more stable than $Ξ^-Ξ^0Ξ^0$ for the state wtih $S = -6$, $I = 1/2$; 2.19$\%$ more stable than $ΛΞ^0Ξ^-$ for the state wtih $S = -5$, $I = 0$; and 2.21$\%$ more stable than $ΛΛΞ^0$ for the state wtih $S = -4$, $I = 1/2$) are observed as well. For heavier compact multibaryon states, it is unlikely for them to be stable. |
| title | Multibaryon states in the framework of an equivparticle model |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2507.20348 |