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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.01013 |
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| _version_ | 1866911862118940672 |
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| author | Wu, Bing Cao, Xiong-Hui Dong, Xiang-Kun Guo, Feng-Kun |
| author_facet | Wu, Bing Cao, Xiong-Hui Dong, Xiang-Kun Guo, Feng-Kun |
| contents | Based on the one-boson-exchange framework that the $σ$ meson serves as an effective parameterization for the correlated scalar-isoscalar $ππ$ interaction, we calculate the coupling constants of the $σ$ to the $\frac{1}{2}^+$ ground state light baryon octet ${\mathbb B}$ by matching the amplitude of ${\mathbb B}\bar{\mathbb B}\toππ\to\bar{\mathbb B}{\mathbb B}$ to that of ${\mathbb B}\bar{\mathbb B}\toσ\to\bar{\mathbb B}{\mathbb B}$. The former is calculated using a dispersion relation, supplemented with chiral perturbation theory results for the ${\mathbb B}{\mathbb B}ππ$ couplings and the Muskhelishvili-Omn\` es representation for the $ππ$ rescattering. Explicitly, the coupling constants are obtained as $g_{NNσ}=8.7_{-1.9}^{+1.7}$, $g_{ΣΣσ}=3.5_{-1.3}^{+1.8}$, $g_{ΞΞσ}=2.5_{-1.4}^{+1.5}$, and $g_{ΛΛσ}=6.8_{-1.7}^{+1.5}$. These coupling constants can be used in the one-boson-exchange model calculations of the interaction of light baryons with other hadrons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_01013 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $σ$ exchange in the one-boson exchange model involving the ground state octet baryons Wu, Bing Cao, Xiong-Hui Dong, Xiang-Kun Guo, Feng-Kun High Energy Physics - Phenomenology Nuclear Theory Based on the one-boson-exchange framework that the $σ$ meson serves as an effective parameterization for the correlated scalar-isoscalar $ππ$ interaction, we calculate the coupling constants of the $σ$ to the $\frac{1}{2}^+$ ground state light baryon octet ${\mathbb B}$ by matching the amplitude of ${\mathbb B}\bar{\mathbb B}\toππ\to\bar{\mathbb B}{\mathbb B}$ to that of ${\mathbb B}\bar{\mathbb B}\toσ\to\bar{\mathbb B}{\mathbb B}$. The former is calculated using a dispersion relation, supplemented with chiral perturbation theory results for the ${\mathbb B}{\mathbb B}ππ$ couplings and the Muskhelishvili-Omn\` es representation for the $ππ$ rescattering. Explicitly, the coupling constants are obtained as $g_{NNσ}=8.7_{-1.9}^{+1.7}$, $g_{ΣΣσ}=3.5_{-1.3}^{+1.8}$, $g_{ΞΞσ}=2.5_{-1.4}^{+1.5}$, and $g_{ΛΛσ}=6.8_{-1.7}^{+1.5}$. These coupling constants can be used in the one-boson-exchange model calculations of the interaction of light baryons with other hadrons. |
| title | $σ$ exchange in the one-boson exchange model involving the ground state octet baryons |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2312.01013 |