Electromagnetic polarizabilities of the spin-$\frac{3}{2}$ baryons in heavy baryon chiral perturbation theory
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| Format: | Preprint |
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2025
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| _version_ | 1866911235849584640 |
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| author | Wen, Liang-Zhen Chen, Yan-Ke Meng, Lu Zhu, Shi-Lin |
| author_facet | Wen, Liang-Zhen Chen, Yan-Ke Meng, Lu Zhu, Shi-Lin |
| contents | We employ Heavy Baryon Chiral Perturbation Theory (HB$χ$PT), a non-relativistic effective field theory that treats baryons as heavy static sources, to calculate the electromagnetic polarizabilities of spin-3/2 baryons in two sectors: the light-flavor decuplet baryons and singly heavy sextet baryons. We derive the analytical expressions up to $\mathcal{O}\left(p^3\right)$. Our results indicate that the long-range chiral corrections provide substantial contributions to the polarizabilities. In addition, magnetic dipole (M1) transitions of the baryons can significantly affect the magnetic polarizabilities and may even reverse their signs. For the decuplet baryons, the $Δ^+$ and $Δ^0$ exhibit the largest electric polarizabilities. Their values, $α_E(Δ^+) = (17.5 \pm 9.5)\times 10^{-4} \, \mathrm{fm}^3$ and $α_E(Δ^0) = (17.0 \pm 9.3)\times 10^{-4} \, \mathrm{fm}^3$, significantly exceed those typically observed for nucleons. Meanwhile, the electric polarizabilities of spin-3/2 singly heavy baryons are comparable to those of their spin-1/2 partners. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_18800 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Electromagnetic polarizabilities of the spin-$\frac{3}{2}$ baryons in heavy baryon chiral perturbation theory Wen, Liang-Zhen Chen, Yan-Ke Meng, Lu Zhu, Shi-Lin High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice We employ Heavy Baryon Chiral Perturbation Theory (HB$χ$PT), a non-relativistic effective field theory that treats baryons as heavy static sources, to calculate the electromagnetic polarizabilities of spin-3/2 baryons in two sectors: the light-flavor decuplet baryons and singly heavy sextet baryons. We derive the analytical expressions up to $\mathcal{O}\left(p^3\right)$. Our results indicate that the long-range chiral corrections provide substantial contributions to the polarizabilities. In addition, magnetic dipole (M1) transitions of the baryons can significantly affect the magnetic polarizabilities and may even reverse their signs. For the decuplet baryons, the $Δ^+$ and $Δ^0$ exhibit the largest electric polarizabilities. Their values, $α_E(Δ^+) = (17.5 \pm 9.5)\times 10^{-4} \, \mathrm{fm}^3$ and $α_E(Δ^0) = (17.0 \pm 9.3)\times 10^{-4} \, \mathrm{fm}^3$, significantly exceed those typically observed for nucleons. Meanwhile, the electric polarizabilities of spin-3/2 singly heavy baryons are comparable to those of their spin-1/2 partners. |
| title | Electromagnetic polarizabilities of the spin-$\frac{3}{2}$ baryons in heavy baryon chiral perturbation theory |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2506.18800 |