Deeply bound dibaryon $d^*(2380)$ from meson-exchange saturation $ΔΔ$ effective field theory
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| Format: | Preprint |
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2026
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| _version_ | 1866914618281033728 |
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| author | Sawasdipol, Prin Bubpatate, Chinadanai Samart, Daris |
| author_facet | Sawasdipol, Prin Bubpatate, Chinadanai Samart, Daris |
| contents | We propose an RG-improved effective-field-theory framework for the deeply bound dibaryon $d^*(2380)$, a $ΔΔ$ bound state in the $(J,I)=(3,0)$ ${}^7S_3$ channel. Its binding momentum $γ\simeq 320$ MeV gives $γ/m_π\simeq 2.3$, indicating the need to re-organize the short-range dynamics beyond a formal pionless EFT. We match the large-$N_c$-constrained pionless contact potential to a meson-exchange-saturated contact interaction in which the $σ,ρ,ω$ dynamics are integrated out at the hadronic scale $m_V$, yielding the controlled expansion parameter $γ/m_V\simeq 0.42$. Normalizing the contact coupling to the deuteron and substituting the phenomenological CD-Bonn couplings gives $B_{ΔΔ}\simeq 96$ MeV. The $\simeq 14\%$ discrepancy from $B_{\rm exp}=84$ MeV is of the natural size of $\mathcal{O}(1/N_c^2)\simeq 11\%$ corrections to the $NN$ potential, confirming compatibility with a controlled EFT expansion organized around the finite-range hadronic scale. As a result, the observed $d^*(2380)$ pole emerges from the virtual state to bound state by using the EFT re-organization in this work. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_31578 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Deeply bound dibaryon $d^*(2380)$ from meson-exchange saturation $ΔΔ$ effective field theory Sawasdipol, Prin Bubpatate, Chinadanai Samart, Daris High Energy Physics - Phenomenology Nuclear Theory We propose an RG-improved effective-field-theory framework for the deeply bound dibaryon $d^*(2380)$, a $ΔΔ$ bound state in the $(J,I)=(3,0)$ ${}^7S_3$ channel. Its binding momentum $γ\simeq 320$ MeV gives $γ/m_π\simeq 2.3$, indicating the need to re-organize the short-range dynamics beyond a formal pionless EFT. We match the large-$N_c$-constrained pionless contact potential to a meson-exchange-saturated contact interaction in which the $σ,ρ,ω$ dynamics are integrated out at the hadronic scale $m_V$, yielding the controlled expansion parameter $γ/m_V\simeq 0.42$. Normalizing the contact coupling to the deuteron and substituting the phenomenological CD-Bonn couplings gives $B_{ΔΔ}\simeq 96$ MeV. The $\simeq 14\%$ discrepancy from $B_{\rm exp}=84$ MeV is of the natural size of $\mathcal{O}(1/N_c^2)\simeq 11\%$ corrections to the $NN$ potential, confirming compatibility with a controlled EFT expansion organized around the finite-range hadronic scale. As a result, the observed $d^*(2380)$ pole emerges from the virtual state to bound state by using the EFT re-organization in this work. |
| title | Deeply bound dibaryon $d^*(2380)$ from meson-exchange saturation $ΔΔ$ effective field theory |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2605.31578 |