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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| Online-Zugang: | https://arxiv.org/abs/2605.21228 |
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| _version_ | 1866910240991084544 |
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| author | Li, Guo-Ping Zhou, Su-Yu Bai, Dong Zhou, Bo Ma, Yu-Gang |
| author_facet | Li, Guo-Ping Zhou, Su-Yu Bai, Dong Zhou, Bo Ma, Yu-Gang |
| contents | We present a minimalist, symmetry-guided interaction for microscopic cluster models based on Wigner-$SU(4)$ symmetry. Retaining only an $SU(4)$-invariant two-body attraction and a local three-body repulsion, this framework is implemented via the generator coordinate method (GCM) to describe $α$--$α$ scattering phase shifts, the low-lying spectrum and transition properties of $^{12}\mathrm{C}$, and the cluster spectrum of $^{16}\mathrm{O}$. We show that the long-standing structural tension between the $^{12}\mathrm{C}$ and $^{16}\mathrm{O}$ ground states can be mitigated within this restricted $SU(4)$ operator space without introducing additional phenomenological complexity. These results indicate that Wigner-$SU(4)$ symmetry provides an effective organizing principle for $Nα$ clustering, offering a more fundamental baseline for understanding complex cluster structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_21228 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Minimal Wigner-$SU(4)$ Interaction in Microscopic Cluster Models for $α$-Conjugate Nuclei Li, Guo-Ping Zhou, Su-Yu Bai, Dong Zhou, Bo Ma, Yu-Gang Nuclear Theory We present a minimalist, symmetry-guided interaction for microscopic cluster models based on Wigner-$SU(4)$ symmetry. Retaining only an $SU(4)$-invariant two-body attraction and a local three-body repulsion, this framework is implemented via the generator coordinate method (GCM) to describe $α$--$α$ scattering phase shifts, the low-lying spectrum and transition properties of $^{12}\mathrm{C}$, and the cluster spectrum of $^{16}\mathrm{O}$. We show that the long-standing structural tension between the $^{12}\mathrm{C}$ and $^{16}\mathrm{O}$ ground states can be mitigated within this restricted $SU(4)$ operator space without introducing additional phenomenological complexity. These results indicate that Wigner-$SU(4)$ symmetry provides an effective organizing principle for $Nα$ clustering, offering a more fundamental baseline for understanding complex cluster structures. |
| title | Minimal Wigner-$SU(4)$ Interaction in Microscopic Cluster Models for $α$-Conjugate Nuclei |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2605.21228 |