Searching for the Tetraneutron Resonance on the Lattice
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866908967277428736 |
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| author | Wu, Linqian Elhatisari, Serdar Meißner, Ulf-G. Shen, Shihang Geng, Li-Sheng Kim, Youngman |
| author_facet | Wu, Linqian Elhatisari, Serdar Meißner, Ulf-G. Shen, Shihang Geng, Li-Sheng Kim, Youngman |
| contents | The nature of the tetraneutron ($4n$) system remains a pivotal question in nuclear physics. We investigate the $4n$ system using nuclear lattice effective field theory in finite volumes with a lattice size up to $L=30$~fm, employing both a high-precision N$^3$LO interaction and a simplified SU(4) symmetric one. The ground-state energy is found to decrease smoothly with increasing box size, showing no plateau characteristic of a resonance. We further compute the dineutron-dineutron scattering phase shift using Lüscher's finite-volume method. At the smallest relative momenta, the extracted $2n$--$2n$ $S$-wave phase shift is small, consistent with a weak interaction in the dilute limit. At intermediate momenta, it exhibits a weak attraction with a peak of approximately $10^\circ$ at relative momentum of 60--84~MeV. While this structure does not constitute a resonance, the corresponding confined $4n$ energy of 1.7--3.3~MeV lies close to the experimentally observed low-energy peak. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_01801 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Searching for the Tetraneutron Resonance on the Lattice Wu, Linqian Elhatisari, Serdar Meißner, Ulf-G. Shen, Shihang Geng, Li-Sheng Kim, Youngman Nuclear Theory The nature of the tetraneutron ($4n$) system remains a pivotal question in nuclear physics. We investigate the $4n$ system using nuclear lattice effective field theory in finite volumes with a lattice size up to $L=30$~fm, employing both a high-precision N$^3$LO interaction and a simplified SU(4) symmetric one. The ground-state energy is found to decrease smoothly with increasing box size, showing no plateau characteristic of a resonance. We further compute the dineutron-dineutron scattering phase shift using Lüscher's finite-volume method. At the smallest relative momenta, the extracted $2n$--$2n$ $S$-wave phase shift is small, consistent with a weak interaction in the dilute limit. At intermediate momenta, it exhibits a weak attraction with a peak of approximately $10^\circ$ at relative momentum of 60--84~MeV. While this structure does not constitute a resonance, the corresponding confined $4n$ energy of 1.7--3.3~MeV lies close to the experimentally observed low-energy peak. |
| title | Searching for the Tetraneutron Resonance on the Lattice |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2601.01801 |