$Δl =1$ coupling of single-particle orbitals in octupole deformed nuclei
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908959903842304 |
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| author | Wang, XuDong Qi, Bin Wang, Shouyu Liu, Chen |
| author_facet | Wang, XuDong Qi, Bin Wang, Shouyu Liu, Chen |
| contents | Conventionally, octupole deformation in nuclei has been attributed to strong $Δl=3$ couplings between opposite-parity single-particle orbitals. In this work, we demonstrate that the often-overlooked $Δl=1$ mode also plays an important role. Taking orbitals near the octupole magic number $N = 134$ as a benchmark, we systematically evaluate the $Δl = 1$ and $Δl = 3$ mixing ratios of the wave functions within the Nilsson model, interpreting the trends through matrix elements of the deformed potential. We introduce component-resolved single-particle octupole energy contributions, based on the Hellmann--Feynman relation, to quantify the contributions of each $(Δl,Δj)$ coupling. Furthermore, the impact of $Δl = 1$ coupling on the rotational structure is demonstrated via particle-rotor model calculations for $^{221}$Ra and $^{223}$Th. Our work suggests that $Δl=1$ and $Δl=3$ octupole couplings act synergistically in driving reflection asymmetry, necessitating a revised paradigm for understanding octupole correlation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_11265 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $Δl =1$ coupling of single-particle orbitals in octupole deformed nuclei Wang, XuDong Qi, Bin Wang, Shouyu Liu, Chen Nuclear Theory Conventionally, octupole deformation in nuclei has been attributed to strong $Δl=3$ couplings between opposite-parity single-particle orbitals. In this work, we demonstrate that the often-overlooked $Δl=1$ mode also plays an important role. Taking orbitals near the octupole magic number $N = 134$ as a benchmark, we systematically evaluate the $Δl = 1$ and $Δl = 3$ mixing ratios of the wave functions within the Nilsson model, interpreting the trends through matrix elements of the deformed potential. We introduce component-resolved single-particle octupole energy contributions, based on the Hellmann--Feynman relation, to quantify the contributions of each $(Δl,Δj)$ coupling. Furthermore, the impact of $Δl = 1$ coupling on the rotational structure is demonstrated via particle-rotor model calculations for $^{221}$Ra and $^{223}$Th. Our work suggests that $Δl=1$ and $Δl=3$ octupole couplings act synergistically in driving reflection asymmetry, necessitating a revised paradigm for understanding octupole correlation. |
| title | $Δl =1$ coupling of single-particle orbitals in octupole deformed nuclei |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2604.11265 |