The boson number hypothesis and the boson number odd-even effect in $^{196-204}$Hg
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915176274460672 |
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| author | Wang, Tao Zhou, Chun-xiao Fortunato, Lorenzo |
| author_facet | Wang, Tao Zhou, Chun-xiao Fortunato, Lorenzo |
| contents | In the SU3-IBM the oblate shape is described by the \textrm{SU(3)} third-order Casimir operator in the large-$N$ limit. However for finite $N$, this interaction can produce a boson number odd-even effect. In this Letter, we find that, the unique odd-even effect really exists in the nuclei $^{196-204}$Hg. This finding implies that realistic low-lying excitations are sensitive to certain boson number $N$. The boson number hypothesis is verified for the first time since the advent of the interacting boson model. This also proves the accuracy and validity of the SU3-IBM directly. The SU(3) symmetry and the higher-order interactions are both indispensable for understanding the nuclear quadrupole deformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_14881 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The boson number hypothesis and the boson number odd-even effect in $^{196-204}$Hg Wang, Tao Zhou, Chun-xiao Fortunato, Lorenzo Nuclear Theory In the SU3-IBM the oblate shape is described by the \textrm{SU(3)} third-order Casimir operator in the large-$N$ limit. However for finite $N$, this interaction can produce a boson number odd-even effect. In this Letter, we find that, the unique odd-even effect really exists in the nuclei $^{196-204}$Hg. This finding implies that realistic low-lying excitations are sensitive to certain boson number $N$. The boson number hypothesis is verified for the first time since the advent of the interacting boson model. This also proves the accuracy and validity of the SU3-IBM directly. The SU(3) symmetry and the higher-order interactions are both indispensable for understanding the nuclear quadrupole deformations. |
| title | The boson number hypothesis and the boson number odd-even effect in $^{196-204}$Hg |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2412.14881 |