Prolate-oblate shape competition and impact on charge radii in Bk isotopes
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917322678075392 |
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| author | Sun, Ting-Ting Zhang, Qi Wang, Peng Huang, Zi-Dan Zhang, Shuang-Quan |
| author_facet | Sun, Ting-Ting Zhang, Qi Wang, Peng Huang, Zi-Dan Zhang, Shuang-Quan |
| contents | The nuclear charge radius provides a fundamental probe of nuclear structure, yet experimental data remain rare in the actinide region. Using the deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc) with the PC-PK1 functional, we carry out a systematic investigation of prolate-oblate shape competition in odd-$A$ Bk isotopes. Deformation is found to play an important role in the description of charge radii $r_c$ by extending the density distribution. Notably, $r_c$ exhibits a distinct shape dependence: for a given absolute quadrupole deformation $|β_2|$, oblate shapes yield larger charge radii than their prolate counterparts in well-deformed nuclei near the mid-shell region, where the empirical formula $r_c(β_2) = \left(1 + \frac{5}{4π}|β_2|^2\right) r_c(0)$ fails to capture the observed behavior. This enhancement is attributed to a central depression (or ``bubble" structure) in the proton density, which microscopically originates from the non-occupation of the spherical $3s_{1/2}$($Ω=1/2$) orbital in oblate minima. These findings establish a clear microscopic connection between nuclear shape, single-particle occupancy, and nuclear size. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_07596 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Prolate-oblate shape competition and impact on charge radii in Bk isotopes Sun, Ting-Ting Zhang, Qi Wang, Peng Huang, Zi-Dan Zhang, Shuang-Quan Nuclear Theory The nuclear charge radius provides a fundamental probe of nuclear structure, yet experimental data remain rare in the actinide region. Using the deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc) with the PC-PK1 functional, we carry out a systematic investigation of prolate-oblate shape competition in odd-$A$ Bk isotopes. Deformation is found to play an important role in the description of charge radii $r_c$ by extending the density distribution. Notably, $r_c$ exhibits a distinct shape dependence: for a given absolute quadrupole deformation $|β_2|$, oblate shapes yield larger charge radii than their prolate counterparts in well-deformed nuclei near the mid-shell region, where the empirical formula $r_c(β_2) = \left(1 + \frac{5}{4π}|β_2|^2\right) r_c(0)$ fails to capture the observed behavior. This enhancement is attributed to a central depression (or ``bubble" structure) in the proton density, which microscopically originates from the non-occupation of the spherical $3s_{1/2}$($Ω=1/2$) orbital in oblate minima. These findings establish a clear microscopic connection between nuclear shape, single-particle occupancy, and nuclear size. |
| title | Prolate-oblate shape competition and impact on charge radii in Bk isotopes |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2603.07596 |