\textit{Ab initio} study of spectroscopic factors in $^{48}$K and neighboring $N=28$ isotones
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| Natura: | Preprint |
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2026
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| _version_ | 1866909996606816256 |
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| author | Wang, P. Y. Xie, M. R. Yuan, Q. Huang, W. J. Li, J. G. |
| author_facet | Wang, P. Y. Xie, M. R. Yuan, Q. Huang, W. J. Li, J. G. |
| contents | A recent \(^{47}\text{K}(d,pγ)^{48}\text{K}\) transfer reaction measurement has identified new excited states in \(^{48}\text{K}\) and extracted the corresponding spectroscopic factors (SFs)[\href{https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.134.162504}{C. J. Paxman, \textit{et al.} PhysRevLett.134.162504 (2025)}], but they exposed sizeable discrepancies with large-scale shell-model (LSSM) calculations-especially for the low-lying states-suggesting shortcomings in the proton-neutron interaction employed by the LSSM. In this work, we revisit the low-lying states and SFs of \(^{48}\text{K}\) using the \textit{ab initio} valence-space in-medium similarity renormalization group (VS-IMSRG) approach based on the chiral two- and three-nucleon forces. The calculated excitation energies reproduce the experimental data for \(^{48}\text{K}\), whereas computed SFs systematically exceed experimental values. We trace this overestimation to missing reduction factors that account for non-idealities of the transfer reaction. After introducing a phenomenological reduction factor, our VS-IMSRG results and the LSSM calculations achieve agreement with experiment. We also perform the same analysis for the neutron SFs of $^{47}$Ar. Furthermore, we extend the \textit{ab initio} calculations across the $N=28$ isotones, computing excitation energies and single-neutron transfer SFs from $N=29$ isotones ranging from $^{48}$K to $^{45}$S. By systematically removing protons from \(^{48}\text{K}\) to \(^{45}\text{S}\), we trace the evolution of the \(N=28\) shell strength via theoretical SFs values. Our results provide a microscopic pathway to quantify the weakening of the \(N=28\) shell closure. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_14604 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | \textit{Ab initio} study of spectroscopic factors in $^{48}$K and neighboring $N=28$ isotones Wang, P. Y. Xie, M. R. Yuan, Q. Huang, W. J. Li, J. G. Nuclear Theory A recent \(^{47}\text{K}(d,pγ)^{48}\text{K}\) transfer reaction measurement has identified new excited states in \(^{48}\text{K}\) and extracted the corresponding spectroscopic factors (SFs)[\href{https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.134.162504}{C. J. Paxman, \textit{et al.} PhysRevLett.134.162504 (2025)}], but they exposed sizeable discrepancies with large-scale shell-model (LSSM) calculations-especially for the low-lying states-suggesting shortcomings in the proton-neutron interaction employed by the LSSM. In this work, we revisit the low-lying states and SFs of \(^{48}\text{K}\) using the \textit{ab initio} valence-space in-medium similarity renormalization group (VS-IMSRG) approach based on the chiral two- and three-nucleon forces. The calculated excitation energies reproduce the experimental data for \(^{48}\text{K}\), whereas computed SFs systematically exceed experimental values. We trace this overestimation to missing reduction factors that account for non-idealities of the transfer reaction. After introducing a phenomenological reduction factor, our VS-IMSRG results and the LSSM calculations achieve agreement with experiment. We also perform the same analysis for the neutron SFs of $^{47}$Ar. Furthermore, we extend the \textit{ab initio} calculations across the $N=28$ isotones, computing excitation energies and single-neutron transfer SFs from $N=29$ isotones ranging from $^{48}$K to $^{45}$S. By systematically removing protons from \(^{48}\text{K}\) to \(^{45}\text{S}\), we trace the evolution of the \(N=28\) shell strength via theoretical SFs values. Our results provide a microscopic pathway to quantify the weakening of the \(N=28\) shell closure. |
| title | \textit{Ab initio} study of spectroscopic factors in $^{48}$K and neighboring $N=28$ isotones |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2601.14604 |