Valence $1s-0d$ proton vacancy of the $^{32}$Si ground state
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arXiv
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2025
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| author | Watwood, N. Hoffman, C. R. Kay, B. P. Tolstukhin, I. A. Chen, J. Tang, T. L. Bazin, D. Ayyad, Y. Beceiro-Novo, S. Freeman, S. J. Gaffney, L. P. Garg, R. Jayatissa, H. Kuchera, A. N. MacGregor, P. T. Mitchell, A. J. Muñoz-Ramos, A. Müller-Gatermann, C. Recchia, F. Santamaria, C. Serikow, M. Z. Sharp, D. K. Wilson, G. L. Wuosmaa, A. H. Zamora, J. C. |
| author_facet | Watwood, N. Hoffman, C. R. Kay, B. P. Tolstukhin, I. A. Chen, J. Tang, T. L. Bazin, D. Ayyad, Y. Beceiro-Novo, S. Freeman, S. J. Gaffney, L. P. Garg, R. Jayatissa, H. Kuchera, A. N. MacGregor, P. T. Mitchell, A. J. Muñoz-Ramos, A. Müller-Gatermann, C. Recchia, F. Santamaria, C. Serikow, M. Z. Sharp, D. K. Wilson, G. L. Wuosmaa, A. H. Zamora, J. C. |
| contents | The $^{32}$Si($^3$He,$d$)$^{33}$P reaction was studied in inverse kinematics at 6.3~MeV/$u$. States in $^{33}$P corresponding to the proton $1s-0d$ single-particle orbitals were identified up to $\sim$4.5 MeV in excitation energy. The ($^{3}$He,$d$) spectroscopic factors were determined from Distorted Wave Born Approximation calculations. When combined with complementary neutron-adding data, the $1s-0d$ proton vacancies in the $^{32}$Si ground state were extracted. In conjunction with a re-analysis of data from previous single-particle measurements, the trends in proton and neutron vacancy were explored across the $^{28,30,32,34}$Si isotopes. Both proton and neutron vacancy data show gradual changes in their occupancies. The proton $1s_{1/2}$ orbitals in $^{32}$Si and $^{34}$Si are both consistent with being empty. The ground-state nucleon distributions are described by shell-model calculations constrained to the $1s-0d$ model space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_05073 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Valence $1s-0d$ proton vacancy of the $^{32}$Si ground state Watwood, N. Hoffman, C. R. Kay, B. P. Tolstukhin, I. A. Chen, J. Tang, T. L. Bazin, D. Ayyad, Y. Beceiro-Novo, S. Freeman, S. J. Gaffney, L. P. Garg, R. Jayatissa, H. Kuchera, A. N. MacGregor, P. T. Mitchell, A. J. Muñoz-Ramos, A. Müller-Gatermann, C. Recchia, F. Santamaria, C. Serikow, M. Z. Sharp, D. K. Wilson, G. L. Wuosmaa, A. H. Zamora, J. C. Nuclear Experiment Nuclear Theory The $^{32}$Si($^3$He,$d$)$^{33}$P reaction was studied in inverse kinematics at 6.3~MeV/$u$. States in $^{33}$P corresponding to the proton $1s-0d$ single-particle orbitals were identified up to $\sim$4.5 MeV in excitation energy. The ($^{3}$He,$d$) spectroscopic factors were determined from Distorted Wave Born Approximation calculations. When combined with complementary neutron-adding data, the $1s-0d$ proton vacancies in the $^{32}$Si ground state were extracted. In conjunction with a re-analysis of data from previous single-particle measurements, the trends in proton and neutron vacancy were explored across the $^{28,30,32,34}$Si isotopes. Both proton and neutron vacancy data show gradual changes in their occupancies. The proton $1s_{1/2}$ orbitals in $^{32}$Si and $^{34}$Si are both consistent with being empty. The ground-state nucleon distributions are described by shell-model calculations constrained to the $1s-0d$ model space. |
| title | Valence $1s-0d$ proton vacancy of the $^{32}$Si ground state |
| topic | Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2510.05073 |