Weakening of $N=28$ shell gap and the nature of $0_2^+$ states
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929462323445760 |
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| author | Maheshwari, Bhoomika Nomura, Kosuke |
| author_facet | Maheshwari, Bhoomika Nomura, Kosuke |
| contents | The work reports a novel application of the interacting boson model in light-mass region around $^{48}$Ca, that takes into account intruder states and configuration mixing. The model is shown to provide a reasonable description of the observed low-lying yrast and yrare states of the $N=28$ even-even isotones from Si to Fe, and even-even Ca isotopes. The nature of $0_2^+$ states is addressed in terms of the competition between spherical and deformed intruder configurations, and the rigidity of the $N=28$ shell gap is tested. The $0_2^+$ isomer in $^{44}$S is shown to arise from a weak mixing between the two configurations. The unresolved low-lying spectra in $^{46}$Ar is also approached using the core-excitations across $N=28$ shell. The SU(3) structure in $^{42}$Si is supported by the present calculation. The nearly spherical nature of $^{50}$Ti, $^{52}$Cr, $^{54}$Fe and $^{42,44,46}$Ca isotopes is found, while the core excitations are found to be essential for the description of yrare states. Shell model calculation is also performed for comparison. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_11729 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weakening of $N=28$ shell gap and the nature of $0_2^+$ states Maheshwari, Bhoomika Nomura, Kosuke Nuclear Theory Nuclear Experiment The work reports a novel application of the interacting boson model in light-mass region around $^{48}$Ca, that takes into account intruder states and configuration mixing. The model is shown to provide a reasonable description of the observed low-lying yrast and yrare states of the $N=28$ even-even isotones from Si to Fe, and even-even Ca isotopes. The nature of $0_2^+$ states is addressed in terms of the competition between spherical and deformed intruder configurations, and the rigidity of the $N=28$ shell gap is tested. The $0_2^+$ isomer in $^{44}$S is shown to arise from a weak mixing between the two configurations. The unresolved low-lying spectra in $^{46}$Ar is also approached using the core-excitations across $N=28$ shell. The SU(3) structure in $^{42}$Si is supported by the present calculation. The nearly spherical nature of $^{50}$Ti, $^{52}$Cr, $^{54}$Fe and $^{42,44,46}$Ca isotopes is found, while the core excitations are found to be essential for the description of yrare states. Shell model calculation is also performed for comparison. |
| title | Weakening of $N=28$ shell gap and the nature of $0_2^+$ states |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2401.11729 |