Bubbles in $^{34}$Si and $^{22}$O?

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Authors
Grasso, M.
Gaudefroy, L.
Khan, E.
c, T. Nikši\'
Piekarewicz, J.
Sorlin, O.
Van Giai, N.
Vretenar, D.
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Abstract
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Bubble nuclei are characterized by a depletion of their central density. Their existence is examined within three different theoretical frameworks: the shell model as well as non-relativistic and relativistic microscopic mean-field approaches. We propose $^{34}$Si and $^{22}$O as possible candidates for proton and neutron bubble nuclei, respectively. In the case of $^{22}$O, we observe a significant model dependence, thereby calling into question the bubble structure of $^{22}$O. In contrast, an overall agreement among the models is obtained for $^{34}$Si. Indeed, all models predict a central proton density depletion of about 40%. This result provides strong evidence in favor of a proton bubble in $^{34}$Si.
Comment: 9 figures
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Nuclear Theory
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