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Shell-model study of 28 Si: Coexistence of oblate, prolate, and superdeformed shapes
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We study the shape coexistence in the nucleus 28 Si with the nuclear shell model using numerical diagonalizations complemented with variational calculations based on the projected generator-coordinate method. The theoretical electric quadrupole moments and transitions as well as the collective wave functions indicate that the standard USDB interaction in the sd shell describes well the ground-state oblate rotational band, but misses theexperimental prolate band. Guided by the quasi-SU(3) model, we show that the prolate band can be reproduced in the sd shell by reducing the energy of the 0d 3/2 orbital. Alternatively, in the extended sd p f configuration space a modification of the SDPF-NR interaction that accommodates cross-shell excitations also reproduces the oblate and prolate bands. Finally, we address the possibility of superdeformation in 28 Si within the sd p f space. Our results indicate that superdeformed structures appear at about 18–20 MeV.
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FRICZ, Dorian, et al. Shell-model study of 28 Si: Coexistence of oblate, prolate, and superdeformed shapes. Physical Review C. 2024. Vol. 110, num. 054326. ISSN 2469-9985. [consulted: 10 of October of 2026]. Available at: https://hdl.handle.net/2445/217962