Shell-model study of $^{28}$Si: coexistence of oblate, prolate and superdeformed shapes
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913962910547968 |
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| author | Frycz, Dorian Menéndez, Javier Rios, Arnau Bally, Benjamin Rodríguez, Tomás R. Romero, Antonio M. |
| author_facet | Frycz, Dorian Menéndez, Javier Rios, Arnau Bally, Benjamin Rodríguez, Tomás R. Romero, Antonio M. |
| contents | 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 wavefunctions indicate that the standard USDB interaction in the $sd$ shell describes well the ground-state oblate rotational band, but misses the experimental 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 $sdpf$ 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 $sdpf$ space. Our results indicate that superdeformed structures appear at about $18$-$20$~MeV. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14506 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Shell-model study of $^{28}$Si: coexistence of oblate, prolate and superdeformed shapes Frycz, Dorian Menéndez, Javier Rios, Arnau Bally, Benjamin Rodríguez, Tomás R. Romero, Antonio M. Nuclear Theory Nuclear Experiment 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 wavefunctions indicate that the standard USDB interaction in the $sd$ shell describes well the ground-state oblate rotational band, but misses the experimental 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 $sdpf$ 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 $sdpf$ space. Our results indicate that superdeformed structures appear at about $18$-$20$~MeV. |
| title | Shell-model study of $^{28}$Si: coexistence of oblate, prolate and superdeformed shapes |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2404.14506 |