Evolution of giant monopole resonance with triaxial deformation
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866911917148209152 |
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| author | Washiyama, Kouhei Ebata, Shuichiro Yoshida, Kenichi |
| author_facet | Washiyama, Kouhei Ebata, Shuichiro Yoshida, Kenichi |
| contents | Background: The isoscalar giant monopole resonance (ISGMR) splits into two peaks in prolately deformed nuclei. When a nucleus is triaxially deformed, a peak appears in the middle between the two peaks.
Purpose: We investigate the mechanism of the appearance of the middle peak in the ISGMR in triaxial nuclei.
Method: We perform the constrained Skyrme-Hartree-Fock-Bogoliubov (CHFB) calculation for arbitrary triaxial shapes in $^{100}$Mo. We calculate the strength functions of the isoscalar monopole (ISM) and IS quadrupole modes on the CHFB states. Furthermore, we investigate vibrations of matter distributions in $x$, $y$, and $z$ directions induced by the external ISM field, with the $z$ axis being the longest axis of the triaxial shape.
Results: The middle peak in the ISM strength evolves from the triaxial degree $γ=0^\circ$ to $60^\circ$. This is because the difference between the vibration in $x$ direction and that in $y$ direction is evident with an increase in $γ$ and the quadrupole $K=2$ component of the induced density of the ISM at the middle peak increases as $γ$ increases, where $K$ denotes the $z$ component of the angular momentum. This property is also obtained in the unperturbed ISM strength without the residual fields.
Conclusions: The mixing between the monopole and quadrupole modes is primarily determined by the ground-state deformation. Therefore, the ISM strength of the middle peak becomes strong as the triaxial degree in the ground state increases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_18317 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Evolution of giant monopole resonance with triaxial deformation Washiyama, Kouhei Ebata, Shuichiro Yoshida, Kenichi Nuclear Theory Nuclear Experiment Background: The isoscalar giant monopole resonance (ISGMR) splits into two peaks in prolately deformed nuclei. When a nucleus is triaxially deformed, a peak appears in the middle between the two peaks. Purpose: We investigate the mechanism of the appearance of the middle peak in the ISGMR in triaxial nuclei. Method: We perform the constrained Skyrme-Hartree-Fock-Bogoliubov (CHFB) calculation for arbitrary triaxial shapes in $^{100}$Mo. We calculate the strength functions of the isoscalar monopole (ISM) and IS quadrupole modes on the CHFB states. Furthermore, we investigate vibrations of matter distributions in $x$, $y$, and $z$ directions induced by the external ISM field, with the $z$ axis being the longest axis of the triaxial shape. Results: The middle peak in the ISM strength evolves from the triaxial degree $γ=0^\circ$ to $60^\circ$. This is because the difference between the vibration in $x$ direction and that in $y$ direction is evident with an increase in $γ$ and the quadrupole $K=2$ component of the induced density of the ISM at the middle peak increases as $γ$ increases, where $K$ denotes the $z$ component of the angular momentum. This property is also obtained in the unperturbed ISM strength without the residual fields. Conclusions: The mixing between the monopole and quadrupole modes is primarily determined by the ground-state deformation. Therefore, the ISM strength of the middle peak becomes strong as the triaxial degree in the ground state increases. |
| title | Evolution of giant monopole resonance with triaxial deformation |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2311.18317 |