The Particle-Rotor-Quadrupole-Coupling Model for Transitional Odd-A Nuclei
The particle-rotor-quadrupole-coupling model, in which the quadrupole–quadrupole interaction of the even-even core is described by a triaxial rotor with a single-<i>j</i> particle, is adopted to describe low-lying spectra of odd-A nuclei within the vibrational to triaxial transition regi...
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MDPI AG
2022-12-01
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| Series: | Symmetry |
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| author | Aoxue Li Yingxin Wu Yu Zhang Ziwei Feng Feng Pan Lianrong Dai |
| author_facet | Aoxue Li Yingxin Wu Yu Zhang Ziwei Feng Feng Pan Lianrong Dai |
| author_sort | Aoxue Li |
| collection | DOAJ |
| description | The particle-rotor-quadrupole-coupling model, in which the quadrupole–quadrupole interaction of the even-even core is described by a triaxial rotor with a single-<i>j</i> particle, is adopted to describe low-lying spectra of odd-A nuclei within the vibrational to triaxial transition region. In contrast to the particle-plus-rotor-model, the quadrupole–quadrupole interaction introduced in the particle-rotor-quadrupole-coupling model keeps the rotational symmetry in the collective model framework without approximation. To demonstrate the usability, low-lying level energies, reduced E2 transition probabilities, and ground-state quadrupole moments of <sup>135</sup>Ba and <sup>131</sup>Xe are fit by the model, of which the results are compared with the experimental data and those of other models. It is shown that the fitting results of the particle-rotor-quadrupole-coupling model to the low-lying level energies, reduced E2 transition probabilities, and ground-state electric quadrupole moments of <sup>135</sup>Ba and <sup>131</sup>Xe are the best, of which the model parameters of the even-even core are determined by the triaxial rotor model in fitting the low-lying spectra of <sup>134</sup>Ba and <sup>130</sup>Xe. In comparison with the E(5/4) model results of <sup>135</sup>Ba, it is also shown that the quadrupole–quadrupole interaction of the even-even core with the single particle adopted can indeed reproduce the E(5/4) critical point behavior. The fitting quality of the reduced E2 transition probabilities among low-lying states by the particle-rotor-quadrupole-coupling model is also noticeably improved. Thus, it can be concluded that the particle-rotor-quadrupole-coupling model is suitable to describe low-lying properties of odd-A nuclei within the transitional region. |
| first_indexed | 2024-03-09T15:48:00Z |
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| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T15:48:00Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-bfe2478257804dc5a3db463bf2dc21992023-11-24T18:19:27ZengMDPI AGSymmetry2073-89942022-12-011412257810.3390/sym14122578The Particle-Rotor-Quadrupole-Coupling Model for Transitional Odd-A NucleiAoxue Li0Yingxin Wu1Yu Zhang2Ziwei Feng3Feng Pan4Lianrong Dai5Department of Physics, Liaoning Normal University, Dalian 116029, ChinaDepartment of Physics, Liaoning Normal University, Dalian 116029, ChinaDepartment of Physics, Liaoning Normal University, Dalian 116029, ChinaDepartment of Physics, Liaoning Normal University, Dalian 116029, ChinaDepartment of Physics, Liaoning Normal University, Dalian 116029, ChinaDepartment of Physics, School of Science, Huzhou University, Huzhou 313000, ChinaThe particle-rotor-quadrupole-coupling model, in which the quadrupole–quadrupole interaction of the even-even core is described by a triaxial rotor with a single-<i>j</i> particle, is adopted to describe low-lying spectra of odd-A nuclei within the vibrational to triaxial transition region. In contrast to the particle-plus-rotor-model, the quadrupole–quadrupole interaction introduced in the particle-rotor-quadrupole-coupling model keeps the rotational symmetry in the collective model framework without approximation. To demonstrate the usability, low-lying level energies, reduced E2 transition probabilities, and ground-state quadrupole moments of <sup>135</sup>Ba and <sup>131</sup>Xe are fit by the model, of which the results are compared with the experimental data and those of other models. It is shown that the fitting results of the particle-rotor-quadrupole-coupling model to the low-lying level energies, reduced E2 transition probabilities, and ground-state electric quadrupole moments of <sup>135</sup>Ba and <sup>131</sup>Xe are the best, of which the model parameters of the even-even core are determined by the triaxial rotor model in fitting the low-lying spectra of <sup>134</sup>Ba and <sup>130</sup>Xe. In comparison with the E(5/4) model results of <sup>135</sup>Ba, it is also shown that the quadrupole–quadrupole interaction of the even-even core with the single particle adopted can indeed reproduce the E(5/4) critical point behavior. The fitting quality of the reduced E2 transition probabilities among low-lying states by the particle-rotor-quadrupole-coupling model is also noticeably improved. Thus, it can be concluded that the particle-rotor-quadrupole-coupling model is suitable to describe low-lying properties of odd-A nuclei within the transitional region.https://www.mdpi.com/2073-8994/14/12/2578triaxial deformationquadrupole–quadrupole interactionthe particle-rotor-quadrupole-coupling model |
| spellingShingle | Aoxue Li Yingxin Wu Yu Zhang Ziwei Feng Feng Pan Lianrong Dai The Particle-Rotor-Quadrupole-Coupling Model for Transitional Odd-A Nuclei Symmetry triaxial deformation quadrupole–quadrupole interaction the particle-rotor-quadrupole-coupling model |
| title | The Particle-Rotor-Quadrupole-Coupling Model for Transitional Odd-A Nuclei |
| title_full | The Particle-Rotor-Quadrupole-Coupling Model for Transitional Odd-A Nuclei |
| title_fullStr | The Particle-Rotor-Quadrupole-Coupling Model for Transitional Odd-A Nuclei |
| title_full_unstemmed | The Particle-Rotor-Quadrupole-Coupling Model for Transitional Odd-A Nuclei |
| title_short | The Particle-Rotor-Quadrupole-Coupling Model for Transitional Odd-A Nuclei |
| title_sort | particle rotor quadrupole coupling model for transitional odd a nuclei |
| topic | triaxial deformation quadrupole–quadrupole interaction the particle-rotor-quadrupole-coupling model |
| url | https://www.mdpi.com/2073-8994/14/12/2578 |
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