Quadrupole Strength in Isobaric Triplets
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911330590523392 |
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| author | Backes, B. C. Dobaczewski, J. Muir, D. Nazarewicz, W. Reinhard, P. -G. Bentley, M. A. Wadsworth, R. |
| author_facet | Backes, B. C. Dobaczewski, J. Muir, D. Nazarewicz, W. Reinhard, P. -G. Bentley, M. A. Wadsworth, R. |
| contents | The dependence of the $E2$ matrix elements on isospin projection $T_z$ is linked to the conservation of the isospin symmetry. To study this conjecture, we calculated the ${B(E2: 2^+ \rightarrow 0^+)}$ rates for the even-even $T=1$ mirror nuclei with $42$ $\leq$ $A$ $\leq$ $98$ within nuclear density functional theory, employing the generalized Bohr Hamiltonian, and carrying out angular momentum projection. We demonstrated that collective effects are crucial for describing experimental data near the $N=Z$ line without invoking explicit beyond-Coulomb isospin symmetry-breaking corrections. We also determined the $B(E2\downarrow)$ values for odd-odd $T_z=0$ nuclei $^{70}Br$ and $^{78}Y$ in doubly-blocked configurations. We discussed the requirements for accurately describing isobaric analog states and emphasized how current theoretical results should be interpreted within the study of isospin symmetry across isospin triplets. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_15375 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quadrupole Strength in Isobaric Triplets Backes, B. C. Dobaczewski, J. Muir, D. Nazarewicz, W. Reinhard, P. -G. Bentley, M. A. Wadsworth, R. Nuclear Theory The dependence of the $E2$ matrix elements on isospin projection $T_z$ is linked to the conservation of the isospin symmetry. To study this conjecture, we calculated the ${B(E2: 2^+ \rightarrow 0^+)}$ rates for the even-even $T=1$ mirror nuclei with $42$ $\leq$ $A$ $\leq$ $98$ within nuclear density functional theory, employing the generalized Bohr Hamiltonian, and carrying out angular momentum projection. We demonstrated that collective effects are crucial for describing experimental data near the $N=Z$ line without invoking explicit beyond-Coulomb isospin symmetry-breaking corrections. We also determined the $B(E2\downarrow)$ values for odd-odd $T_z=0$ nuclei $^{70}Br$ and $^{78}Y$ in doubly-blocked configurations. We discussed the requirements for accurately describing isobaric analog states and emphasized how current theoretical results should be interpreted within the study of isospin symmetry across isospin triplets. |
| title | Quadrupole Strength in Isobaric Triplets |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2505.15375 |