Inter-band B(E1) Strengths in Heavy Nuclei based on the Proxy-SU(3) Scheme
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909753127469056 |
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| author | Restrepo, Alejandro Valencia, José P. |
| author_facet | Restrepo, Alejandro Valencia, José P. |
| contents | Rotational bands of positive and negative parity are frequently found experimentally in heavy deformed even-even nuclei along with their corresponding $E2$ intra-band and $E1$ inter-band transitions. In $SU(3)$ symmetry-based models, calculating the $B(E2)$ strengths is relatively straightforward due to the relation between the $E2$ operator and the quadrupole generator of the algebra. However, calculating the $B(E1)$ strengths is a more difficult task, requiring computations involving the shell-model expansion of the dipole operator and multi-shell matrix elements. In this work the $E1$ operator is expanded in $SU(3)$ second quantization and applied to calculate the inter-band $B(E1)$ strengths of the isotope $^{224}$Th using the semi-microscopic algebraic quartet model (SAQM) based on the recently proposed proxy-$SU(3)$ scheme. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_04679 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Inter-band B(E1) Strengths in Heavy Nuclei based on the Proxy-SU(3) Scheme Restrepo, Alejandro Valencia, José P. Nuclear Theory Rotational bands of positive and negative parity are frequently found experimentally in heavy deformed even-even nuclei along with their corresponding $E2$ intra-band and $E1$ inter-band transitions. In $SU(3)$ symmetry-based models, calculating the $B(E2)$ strengths is relatively straightforward due to the relation between the $E2$ operator and the quadrupole generator of the algebra. However, calculating the $B(E1)$ strengths is a more difficult task, requiring computations involving the shell-model expansion of the dipole operator and multi-shell matrix elements. In this work the $E1$ operator is expanded in $SU(3)$ second quantization and applied to calculate the inter-band $B(E1)$ strengths of the isotope $^{224}$Th using the semi-microscopic algebraic quartet model (SAQM) based on the recently proposed proxy-$SU(3)$ scheme. |
| title | Inter-band B(E1) Strengths in Heavy Nuclei based on the Proxy-SU(3) Scheme |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2405.04679 |