Shape transition of Nd and Sm isotopes and neutrinoless double-beta decay nuclear matrix element of $^{150}$Nd
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| Format: | Preprint |
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2023
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| _version_ | 1866914685271408640 |
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| author | Tsunoda, Yusuke Shimizu, Noritaka Otsuka, Takaharu |
| author_facet | Tsunoda, Yusuke Shimizu, Noritaka Otsuka, Takaharu |
| contents | Neutron-rich Nd and Sm isotopes are known to exhibit shape phase transition as a function of neutron number. Among them, $^{150}$Nd and $^{150}$Sm are important not only because they are transitional nuclei, but also the parent and daughter nuclei of double-beta decay. We performed large-scale shell-model calculations of even-even Nd and Sm isotopes including the spherical-deformed shape transition. The quasi-particle vacua shell model enables us to perform shell-model calculations with sufficiently large model space with the $^{110}$Zr inert core. The shell-model result well reproduces the experimental excitation energies and quadrupole properties of the yrast and non-yrast states. The nuclear matrix element of neutrinoless double-beta decay of $^{150}$Nd is evaluated showing its modest enhancement by shape mixing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_11780 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Shape transition of Nd and Sm isotopes and neutrinoless double-beta decay nuclear matrix element of $^{150}$Nd Tsunoda, Yusuke Shimizu, Noritaka Otsuka, Takaharu Nuclear Theory Neutron-rich Nd and Sm isotopes are known to exhibit shape phase transition as a function of neutron number. Among them, $^{150}$Nd and $^{150}$Sm are important not only because they are transitional nuclei, but also the parent and daughter nuclei of double-beta decay. We performed large-scale shell-model calculations of even-even Nd and Sm isotopes including the spherical-deformed shape transition. The quasi-particle vacua shell model enables us to perform shell-model calculations with sufficiently large model space with the $^{110}$Zr inert core. The shell-model result well reproduces the experimental excitation energies and quadrupole properties of the yrast and non-yrast states. The nuclear matrix element of neutrinoless double-beta decay of $^{150}$Nd is evaluated showing its modest enhancement by shape mixing. |
| title | Shape transition of Nd and Sm isotopes and neutrinoless double-beta decay nuclear matrix element of $^{150}$Nd |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2304.11780 |