Shape transition of Nd and Sm isotopes and the neutrinoless double-<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>β</mi></math>-decay nuclear matrix element of <math xmlns="http://www.w3.org/1998/Math/MathML"><mmultiscripts><mi>Nd</mi><mprescripts></mprescripts><none></none><mn>150</mn></mmultiscripts></math>

Yusuke Tsunoda; Noritaka Shimizu; Takaharu Otsuka

doi:10.1103/PhysRevC.108.L021302

Letter

Shape transition of Nd and Sm isotopes and the neutrinoless double- $β$ -decay nuclear matrix element of ${}^{150}{Nd}$

Yusuke Tsunoda

Noritaka Shimizu ^*

Takaharu Otsuka

Center for Computational Sciences, University of Tsukuba, 1-1-1 Tennodai, Tsukuba 305-8577, Japan

Center for Computational Sciences, University of Tsukuba, 1-1-1 Tennodai, Tsukuba 305-8577, Japan and Center for Nuclear Study, The University of Tokyo, 7-3-1 Hongo, Tokyo 113-0033, Japan

Department of Physics, The University of Tokyo, 7-3-1 Hongo, Tokyo 113-0033, Japan; RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan; and Advanced Science Research Center, Japan Atomic Energy Agency, Tokai, Ibaraki 319-1195, Japan

^*shimizu@nucl.ph.tsukuba.ac.jp

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Phys. Rev. C 108, L021302 – Published 23 August, 2023Erratum Phys. Rev. C 111, 039902 (2025)

DOI: https://doi.org/10.1103/PhysRevC.108.L021302

Abstract

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 because they are the parent and daughter nuclei of double- $β$ decay. We performed large-scale shell-model calculations of even-even Nd and Sm isotopes, including the spherical-deformed shape transition. The quasiparticle 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 nonyrast states. The nuclear matrix element of neutrinoless double- $β$ decay of ${}^{150}{Nd}$ is evaluated showing its modest enhancement by shape mixing.

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Erratum

Erratum: Shape transition of Nd and Sm isotopes and the neutrinoless double- $β$ -decay nuclear matrix element of ${}^{150}{Nd}$ [Phys. Rev. C 108, L021302 (2023)]

Yusuke Tsunoda, Noritaka Shimizu, and Takaharu Otsuka

Phys. Rev. C 111, 039902 (2025)

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Shape transition of Nd and Sm isotopes and the neutrinoless double- $β$ -decay nuclear matrix element of ${}^{150}{Nd}$

Abstract

Physics Subject Headings (PhySH)

Erratum

Erratum: Shape transition of Nd and Sm isotopes and the neutrinoless double- $β$ -decay nuclear matrix element of ${}^{150}{Nd}$ [Phys. Rev. C 108, L021302 (2023)]

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Shape transition of Nd and Sm isotopes and the neutrinoless double-β-decay nuclear matrix element of Nd150

Abstract

Physics Subject Headings (PhySH)

Erratum

Erratum: Shape transition of Nd and Sm isotopes and the neutrinoless double-β-decay nuclear matrix element of Nd150 [Phys. Rev. C 108, L021302 (2023)]

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Shape transition of Nd and Sm isotopes and the neutrinoless double- $β$ -decay nuclear matrix element of ${}^{150}{Nd}$

Erratum: Shape transition of Nd and Sm isotopes and the neutrinoless double- $β$ -decay nuclear matrix element of ${}^{150}{Nd}$ [Phys. Rev. C 108, L021302 (2023)]