Calculations for Well Deformed Nuclei: Mg and Si
Q. Yuan (School of Nuclear Science and Technology, University of Chinese Academy of Sciences, Beijing, China, CAS Key Laboratory of High Precision Nuclear Spectroscopy, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, China, Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, Huizhou, China); J.G. Li (School of Nuclear Science and Technology, University of Chinese Academy of Sciences, Beijing, China, CAS Key Laboratory of High Precision Nuclear Spectroscopy, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, China, Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, Huizhou, China)
; H.H. Li (School of Nuclear Science and Technology, University of Chinese Academy of Sciences, Beijing, China, CAS Key Laboratory of High Precision Nuclear Spectroscopy, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, China)
We performed ab initio valence-space in-medium similarity renormalization group calculations based on chiral nucleon-nucleon and three-nucleon interactions to study the neutron-rich nuclei around , where the experimental and theoretical evidence point to a rapid transition from spherical to rotational regimes. First, the rotational spectra of $^{40}$Mg, $^{42}$Si, and $^{44}$S are established theoretically, anchored by the calculated E2 transition strength. The results suggest that $^{40}$Mg and $^{42}$Si exhibit large deformations. After that, the erosion of the shell closure, especially the evolutions of shape deformation and the emergence of shape coexistence, are discussed in even-even isotones ranging from $^{40}$Mg to $^{48}$Ca. Finally, the shell evolution of in Mg and Si chains is discussed based on the experimental and predicted excitation energies of low-lying states. The results from our ab initio calculations align well with available experimental data, furnishing essential insights into the structure of neutron-rich nuclei, particularly deformations in the vicinity of $^{40}$Mg and $^{42}$Si.