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arXiv · 2501.10925

Typical new spherical-like $\gamma$-soft spectra in $^{104,106,108}$Pd

Tao Wang
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Abstract

To solve the Cd puzzle (spherical nucleus puzzle), I have proposed a new spherical-like $\gamma$-soft nucleus. Since shape coexistence often occurs in such nuclei, explicit spherical-like $\gamma$-soft spectra are not easily identified. In this paper, I finally find the direct evidence for the existence of the new spherical-like $\gamma$-soft nucleus. $^{106}$Pd is in fact a typical spherical-like $\gamma$-soft nucleus. The low-lying parts, up to the $10_{1}^{+}$ state, under 4000 keV, of the spherical-like $\gamma$-soft spectra are verified. The B(E2) values and the quadrupole moments of the low-lying levels are also studied. By comparison, the new spherical-like $\gamma$-soft mode is confirmed. Moreover $^{104,108}$Pd are also discussed. These results completely disprove the possibility of the phonon excitations of the spherical nucleus in the Cd-Pd nuclei region.

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Tao Wang. 2025-01-19. Typical new spherical-like $\gamma$-soft spectra in $^{104,106,108}$Pd. https://arxiv.org/abs/2501.10925

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