$\alpha$ Clustering slightly above ${}^{100}$Sn in the Light of the New Experimental Data on the Superallowed $\alpha$ Decay

Abstract

The recently observed $\alpha$-decay chain ${}^{108}\text{Xe}\to {}^{104}\text{Te}\to {}^{100}\text{Sn}$ [K.~Auranen \emph{et al.}, Phys.\ Rev.\ Lett.\ {\bf121}, 182501 (2018)] could provide valuable information on the $\alpha$ clustering in even-even nuclei slightly above the major shells $Z=50$ and $N=50$. In this work, this $\alpha$-decay chain is studied theoretically within the framework of the density-dependent cluster model plus the two-potential approach. We calculate the $\alpha$-decay half-lives of ${}^{104}$Te and ${}^{108}$Xe and study in detail their dependence on the $Q$ value and the density-profile parameters of the core nucleus. Various physical properties of ${}^{104}$Te, the heaviest nucleus with a doubly magic self-conjugate core $+$ $\alpha$, are calculated, with two different assumptions on the renormalization factor of the double-folding potential, which could be a useful reference for future experimental studies.

13 pages, 2 figures; accepted version

References in corpus (8)

• Alpha Decay in the Complex Energy Shell Model
• Super-allowed alpha-decay above doubly-magic 100Sn and properties of 104Te = 100Sn otimes alpha
• Half-lives of $\alpha$-emitters approaching the N=Z line
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• Cluster-Daughter Overlap as a New Probe of Alpha-Cluster Formation in Medium-Mass and Heavy Even-Even Nuclei
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Cited by in corpus (8)

• Alpha Clustering from the Quartet Model
• $\alpha$-cluster structure above double-shell closures and $\alpha$-decay of ${}^{104}$Te
• Resonant and Scattering States in the $\alpha +\alpha$ System from the Non-Localized Cluster Model
• $\alpha$-cluster structures above double shell closures via double-folding potentials from chiral effective field theory
• Nonlinear Schrodinger Equation Solitons on Quantum Droplets
• Search for the $\alpha$ + core structure in the ground state bands of $22\le Z\le 42$ even-even nuclei
• $\alpha$ + core structure described with an additional interaction in the nuclear matter saturation region
• Matrix-product state approach to the generalized nuclear pairing Hamiltonian