Alpha-like clustering in ${}^{20}$Ne from a quartetting wave function approach

Abstract

Quartetting ($\alpha$-like clustering) occurs in low density matter ($\le 0.03$ fm${}^{-3}$) which exists, e.g., at the surface of nuclei. It is of interest for the $\alpha$ preformation to calculate the $\alpha$ decay of heavy nuclei such as ${}^{212}$Po, but also in light nuclei (e.g., ${}^{20}$Ne) which shows strong signatures of quartetting. We analyze the intrinsic structure of the $\alpha$-like cluster and the center of mass motion of the quartet, in particular the role of Pauli blocking. The Thomas-Fermi model for the (daughter) core nucleus is improved introducing quasiparticle nucleon states. Calculations performed for harmonic oscillator basis states show that the effective potential for the quartet center of mass motion remains nearly constant within the core nucleus. The relation to the THSR (Tohsaki-Horiuchi-Schuck-Röpke) approach is discussed.

26 pages, 9 figures

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Cited by in corpus (9)

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• Alpha Clustering from the Quartet Model
• Characterizing nuclear modification effects in high-energy O-O collisions at energies available at the CERN Large Hadron Collider: A transport model perspective
• Resonant and Scattering States in the $\alpha +\alpha$ System from the Non-Localized Cluster Model
• Cluster-Daughter Overlap as a New Probe of Alpha-Cluster Formation in Medium-Mass and Heavy Even-Even Nuclei
• Dynamics of identified particles production in oxygen-oxygen collisions at \sqrt{s_{\mathrm{NN}} = 7 TeV using EPOS4
• Three-Dimensional Approach Applied to Quasi-stationary States of Deformed $\alpha$-Emitters
• Quartetting Wave Function Approach to ${}^{20}$Ne: Shell Model and Local Density Approximation