Alpha-like correlations in Ne, comparison of quartetting wave function and THSR approaches

${}^{20}$Ne can be considered as a double-magic ${}^{16}$O core nucleus surrounded by four nucleons, the constituents of an α-like quartet. Similar to other nuclei (${}^{212}$Po, ${}^{104}$Ti, etc.) with a quartet on top of a double-magic core nucleus, significant α-like correlations are expected. Correlations in the ground state of ${}^{20}$Ne are investigated using different approaches. The quartetting wave function approach (QWFA) predicts a large α-like cluster contribution near the surface of the nuclei. The Tohsaki-Horiuchi-Schuck-Röpke (THSR) approach describes α-like clustering in nuclear systems. The results of the QWFA in the Thomas-Fermi and shell-model approximation are compared with THSR calculations for the container model. Results for the α formation probability and the rms radii are shown.