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

Abstract

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