Alpha-like correlations in ²⁰Ne, comparison of quartetting wave function and THSR approaches

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