One-dimensional $α$ condensation of $α$-linear-chain states in ${^{12}{\rm C}}$ and ${^{16}{\rm O}}$

Abstract

We present a new picture that the $α$-linear-chain structure for ${^{12}{\rm C}}$ and ${^{16}{\rm O}}$ has one-dimensional $α$ condensate character. The wave functions of linear-chain states which are described by superposing a large number of Brink wave functions have extremely large overlaps of nearly $100\%$ with single Tohsaki-Horiuchi-Schuck-Röpke (THSR) wave functions, which were proposed to describe the $α$ condensed "gas-like" states. Although this new picture is different from the conventional idea of the spatial localization of $α$ clusters, the density distributions are shown to have localized $α$-clusters which is due to the inter-$α$ Pauli repulsion.

5 pages, 5 figures