Linear chain structure of four-$\alpha$ clusters in ${}^{16}$O

Abstract

We investigate the linear-chain configurations of four-$\alpha$ clusters in ${}^{16}$O using a Skyrme cranked Hartree-Fock method and discuss the relationship between the stability of such states and angular momentum. We show the existence of a region of angular momentum (13-18 $\hslash$) where the linear chain configuration is stabilized. For the first time we demonstrate that stable exotic states with a large moment of inertia (${\hslash }^2/2\Theta$ $\sim$ 0.06-0.08 MeV) can exist.

Comments: 4 pages, 6 figure