Triaxial deformation in 10Be

Abstract

The triaxial deformation in $^{10}$Be is investigated using a microscopic $α+α+n+n$ model. The states of two valence neutrons are classified based on the molecular-orbit (MO) model, and the $π$-orbit is introduced about the axis connecting the two $α$-clusters for the description of the rotational bands. There appear two rotational bands comprised mainly of $K^π= 0^+$ and $K^π= 2^+$, respectively, at low excitation energy, where the two valence neutrons occupy $K^π= 3/2^-$ or $K^π= 1/2^-$ orbits. The triaxiality and the $K$-mixing are discussed in connection to the molecular structure, particularly, to the spin-orbit splitting. The extent of the triaxial deformation is evaluated in terms of the electro-magnetic transition matrix elements (Davydov-Filippov model, Q-invariant model), and density distribution in the intrinsic frame. The obtained values turned out to be $γ= 15^o \sim 20^o$.