Search for possible alpha-condensate states in ${}^{20}$Ne

Abstract

The root mean square radii of ${}^{20}$Ne in the short-lived excited states were experimentally deduced for the first time from the analyses of $\alpha$+${}^{20}$Ne diffraction scattering. Differential cross sections of the elastic and inelastic $\alpha$+${}^{20}$Ne scattering in the incident energy range from a few MeV/nucleon up to 100 MeV/nucleon were analyzed by the modified diffraction model. No significant radius enhancement for the members of K${}^{\pi }$ = 0${}_1^{+}$ and K${}^{\pi }$ = 2${}^{-}$ bands in comparison with the ground state was observed. At the same time 20 % radius enhancement was obtained for the K${}^{\pi }$ = 0${}_1^{-}$ band members. Moreover, for the 0${}_2^{+}$ state located above $\alpha$-emission threshold increased radius was observed. This result can speak in favor of possible $\alpha$-condensate structure of the 0${}_2^{+}$ state and can be considered as a possible analog of the famous 7.65-MeV 0${}_2^{+}$ Hoyle state of ${}^{12}$C.

7 pages, 8 figures