Do alpha particle condensates exist in oxygen nuclei?

Nuclei in their lowest energy states (ground state) are composed of neutrons and protons. Two protons and two neutrons in a nucleus can cluster together to form alpha particles. When the nucleus gets nearly enough energy to disintegrate into alpha particles, the alpha particles can arrange themselves in the lowest possible quantum energy level, forming a Bose-Einstein condensate. Examples are the ground state of beryllium-8 and the famous carbon-12 “Hoyle” state, named for Fred Hoyle who first postulated its existence to explain the production of carbon in stars. Could analogous states exist in other isotopes like oxygen-16 and neon-20? Nuclear researchers at Texas A&M University indicated a state analogous to the Hoyle state exists in oxygen-16.