Cluster radioactivity in ¹¹⁴Ba in the HFB theory

Cluster radioactivity in $^{114}$Ba is described as a spontaneous fission with a large mass asymmetry within the self-consistent HFB theory. A new fission valley with large octupole deformation is found in the potential energy surface. The fragment mass asymmetry of this fission mode corresponds to the expected one in cluster radioactivity with the emission of $^{16}$O predicted with a very long half-life.