Deformation effects on cluster decays of radium isotopes

We systematically investigate the influence of nuclear deformations of the cluster and daughter nuclei on the half-lives of 4He, 8,10Be, 12,14,16C and 16,18,20,22O cluster decays from 210-226Ra. The Wentzel-Kramers-Brillouin (WKB) method and Bohr-Sommerfeld quantization condition with the deformed squared Woods-Saxon and Cosh potentials are used phenomenologically in order to compute the half-lives. The calculations are performed for the spherical cluster and deformed daughter, deformed cluster and spherical daughter and deformed cluster and daughter cases. The half-lives for different orientation angles as well as over all angles are calculated, in order to show the deformation effects on the systems. In cases where the deformation of both cluster and daughter effect the result, it is found that the deformation of the cluster is more important than the deformation of the daughter. Furthermore, it is also found that taking into account the orientation angles of the daughter and cluster also improves the results when compared to experiment. However, the results for a Cosh potential with certain parameters without any deformation are found to be more compatible with both the results obtained by the Coulomb and proximity potential model (CPPM) and the universal formula for cluster decay (UNIV), as well as the experimental values for 4He and 14C decays. The results provide a useful method for estimating the unknown experimental half-lives of possible exotic decays from Ra isotopes.