Structural Stability and Level Density of Hot Rotating Doubly Magic Isotopes of Calcium

Abstract

the recently reported doubly-magic nuclei 52 Ca and 54 Ca are discussed in comparison with the other magic isotopes of Calcium. the temperature effect is included in this study and hence the statistical approach to obtain the particle emission and level density are discussed in the context of temperature effect. We predict an increase in neutron emission for 54 Ca due to the abrupt decrease in neutron separation energy around t=0.4MeV. Since the drop in the separation energy is closely associated with the structural changes in the rotating nuclei, relative increase in neutron emission probability around certain values of temperature may be construed as evidence for the shape transition. Such effects are not obtained for 40,48,52 Ca isotopes. hence this statistical study reveals the higher stability of magic nature of 52 Ca than 54 Ca, against temperature.