Vol. 7, Issue 2, Part D (2025)

The decay probability and lifetime of the nuclei are important parameters in determining the nuclear stability. In the gamma transition process of decaying a nucleus, the gamma particle energy is a crucial parameter. In this work the medically important radioactive nucleus, Co, is studied in the context of a thermodynamical nuclear system. The statistical model is executed to obtain the excitation energy, entropy, level density, etc. for Co isotopes (A=50-70) at T= 0.5 MeV. ⁶¹Co is predicted to have a long life time. The E_g reflects the level density parameter values from statistical model calculations and their influence in nuclear stability is discussed. The influence of qadrupole deformation in determining the E_g value is also addressed.