2.The decay constant, Ai, for the a transition of 243 Am95 () to the various levels of 239NP93 maybe estimated fromIn 1= 48.4 + 2.97 R½ Z¼ - 3.97 Z/T« - 660o = 0.002la(la+1)where Z is the atomic number of the daughter nucleus, R is the radius of the daughter nucleus infemtometers and approximated by R=1.2XA3, Ta is the kinetic energy of the a - particle inMeV and la is the angular momentum carried by the a- particle.a. Calculate the branching ratio of the 3 transitions.b. Estimate the mean lifetime of the 243Amº55-c. The transition from the 239N%93 () to the state proceeds either directly by gamma emissionor by gamma emission to the state first or by internal conversion of K-electron, with aconversion coefficient of 2. Use Weisskopf estimates to calculate the lifetime of the9-excited state.

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