question_answer 26)

Under certain circumstances, a nucleus can decay by emitting a particle more massive than an a-particle. Consider the following decay processes :                          (a) Calculate the Q values for these decays and determine that both are energetically possible. (b) The Coulomb barrier height for particle emission is 30.0 MeV. What is the barrier height for ? The required data is  

Answer:

(a) The given decay process for is where denotes the nuclear mass. If m represents the atomic mass, then Also, another decay for is (b) The barrier height for a particle is given by where  is the atomic no. of the particle and  is its radius. Similarly  is the atomic number of daughter nucleus and  is its radius. But and where  is nuclear unit radius. Forparticle. Forthe barrier height