Question
What is reciprocity theorem of nuclear reactions? Obtain its mathematical expression. Rewrite the reciprocity theorem considering the spin of all the involved nuclei.
Answer :
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The reciprocity theorem in nuclear reactions states that the cross-section of a nuclear reaction in one direction is related to the cross-section of the inverse reaction. If a projectile (a) strikes a target (A) producing products (b) and (B), i.e., [ A(a,b)B ] then the inverse reaction is [ B(b,a)A ] The theorem ensures that the probability of the forward reaction and the inverse reaction are connected by the kinematic factors and statistical weights. Mathematically, without considering spin, the reciprocity theorem is expressed as: [ \sigma_{A(a,b)B} \cdot v_a \cdot
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