Neutron Fluctuations

CHAPTER FOUR

SPECIAL PROBABILITIES

Contents

4.1 Preliminaries

4.2 The Probability of the Number of Absorptions

4.3 Probability of the Number of Detections

4.4 Probability of the Number of Renewals

4.5 Probability of the Number of Multiplications

4.1 Preliminaries

As the considerations so far showed, in branching processes three principal events take place, namely, absorption, renewal and multiplication of particles. Let

denote the number of absorptions (a), renewals (b) and multiplications (m) in the interval [t − u, t], 0 ≤ u ≤ t. In the special case when t ≤ u then n_a(t − u, t) = n_a(t), n_b(t − u, t) = n_b(t) and n_m(t − u, t) = n_m(t) denote ...