Enhancement factor for two-neutron transfer reactions with a schematic coupled-channels model

Original · EN

Probabilities for two-neutron transfer reactions, P 2n, are often discussed in comparison with the square of the corresponding probabilities for one-neutron transfer process, (P 1n)², implicitly assuming that (P 1n)² provides the probability of two-neutron transfer reactions in the absence of the pairing correlation. We use a schematic coupled-channels model, in which the transfers are treated as effective inelastic channels, and demonstrate that this model leads to P 2n=(P 1n)²/4, rather than P 2n=(P 1n)², in the pure sequential limit. We argue that a simple model with spin-up and spin-down neutrons in a single-particle orbital also leads to the same conclusion.