The effect of pairing correlation on transfer reaction below the Coulomb barrier is investigated qualitatively and quantitatively using a simplified version of the time-dependent Hartree-Fock+BCS approach. The effect of particle-number symmetry breaking on the description of reaction and dedicated methods to extract one- and two-nucleon transfer probabilities (P₁ₙ and P₂ₙ) in a particle-number symmetry breaking approach are discussed. The influence of pairing is systematically investigated in the ⁴⁰Ca+40,42,44,46,48,50Ca reactions. A strong enhancement of the two-particle transfer probabilities owing to initial pairing correlations is observed. This enhancement induces an increase of the ratio of probabilities P₂ₙ/(P₁ₙ)² compared to the case with no pairing. It is shown that this ratio increases strongly as the center-of-mass energy decreases with a value that could be larger than ten in the deep sub-barrier regime. An analysis of the pair transfer sensitivity to the type of pairing interaction, namely surface, mixed, or volume, used in the theory is made. It is found that the pair transfer is globally insensitive to the type of force and depends mainly on the pairing interaction strength.
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Scamps et al. (2013) studied this question.
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