Exploring the role of intermediate nucleus spectrum on pairing enhancement in a two-nucleon transfer process

While forming an ( A +2) nucleus from a nucleus A via a two-neutron transfer reaction, pairing through the continuum of the intermediate ( A +1) nucleus causes the constructive interference of the many possible reaction channels resulting in significant pairing enhancement of cross-sections. This work analyses the situation in more generality, from the point of view of a varying pairing field and different continua leading to the formation of ( A +2) nucleus. I consider ⁶ 6 He and ²² 22 C, described as housing two-neutrons in orbitals of ⁵ 5 He and ²¹ 21 C, respectively. The different possible situations examined here (including hypothetically bound nuclear systems) manifest that the continuum correlations are extremely crucial to the extension of the pairing enhancement observed in the system.