Abstract
We analyze two-neutron transfers in nuclei within a mean-field approach. We first show that the response associated with pairing excitations can be affected by the surface/volume localization of the employed effective pairing interaction. Then, ground-state-to-ground-state transitions are studied and some improvements on the currently used theoretical formulas are discussed. Finally, Cr isotopes at the drip line are analyzed. The analysis of pair-transfer reactions in these nuclei may improve our understanding of two aspects: the spatial distibution of pairing correlations in nuclei and the debated question of the persistence of pairing at the drip lines.
Highlights
Bogoliubov (HFB) + quasiparticle random-phase approximation (QRPA) theory to investigate the properties of the 0+ [7] and 2+ [8] excitation modes associated to 2n addition or removal during transfer reactions
If variation is made after projection (VAP), it is anticipated that the strength will increase compared to the projection ismade here after variation (PAV) both at mid-shell and at shell-closure due to the enhanced fragmentation of single-particle states and due to the absence of pairing threshold anomaly, leading to pairing even in close shell nuclei
In the first part of the manuscript we have considered transfers from the ground state of the initial nucleus to an excited state of the final nucleus
Summary
Bogoliubov (HFB) + quasiparticle random-phase approximation (QRPA) theory to investigate the properties of the 0+ [7] and 2+ [8] excitation modes associated to 2n addition or removal during transfer reactions. Microscopic quasiparticle randomphase approximation (QRPA) calculations for the 0+ [10] and the 2+ [8] pair-transfer modes have been performed and it has been shown that the transition densities depend on the different choices of the pairing interaction in terms of surface/volume mixing. The form factor is obtained by folding the transition density with the interaction between the transferred pair and the residual nucleus. We suggest very neutron-rich Sn isotopes and proton energies around 15 MeV as favorable cases for future (p, t) or (t, p) pair-transfer experiments that can provide a deeper insight into the surface/volume character of the pairing interaction. This improved formalism with respect to that of Ref. [13] leads to expressions where the wave functions of the initial and the final nucleus appear
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