https://doi.org/10.1140/epja/s10050-023-01118-0
Regular Article - Theoretical Physics
Shell-model calculations for two-neutron transfer near the 
island of inversion
Department of Physics, University of Connecticut, 196 Auditorium Road, 06269-3046, Storrs, CT, USA
Received:
26
June
2023
Accepted:
23
August
2023
Published online:
11
September
2023
We describe connections between shell-model calculation results and predictions for two-nucleon transfer reactions. Measurements of the 
Mg(t,p)
Mg reaction were used to identify a low-lying shape-coexisting 0
state in Mg. Interpretations of those early, limited data were based on simple empirical models. The cross sections for two-nucleon transfer are, however, extremely sensitive to the details of the nuclear-structure. Motivated by the possibility of new high-resolution two-nucleon transfer measurements around the Island of Inversion, we have performed shell-model calculations wave functions for states in the nuclei 
Mg using the SDPF-M and SDPF-MU interactions, and from those calculations obtain the two-nucleon transfer amplitudes that we use to predict cross sections for the 
Mg(t,p)Mg reactions. The combined results show how the nuclear structure properties influence experimental observables for the (t,p) reaction. We compare our results with the existing data.
© The Author(s) 2023
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