Relate effective three-body interactions to microscopic nuclear-structure interactions

Establish how the effective three-body interactions used in the three-body R-matrix description of true two-proton radioactivity are related to shell-model potentials and superfluid nucleon–nucleon interactions used in nuclear-structure calculations.

Background

The paper contrasts the hyperspherical three-body and three-body R-matrix descriptions of true two-proton radioactivity with its Green-function formalism. Although the three-body R-matrix approach provides improved agreement with measurements, it relies on effective three-body interactions. The microscopic interpretation of these interactions in terms of more conventional shell-model potentials and superfluid nucleon–nucleon pairing interactions remains unresolved, making their relationship an open issue for connecting reaction descriptions with nuclear-structure models.

References

Nevertheless, this description employs effective three-body interactions whose relation to the shell-model potentials and superfluid nucleon-nucleon interactions commonly used in nuclear-structure calculations remains an open question [26].

— Evaluation of Phenomenological Characteristics of the Two-Proton Decay of the 45Fe Nucleus  (2608.20826 - Lyubashevsky et al., 21 Aug 2026) in Introduction, discussion of the three-body R-matrix approach and Ref. [26]