Comment on "Efimov States and their Fano Resonances in a Neutron-Rich Nucleus"

TL;DR

This paper discusses how mass asymmetry in a three-body nuclear system affects the formation of resonances, showing that certain virtual states cannot become resonances due to the unchanging analytical structure.

Contribution

It provides a theoretical analysis demonstrating that mass asymmetry does not enable virtual states to turn into resonances in non-Borromean systems without altering energy relations.

Findings

Virtual state poles remain on the negative real axis despite mass asymmetry.

The analytical structure of unitarity cuts remains unchanged with mass asymmetry.

Resonance formation is inhibited by the unaltered unitarity cut structure.

Abstract

By introducing a mass asymmetry in a non-Borromean three-body system, without changing the energy relations, the virtual state pole cannot move from the negative real axis of the complex energy plane (with nonzero width) and become a resonance, because the analytical structure of the unitarity cuts remains the same.