Open problems in theory of nuclear open quantum systems

TL;DR

This paper discusses open problems in the theory of nuclear open quantum systems, focusing on the continuum shell-model approach and its role in understanding nuclear structure, reactions, and decays.

Contribution

It highlights key unresolved issues and questions in connecting nuclear structure with reaction dynamics through the continuum shell-model framework.

Findings

Identifies the link between branch point singularities and cluster states.

Examines the impact of continuum coupling on nuclear states.

Proposes future steps for unifying nuclear structure and reactions.

Abstract

Is there a connection between the branch point singularity at the particle emission threshold and the appearance of cluster states which reveal the structure of a corresponding reaction channel? Which nuclear states are most impacted by the coupling to the scattering continuum? What should be the most important steps in developing the theory that will truly unify nuclear structure and nuclear reactions? The common denominator of these questions is the continuum shell-model approach to bound and unbound nuclear states, nuclear decays, and reactions.