# Microscopic studies on nuclear spin-isospin properties---a personal perspective on covariant density functional theory

## TL;DR

This paper discusses microscopic studies of nuclear spin-isospin properties using covariant density functional theory, highlighting its advantages in describing spin and isospin phenomena and connecting to fundamental theories.

## Contribution

It provides a personal perspective on the application of covariant DFT to nuclear spin-isospin properties and introduces an extit{ab initio} relativistic approach for finite nuclei.

## Key findings

- Covariant scheme effectively describes spin-orbit splitting and pseudospin symmetry.
- Fock terms are crucial for accurate isospin property descriptions.
- Relativistic extit{ab initio} theory links DFT to fundamental nuclear interactions.

## Abstract

Spin and isospin are essential degrees of freedom in nuclear systems, and the relevant studies on their properties play important roles not only in nuclear physics but also in nuclear astrophysics, particle physics, and so on. In this presentation for the IUPAP Young Scientist Prize 2016, I would like to introduce the microscopic studies on nuclear spin-isospin properties in the framework of covariant density functional theory (DFT), by taking a few works that I have been joining in as examples. It is seen that the covariant scheme plays an important role in describing the spin properties in a consistent way, such as the spin-orbit splitting, the pseudospin symmetry, etc. Meanwhile, the Fock terms play important roles in describing the isospin properties fully self-consistently, such as the Gamow-Teller and spin-dipole resonances, the isospin-symmetry-breaking corrections to nuclear superallowed $\beta$ transitions, etc. To connect the covariant DFT to more fundamental theories, an \textit{ab initio} relativistic Brueckner-Hartree-Fock theory for finite nuclei is introduced, and a personal perspective for the coming decade is also illustrated.