# Nuclear states and spectra in holographic QCD

## TL;DR

This paper introduces a holographic QCD approach using a matrix model to study nuclear states, successfully reproducing spectra and properties of baryons and nuclei, aligning well with experimental data.

## Contribution

It presents a novel matrix model method in holographic QCD for describing nuclear states and spectra, including hyperons and dibaryons, with results matching experimental observations.

## Key findings

- Eigenstates match known nuclear and baryonic states
- Spectra agree with experimental data for small baryon numbers
- Partial explanation of magic numbers in light nuclei

## Abstract

A new method to study nuclear physics via holographic QCD is proposed. Multiple baryons in the Sakai-Sugimoto background are described by a matrix model which is a low energy effective theory of D-branes of the baryon vertices. We study the quantum mechanics of the matrix model and calculate the eigenstates of the Hamiltonian. The obtained states are found to coincide with known nuclear and baryonic states, and have appropriate statistics and charges. Calculated spectra of the baryon/nucleus for small baryon numbers show good agreement with experimental data. For hyperons, the Gell-Mann--Okubo formula is approximately derived. Baryon resonances up to spin $5/2$ and isospin $5/2$ and dibaryon spectra are obtained and compared with experimental data. The model partially explains even the magic numbers of light nuclei, $N=2,8$ and $20$.