# The few scales of nuclei and nuclear matter

## TL;DR

This paper explores how low-energy nuclear observables and nuclear matter properties scale with the triton binding energy, revealing correlations that extend from light nuclei to nuclear matter saturation characteristics.

## Contribution

It extends known correlations to light nuclei and nuclear matter, proposing a unified scaling framework based on the triton binding energy.

## Key findings

- Evidence of scaling between light nuclei binding energies and the triton.
- Correlation between nuclear matter saturation properties and the triton binding energy.
- Indication of a band structure in nuclear matter calculations representing these correlations.

## Abstract

The well-known correlations of low-energy three and four-nucleon observables with a typical three-nucleon scale (e.g., the Tjon line) is extended to light nuclei and nuclear matter. Evidence for the scaling between light nuclei binding energies and the triton one are pointed out. We argue that the saturation energy and density of nuclear matter are correlated to the triton binding energy. The available systematic nuclear matter calculations indicate a possible band structure representing these correlations.