# Lattice evidence that scalar glueballs are small

**Authors:** Ryan Abbott, Daniel C. Hackett, Dimitra A. Pefkou, Fernando Romero-L\'opez, Phiala E. Shanahan

arXiv: 2508.21821 · 2025-09-01

## TL;DR

This study uses lattice field theory to calculate the gravitational form factors of the scalar glueball, revealing it to be significantly smaller than other hadrons, which could aid experimental identification.

## Contribution

First lattice calculation of scalar glueball GFFs, showing its distinct gluonic structure and small size compared to other hadrons.

## Key findings

- Mass radius of 0.263(31) fm for the scalar glueball
- Glueballs have a different gluonic structure than typical hadrons
- Supports the idea that scalar glueballs are smaller than other hadrons

## Abstract

This work reports the first calculation of the gravitational form factors (GFFs) of the scalar glueball, performed via lattice field theory in Yang-Mills theory at a single lattice spacing. The glueball GFFs are compared with those of other hadrons as determined in previous lattice calculations, providing strong indications that glueballs have a different gluonic structure than typical hadronic states. A mass radius of 0.263(31) fm is predicted, supporting previous suggestions that the scalar glueball is significantly smaller than other hadrons. These results point towards a potential smoking-gun characteristic to target by experimental glueball searches.

## Full text

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## Figures

9 figures with captions in the complete paper: https://tomesphere.com/paper/2508.21821/full.md

## References

90 references — full list in the complete paper: https://tomesphere.com/paper/2508.21821/full.md

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Source: https://tomesphere.com/paper/2508.21821