# Boson star with particle size effects

## TL;DR

This paper models boson stars as quantum systems of self-gravitating particles, incorporating particle size effects through a truncated Coulomb potential, and explores the conditions under which small mass boson stars can be described non-relativistically.

## Contribution

It introduces a non-relativistic model of boson stars that accounts for particle size effects using envelope theory and analyzes how these effects influence star properties.

## Key findings

- Mass and radius depend strongly on particle size parameter.
- Small mass boson stars can be described non-relativistically if boson mass is small.
- Envelope theory provides approximate analytical results for the model.

## Abstract

A simple model to study boson stars is to consider these stellar objects as quantum systems of $N$ identical self-gravitating particles within a non-relativistic framework. Some results obtained with point-like particles are recalled as well as the validity limits of this model. Approximate analytical calculations are performed using envelope theory for a truncated Coulomb-like potential simulating a particle size. If the boson mass is sufficiently small, the description of small mass boson stars is possible within non-relativistic formalism. The mass and radius of these stellar objects are strongly dependent on the value of the truncation parameter.