On the Q-ball Profile Function

TL;DR

This paper combines analytic and numerical techniques to solve the Q-ball equation of motion, demonstrating that the Q-ball's profile function can be well approximated by a symmetrized Woods-Saxon distribution.

Contribution

It introduces an accurate approximation of the Q-ball profile function using the symmetrized Woods-Saxon distribution, enhancing understanding of Q-ball structures.

Findings

The Q-ball profile function is well approximated by the symmetrized Woods-Saxon distribution.

Analytic and numerical methods effectively solve the Q-ball equation of motion.

The approximation improves modeling of Q-balls in theoretical physics.

Abstract

We use analytic and numerical methods to obtain the solution of the Q-ball equation of motion. In particular, we show that the profile function of the three-dimensional Q-ball can be accurately approximated by the symmetrized Woods-Saxon distribution.