# Superfluid effects in collision between systems with small particle number

## TL;DR

This paper investigates superfluid effects in small-particle systems using a simple model, demonstrating that gauge angle fluctuations replicate exact results and proposing a projection method for transfer probabilities.

## Contribution

It introduces a novel projection method to determine transfer probabilities in superfluid systems with small particle numbers, validated against exact solutions.

## Key findings

- Gauge angle fluctuations match exact observable fluctuations.
- The proposed projection method accurately estimates transfer probabilities.
- Superfluid effects significantly influence reactions with few particles.

## Abstract

The interpretation of the new effect of the superfluidity in reactions with small number of particles is discussed in a simple model where the exact solution is accessible. It is find that the fluctuations of observable with the gauge angle reproduce well the exact fluctuations. Then a method of projection is proposed and tested to determine the transfer probabilities between two superfluid systems.