Pair-correlation properties and momentum distribution of finite number of interacting trapped bosons in three dimension

TL;DR

This paper investigates the ground state pair-correlation and momentum distribution of a finite, weakly interacting trapped Bose gas in three dimensions using a correlated many-body approach, incorporating realistic interactions and trapping potentials.

Contribution

It introduces a realistic many-body method with van der Waals interactions to analyze correlation properties of finite trapped bosons, testing the shape-independent approximation.

Findings

Realistic pair-correlation functions obtained.

Validation of shape-independent approximation.

Insights into momentum distribution of trapped bosons.

Abstract

We study the ground state pair-correlation properties of a weakly interacting trapped Bose gas in three dimension by using a correlated many-body method. Use of the van der Waals interaction potential and an external trapping potential shows realistic features. We also test the validity of shape-independent approximation in the calculation of correlation properties.