On Pair-Particle Distribution in Imperfect Bose Gas
A. A. Shanenko

TL;DR
This paper introduces a model to estimate the radial distribution function of an imperfect Bose gas in the ground state, considering interactions and external fields, with applications to dilute gases.
Contribution
It presents a novel integro-differential equation approach to analyze the spatial distribution of bosons in an imperfect Bose gas, including dilute regimes.
Findings
Model effectively describes boson distribution in external fields.
Applicable to dilute Bose gases with hard sphere interactions.
Provides a framework for future studies of imperfect Bose systems.
Abstract
A simple model of estimating the radial distribution function of an imperfect Bose gas in the ground state is presented. The model is based on integro-differential equations derived by considering the space boson distribution in an external field. With the approach proposed, the particular case of dilute Bose gas is investigated within the hard sphere approximation and beyond.
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