Two-particle binding energy of interacting Bose gases

TL;DR

This paper analyzes the two-particle T-matrix pole in an interacting Bose gas to derive the phase diagram of Bose-Einstein condensation and introduces a new two-particle binding energy concept with potential cosmological implications.

Contribution

It introduces a novel analysis of the two-particle binding energy in Bose gases and links it to BEC and possible dark energy effects.

Findings

Derived the phase diagram of BEC based on the T-matrix pole

Identified a new two-particle binding energy related to BEC

Suggested cosmological implications for dark energy

Abstract

The pole of the two-particle T-matrix including the influence of the surrounding medium is analyzed for an interacting Bose gas. The phase diagram of the Bose -Einstein condensation (BEC) depending on the temperature, density, scattering length, and momentum is derived from this pole. The critical momentum for the occurrence of superfluidity is obtained in this way. As a new observation a two- particle binding energy is reported intimately connected with the occurrence of the BEC. It is suggested that this might have cosmological consequences on the dark energy problem.