A condition for the Bose-Einstein transition in the superfluid liquid helium

TL;DR

This paper proposes a new condition for Bose-Einstein transition in superfluid helium, involving free neutron pairs, and introduces a model where condensate atoms influence collective and single-particle excitations, leading to a bound neutron pair state.

Contribution

It introduces a novel model of dilute Bose gas with neutron pairs affecting the superfluid transition, linking neutron interactions to Bose-Einstein condensation conditions.

Findings

Neutron pairs mediate attractive interactions in the Bose gas.

Condensate atoms suppress collective modes and promote single-particle excitations.

The lambda transition is characterized by a shift from neutron pair modes to single neutron modes.

Abstract

First, a condition for the Bose-Einstein transition in the superfluid liquid helium is presented due to the creation of a free neutron spinless pairs in a liquid helium and a dilute neutron gas mixture. We proposed a new model of dilute Bose gas, where presence atoms in the condensate is a suppressor for the collective modes as well as a creator for single-particle excitations On other hand, it is shown that the terms, of the interaction between the excitations of the Bose gas and the density modes of the neutron, meditate an attractive interaction via the neutron modes, which in turn leads to a bound state on a spinless neutron pair. The lambda transition is defined by a condition for the Bose-Einstein transition, which transforms reflected neutron pair modes to single neutron modes.