1/N-expansion for the critical temperature of the Bose gas

We revised the large-N expansion for a three-dimensional Bose system with short-range repulsion in normal phase. Particularly, for the model potential that is characterised only by the s-wave scattering length a the full numerical calculations of the critical temperature in the -approximation as a f...

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Bibliographic Details
Published inEurophysics letters Vol. 118; no. 5; pp. 56003 - 56008
Main Authors Hryhorchak, O., Pastukhov, V.
Format Journal Article
LanguageEnglish
Published Les Ulis EDP Sciences, IOP Publishing and Società Italiana di Fisica 01.06.2017
IOP Publishing
Subjects
67.85.-d
67.85.Bc
Critical temperature
Transition temperature
Wave scattering
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Summary:We revised the large-N expansion for a three-dimensional Bose system with short-range repulsion in normal phase. Particularly, for the model potential that is characterised only by the s-wave scattering length a the full numerical calculations of the critical temperature in the -approximation as a function of the gas parameter are performed. Additionally to the well-known result in the dilute limit we estimated analytically the leading-order strong-coupling behavior of the Bose-Einstein condensation transition temperature. It is shown that the critical temperature shift of the non-ideal Bose gas grows at small , reaches some maximal value and then falls down becoming negative.
Bibliography:publisher-ID:epl18629
istex:3937754C02802B04525BE5451DBF414E33ADB58C
ark:/67375/80W-RZJ0QV5W-J
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/118/56003