The quantum second virial coefficient of [sup.3]He at low density in the temperature range 0.005-10 K

The quantum second virial coefficient [B.sub.q] for [sup.3]He is calculated from first principles at low density in the temperature range 0.005-10 K. By "first principles", it is meant that the many-body phase shifts are first determined within the GalitskiiMigdal-Feynman formalism; they a...

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Bibliographic Details
Published inCanadian journal of physics Vol. 95; no. 12; pp. 1208 - 1214
Main Authors Obeidat, O.T. Al, Sandouqa, A.S, Joudeh, B.R, Ghassib, H.B, Hawamdeh, M.M
Format Journal Article
LanguageEnglish
Published NRC Research Press 01.12.2017
Subjects
Equations of state
Mathematical research
Physics research
Quantum mechanics
Thermodynamics
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Summary:The quantum second virial coefficient [B.sub.q] for [sup.3]He is calculated from first principles at low density in the temperature range 0.005-10 K. By "first principles", it is meant that the many-body phase shifts are first determined within the GalitskiiMigdal-Feynman formalism; they are then plugged into the Beth-Uhlenbeck formula for [B.sub.q]. A positive [B.sub.q] corresponds to an overall repulsive interaction; a negative [B.sub.q] represents an overall attractive interaction. The s-wave scattering length [a.sub.o] is calculated quite accurately as a function of the temperature T. The effect of the (low-density) medium on [B.sub.q] is studied. [B.sub.q] is then used to determine the volume of [sup.3]He at the saturation curve. The compressibility is evaluated as a measure of the non-ideality of the system.
ISSN:0008-4204
1208-6045
DOI:10.1139/cjp-2016-0907