Weak ^{3}He Pairing in ^{3}He-He(II) Mixtures

• Authors: A. Sandouqa , B. Joudeh , M. Al-Sugheir , H. Ghassib
• Languages of publication: EN

Abstracts

EN

In this paper a theoretical study of a possible phase transition in dilute ^3He-He(II) mixtures is presented using the Galitskii-Migdal-Feynman formalism. The effective scattering length is calculated from the Galitskii-Migdal-Feynman T-matrix, which is essentially the effective scattering amplitude dependent on the medium. It is found that at very low ^3He concentrations the s-wave effective scattering length for ^3He-He(II) varies discontinuously from positive to negative values at some critical concentration. This indicates a crossover from a regime with dimers to another with the Cooper pairs. The binding energy of the weakly-bound dimers ^3He_2 is computed. The effective p-wave scattering lengths are calculated and compared to the effective s-wave scattering lengths at low and high concentrations. It is found that p-scattering has an important effect on the instability of these mixtures at concentrations x > 1%. Finally, the transport coefficients are computed and compared to the theoretical predictions of Fu and Pethick and the experimental results of König and Pobell.

Keywords

EN

67.60.-g; 67.60.G-; 67.60.Fp

Discipline

• 67.60.-g: Mixtures of 3He and 4He
• 67.60.Fp: Bose-Fermi mixtures
• 67.60.G-: Solutions of 3He in liquid 4He

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2011
• Volume: 119
• Issue: 6
• Pages: 807-813

Dates

published

2011-06

received

2010-04-22

(unknown)

2010-08-09

(unknown)

2010-12-23

Contributors

author

A. Sandouqa

• Department of Applied Sciences, Faculty of Engineering Technology, Al-Balqa' Applied University, Amman, Jordan

author

B. Joudeh

• Applied Physics Department, Tafila Technical University, Tafila, Jordan

author

M. Al-Sugheir

• Department of Physics, Hashemite University, Zarqa, Jordan

author

H. Ghassib

• Department of Physics, University of Jordan, Amman, Jordan

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Identifiers

DOI

10.12693/APhysPolA.119.807