Weak 3He Pairing in 3He-He(II) Mixtures
A.S. Sandouqaa, B.R. Joudehb, M.K. Al-Sugheirc and H.B. Ghassibd
aDepartment of Applied Sciences, Faculty of Engineering Technology, Al-Balqa' Applied University, Amman, Jordan
bApplied Physics Department, Tafila Technical University, Tafila, Jordan
cDepartment of Physics, Hashemite University, Zarqa, Jordan
dDepartment of Physics, University of Jordan, Amman, Jordan
Received: April 22, 2010; revised version: August 9, 2010; in final form: December 23, 2010
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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 3He2 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 K├Ânig and Pobell.
DOI: 10.12693/APhysPolA.119.807
PACS numbers: 67.60.-g, 67.60.G-, 67.60.Fp