Authors: B R Joudeh A S Sandouqa H B Ghassib M K AlSugheir
Publish Date: 2010/08/28
Volume: 161, Issue: 3-4, Pages: 348-366
Abstract
The GalitskiiMigdalFeynman GMF formalism is applied to liquid 3He and for the first time to liquid 4He The effective total diffusion and viscosity cross sections as well as the effective scattering length and the effective range are calculated For liquid 3He it is found that Swave scattering dominates for wave number k05 Å−1 At the Fermi momentum k F the effective partial cross section σ ℓ and thus the total cross section σ T has a singularity virtual state This singularity may be interpreted as a signature of superfluidity or a quasibound state For k2 Å−1 the effective total cross section is nearly constant On the other hand it is found in liquid 4He that Swave scattering dominates for k03 Å−1 and a peak exists in σ T arising from a peak in the effective Dwave cross section This resonance corresponds to a quasibound state trapped by the ℓ=2 centrifugal barrier The most prominent features of our calculations are a resonance and a RamsauerTownsend minimum in the matter cross section at low temperatures This effect is absent in the 3He gas It is therefore a purely manybody effect in liquid 3He With increasing energies the matter results approach the vacuum results This indicates that the highenergy behavior is dominated by the selfenergy contribution the manybody effects can be neglected
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