Abstract
We use structural information from simulations and from variational ground state calculations for calculating the effective mass of 3He at zero temperature. It is found that the relatively large effective mass is due to a combination of several physical effects: Density fluctuations cause an effective mass enhancement due to predominantly hydrodynamic backflow. This effect is, around the Fermi momentum, a smooth function of the single particle wave number; its magnitude is consistent with the effective mass of 4He impurities in 3He. Spin-fluctuations, on the other hand, cause a pronounced peak of the effective mass around the Fermi wave number. We also find, consistent with earlier work, an instability of the single particle spectrum at about 2.5 k F, this is due to the coupling to density fluctuations in the maxon region.
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Krotscheck, E., Springer, J. Physical Mechanisms for Effective Mass Enhancement in 3He. Journal of Low Temperature Physics 132, 281–295 (2003). https://doi.org/10.1023/A:1024896432481
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DOI: https://doi.org/10.1023/A:1024896432481