Single-Particle Spectrum and Specific Heat of LiquidHe3

Abstract

The behavior of the specific heat of liquid ${}_{}{}^3{}_{}{}^{}\mathrm{He}$, over a wide range of temperature, indicates a wiggle in the single-(quasi) particle spectrum $e\mathrm{}\left(k\right)\mathrm{}$ at $k_{\mathrm{F}}$. This wiggle corresponds to the enhancement of the effective mass $m^{*}\mathrm{}\left(k\right)\mathrm{}$ at $k_{\mathrm{F}}$ of current interest in nuclear physics. It can be quantitatively understood from the microscopic Hamiltonian within correlated-basis perturbation theory.