Two-body contributions to the effective mass in nuclear effective interactions

Abstract

Starting from general expressions of well-chosen symmetric nuclear matter quantities derived for both zero- and finite-range effective theories, we derive the contributions to the effective mass. We first show that, independently of the range, the two-body contribution is enough to describe correctly the saturation mechanism but gives an effective mass value around $m^{\ast }/m\simeq 0.4$. Then, we show that the full interaction (by instance, an effective two-body density-dependent term on top of the pure two-body term) is needed to reach the accepted value $m^{\ast }/m\simeq 0.7-0.8$.

arXiv commentMinor typos fixed

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• Approximate self-energy for Fermi systems with large s-wave scattering length: a step towards density functional theory
• Properties of spherical and deformed nuclei using regularized pseudopotentials in nuclear DFT
• Calculations for nuclear matter and finite nuclei within and beyond energy--density--functional theories through interactions guided by effective field theory
• Regularized pseudopotential for mean-field calculations