Abstract
In Landau theory of Fermi liquids, the particle–hole interaction near the Fermi energy in different spin–isospin channels is probed in terms of an expansion over the Legendre polynomials. This provides a useful and efficient way to constrain properties of nuclear energy density functionals in symmetric nuclear matter and finite nuclei. In this study, we present general expressions for Landau parameters corresponding to a two-body central local regularized pseudopotential. We also show results obtained for two recently adjusted NLO and N2LO parametrizations. Such pseudopotentials will be used to determine mean-field and beyond-mean-field properties of paired nuclei across the entire nuclear chart.
Highlights
The study of low-energy properties of atomic nuclei has progressed both theoretically and experimentally during the last 50 years
In the following we consider the NLO and N2LO local regularized pseudopotentials as in Eq (5), supplemented by the contact term given by Eq (22), and we show
We presented general expressions for Landau parameters expressed in terms of Fourier transform of a general two-body central regularized pseudopotential, and we specified them to the case of local NLO and N2LO pseudopotentials
Summary
The study of low-energy properties of atomic nuclei has progressed both theoretically and experimentally during the last 50 years. The three-body term was replaced by a density-dependent term [4], allowing to reproduce the empirical values of incompressibility modulus of nuclear matter and quasi-particle effective mass This gave away the Hamiltonian formulation of the model and transformed the interactions into functional generators. A few years ago, in the spirit of the effective theory [12], we have introduced a momentum-dependent pseudopotential that uses finite-range Gaussian regulators [13] This approach has proven to be adequate to reproduce infinite nuclear matter properties (aside from the effective mass, due to the purely two-body nature of the considered pseudopotential), binding energies of closed-shell nuclei [14] and average pairing gaps for open-shell nuclei [15].
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