# Lee-Yang–inspired functional with a density-dependent neutron-neutron scattering length

@article{Grasso2017LeeYanginspiredFW,
title={Lee-Yang–inspired functional with a density-dependent neutron-neutron scattering length},
author={M. Grasso and Denis Lacroix and C. J. Yang},
journal={Physical Review C},
year={2017},
volume={95},
pages={054327}
}
• Published 27 April 2017
• Physics
• Physical Review C
Inspired by the low--density Lee-Yang expansion for the energy of a dilute Fermi gas of density $\rho$ and momentum $k_F$, we introduce here a Skyrme--type functional that contains only $s$-wave terms and provides, at the mean--field level, (i) a satisfactory equation of state for neutron matter from extremely low densities up to densities close to the equilibrium point, and (ii) a good--quality equation of state for symmetric matter at density scales around the saturation point. This is…
11 Citations

## Figures from this paper

Energy-density functionals inspired by effective-field theories: Applications to neutron drops
• Physics
Physical Review C
• 2018
New energy-density functionals (EDFs) inspired by effective-field theories (EFTs) have been recently proposed. The present work focuses on three of such functionals which were developed to produce
Approximate self-energy for Fermi systems with large s-wave scattering length: a step towards density functional theory
• Physics
Journal of Physics G: Nuclear and Particle Physics
• 2019
In the present work, we start from a minimal Hamiltonian for Fermi systems where the s-wave scattering is the only low energy constant at play. Many-Body Perturbative approach that is usually valid
Cold atom quantum simulator for dilute neutron matter
• Physics
International Journal of Modern Physics E
• 2019
The internal structure of neutron stars and the physical properties of nuclei depend on the equation of state (EOS) of neutron matter. Dilute neutron matter is a quantum system of spin-1/2 Fermi
Effective density functionals beyond mean field
• M. Grasso
• Physics
Progress in Particle and Nuclear Physics
• 2019
The effect of the energy functional on the pasta-phase properties of catalysed neutron stars
• Physics
The European Physical Journal A
• 2021
Nuclear pasta, that is an inhomogeneous distribution of nuclear matter characterised by non-spherical clustered structures, is expected to occur in a narrow spatial region at the bottom of the inner
Do we know how to count powers in pionless and pionful effective field theory?
• C.-J. Yang
• Physics
The European Physical Journal A
• 2020
In this article I summarize recent progress in the effective field theory approach to low energy nuclear systems, with a focus on the power counting issue. In the pionless sector, where the power
The scattering length effect on properties of cold interacting Fermion systems in LOCV framework
• Physics
• 2020
The properties of cold interacting Fermi gases in terms of scattering length are investigated. The scattering length is calculated by exact solution of Schrodinger equation. A Cosine hyperbolic pot...
Lee-Yang–inspired energy-density functional including contributions from p -wave scattering
• Computer Science
Physical Review C
• 2020
An extension of the ELYO functional is presented which also accounts for the first $p$-wave term appearing in the low-density expansion from which it derives, and predicts values which are qualitatively consistent with recent observations.