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

Abstract

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 achieved by using a density--dependent neutron-neutron scattering length $a(\rho$) which satisfies the low--density limit (for Fermi momenta going to zero) and has a density dependence tuned in such a way that the low--density constraint $|a(\rho )k_F|\le 1$ is satisfied at all density scales.

5 figures

References in corpus (7)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Equation of state of superfluid neutron matter and the calculation of ${}^1{S}_0$ pairing gap
• Quantum Monte Carlo approaches to nuclear and atomic physics
• From dilute matter to the equilibrium point in the energy--density--functional theory
• From resonantly interacting fermions with effective range to neutron matter
• Second--order equation of state with the Skyrme interaction. Cutoff and dimensional regularization with the inclusion of rearrangement terms

Cited by in corpus (16)

• Towards an ab initio covariant density functional for nuclear structure
• Effective density functionals beyond mean field
• Energy-density functionals inspired by effective-field theories: Applications to neutron drops
• The effect of the energy functional on the pasta-phase properties of catalysed neutron stars
• Cold Atom Quantum Simulator for Dilute Neutron Matter
• Analysis of nuclear structure in a converging expansion scheme
• Do we know how to count powers in pionless and pionful effective field theory?
• Embedding short-range correlations in relativistic density functionals through quasi-deuterons
• Toward a systematic strategy for defining power counting in the construction of the energy density functional theory
• Lee-Yang-inspired energy-density functional including contributions from $p$-wave scattering
• Application of an ab-initio-inspired energy density functional to nuclei: impact of the effective mass and the slope of the symmetry energy on bulk and surface properties
• Employing ternary fission of ${}^{242}$Pu as a probe of very neutron rich matter
• Towards a power counting in nuclear energy-density-functional theories through a perturbative analysis
• Approximate self-energy for Fermi systems with large s-wave scattering length: a step towards density functional theory
• Finite-temperature infinite matter with effective-field-theory-inspired energy-density functionals
• Calculations for nuclear matter and finite nuclei within and beyond energy--density--functional theories through interactions guided by effective field theory