Finite-temperature infinite matter with effective-field-theory-inspired energy-density functionals

Abstract

Finite-temperature infinite matter is analyzed with the recently introduced effective-fieldtheory(EFT)-inspired YGLO (Yang-Grasso-Lacroix-Orsay) and ELYO (extended Lee-Yang, Orsay) functionals, which are designed to describe very low-density regimes in symmetric (YGLO) and in pure neutron (YGLO and ELYO) matter. The article deals with neutron matter and aims to verify whether the use of these functionals allows us to correctly incorporate finite-temperature effects. We compare our results for some relevant thermodynamical quantities with the corresponding ones computed with a chosen reference ab-initio model, namely the many-body-perturbation-theory scheme. We validate the reliability of both EFT-inspired functionals at least at rather low densities and not too high temperatures and we discuss the effects related to the effective mass. We conclude that, at the present stage, the ELYO functional, having a higher neutron effective mass around saturation (closer to ab-initio values), allows us to describe finite-temperature properties more satisfactorily, in better agreement with ab-initio predictions up to higher densities and temperatures, compared to YGLO.

11 pages, 7 figures

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Cited by in corpus (4)

• Embedding short-range correlations in relativistic density functionals through quasi-deuterons
• Bayesian inference of neutron star crust properties using an ab initio-benchmarked meta-model
• Dynamics of dilute nuclear matter with light clusters and in-medium effects
• Effects of dilute neutron matter on the neutron star crust equation of state