Ab initio and phenomenological studies of the static response of neutron matter

Abstract

We investigate the problem of periodically modulated strongly interacting neutron matter. We carry out ab initio non-perturbative auxiliary-field diffusion Monte Carlo calculations using an external sinusoidal potential in addition to phenomenological two- and three-nucleon interactions. Several choices for the wave function ansatz are explored and special care is taken to extrapolate finite-sized results to the thermodynamic limit. We perform calculations at various densities as well as at different strengths and periodicities of the one-body potential. Our microscopic results are then used to constrain the isovector term from energy-density functional theories of nuclei at many different densities, while making sure to separate isovector contributions from bulk properties. Lastly, we use our results to extract the static density-density linear response function of neutron matter at different densities. Our findings provide insights into inhomogeneous neutron matter and are related to the physics of neutron star crusts and neutron-rich nuclei.

11 pages, 15 figures; 1 figure added; v2 corresponds to published version

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Cited by in corpus (19)

• Quantum Monte Carlo Methods in Nuclear Physics: Recent Advances
• Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions
• Properties of nuclei up to $A=16$ using local chiral interactions
• Neutron star crusts from mean field models constrained by chiral effective field theory
• New Ideas in Constraining Nuclear Forces
• Trends of Neutron Skins and Radii of Mirror Nuclei from First Principles
• Skyrme functional with tensor terms from \textit{ab initio} calculations of neutron-proton drops
• Non-perturbative Extraction of the Effective Mass in Neutron Matter
• Nuclear energy density functionals grounded in ab initio calculations
• Static response, collective frequencies and ground state thermodynamical properties of spin saturated two-component cold atoms and neutron matter
• Incorporating Brueckner-Hartree-Fock correlations in the Density Matrix Expansion approach
• Lee-Yang-inspired energy-density functional including contributions from $p$-wave scattering
• Approximate self-energy for Fermi systems with large s-wave scattering length: a step towards density functional theory
• Satisfying the compressibility sum rule in neutron matter
• Finite-temperature infinite matter with effective-field-theory-inspired energy-density functionals
• Perturbed nuclear matter studied within Density Functional Theory with a finite number of particles
• Neutron matter at the interface(s): static response and effective mass
• Skyrme-based extrapolation for the static response of neutron matter
• The Role of Ab Initio Beta-Decay Calculations in Light Nuclei for Probes of Physics Beyond the Standard Model