Correlations imposed by the unitary limit between few-nucleon systems, nuclear matter and neutron stars

Abstract

The large values of the singlet and triplet two-nucleon scattering lengths locate the nuclear system close to the unitary limit. This particular position strongly constrains the low-energy observables in the three-nucleon system as depending on one parameter, the triton binding energy, and introduces correlations in the low energy sector of light nuclei. Here we analyze the propagation of these correlations to infinite nuclear matter showing that its saturation properties, the equation of state of $\beta$-stable nuclear matter and several properties of neutron stars, as their maximum mass, are well determined solely by a few number of low-energy quantities of the two- and three-nucleon systems. In this way we make a direct link between the universal behavior observed in the low-energy region of few-nucleon systems and fundamental properties of nuclear matter and neutron stars.

5 pages, 3 figures

References in corpus (8)

• A Massive Pulsar in a Compact Relativistic Binary
• No-core shell model in an effective-field-theory framework
• Equation of state of dense nuclear matter and neutron star structure from nuclear chiral interactions
• Energy spectra of small bosonic clusters having a large two-body scattering length
• Nuclear matter properties from local chiral interactions with $\Delta$ isobar intermediate states
• Ground-state properties of unitary bosons: from clusters to matter
• Implications of Efimov physics for the description of three and four nucleons in chiral effective field theory
• Saturation properties of helium drops from a Leading Order description

Cited by in corpus (29)

• Nuclear effective field theory: status and perspectives
• Progress in Constraining Nuclear Symmetry Energy Using Neutron Star Observables Since GW170817
• Microscopic equation of state of hot nuclear matter for numerical relativity simulations
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Efimov Physics and Connections to Nuclear Physics
• Translating neutron star observations to nuclear symmetry energy via artificial neural networks
• Two- and three-nucleon contact interactions and ground-state energies of light- and medium-mass nuclei
• Naturalness in Nuclear Effective Field Theories
• Energies and radii of light nuclei around unitarity
• A Comprehensive Study of the Three- and Four-Neutron Systems at Low Energies
• Clustering of Four-Component Unitary Fermions
• Effects of Hadron-Quark Phase Transitions in Hybrid Stars within the NJL Model
• Emulating \emph{ab initio} computations of infinite nucleonic matter
• Nuclear Effective Field Theories: Reverberations of the early days
• A Consistency Test of EFT Power Countings from Residual Cutoff Dependence
• From few to many bosons inside the unitary window: a transition between universal to non-universal behavior
• Nuclear Structure at the Crossroads
• From neutron skins and neutron matter to the neutron star crust
• What Can Possibly Go Wrong?
• Nuclear-matter saturation and symmetry energy within $\Delta$--full chiral effective field theory
• Dark matter admixed neutron stars with a realistic nuclear equation of state from chiral nuclear interactions
• Subleading contributions to $N$-boson systems inside the universal window
• Sign-Problem-Free Nuclear Quantum Monte Carlo Simulation
• A Vision for the Science of Rare Isotopes
• Few-Nucleon Systems within Finite-Cutoff Pionless EFT
• Unitary limit and linear scaling of neutrons in harmonic trap with tuned CD-Bonn and square-well interactions
• Correlations among neutron-proton and neutron-deuteron elastic scattering observables
• Mean-field approximation on steroids: exact description of the deuteron
• Efficient emulation of nuclear ground states with neural-network variational Monte Carlo and eigenvector continuation