Nuclear matter properties from local chiral interactions with $\Delta$ isobar intermediate states

Abstract

Using two-nucleon and three-nucleon interactions derived in the framework of chiral perturbation theory (ChPT) with and without the explicit $\Delta$ isobar contributions, we calculate the energy per particle of symmetric nuclear matter and pure neutron matter in the framework of the microscopic Brueckner-Hartree-Fock approach. In particular, we present for the first time nuclear matter calculations using the new fully local in coordinate-space two-nucleon interaction at the next-to-next-to-next-to-leading-order (N3LO) of ChPT with $\Delta$ isobar intermediate states (N3LO$\Delta$) recently developed by Piarulli et al. [arXiv:1606:06335]. We find that using this N3LO$\Delta$ potential, supplemented with a local N2LO three-nucleon interaction with explicit $\Delta$ isobar degrees of freedom, it is possible to obtain a satisfactory saturation point of symmetric nuclear matter. For this combination of two- and three-nucleon interactions we also calculate the nuclear symmetry energy and we compare our results with the empirical constraints on this quantity obtained using the excitation energies to isobaric analog states in nuclei and using experimental data on the neutron skin thickness of heavy nuclei, finding a very good agreement with these empirical constraints in all the considered nucleonic density range. In addition, we find that the explicit inclusion of $\Delta$ isobars diminishes the strength of the three-nucleon interactions needed the get a good saturation point of symmetric nuclear matter. We also compare the results of our calculations with those obtained by other research groups using chiral nuclear interactions with different many-body methods, finding in many cases a very satisfactory agreement.

References in corpus (70)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• An accurate nucleon-nucleon potential with charge-independence breaking
• The equation of state for nucleon matter and neutron star structure
• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• The Equation of State from Observed Masses and Radii of Neutron Stars
• Composition and Structure of Protoneutron Stars
• The two-nucleon system at next-to-next-to-next-to-leading order
• Three-Nucleon Forces from Chiral Effective Field Theory
• Improved nuclear matter calculations from chiral low-momentum interactions
• Coupled-cluster computations of atomic nuclei
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Accurate nuclear radii and binding energies from a chiral interaction
• From low-momentum interactions to nuclear structure
• Three-Body Interactions Among Nucleons and Pions
• Chiral three-nucleon forces and neutron matter
• Perspectives on Core-Collapse Supernova Theory
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• Three-body forces: From cold atoms to nuclei
• Ab Initio Calculations of Medium-Mass Nuclei with Normal-Ordered Chiral NN+3N Interactions
• Symmetry Energy II: Isobaric Analog States
• Local three-nucleon interaction from chiral effective field theory
• Quantifying truncation errors in effective field theory
• The Nuclear Symmetry Energy
• Subleading contributions to the chiral three-nucleon force I: long-range terms
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Peripheral NN-Scattering: Role of Delta-Excitation, Correlated Two-Pion and Vector Meson Exchange
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• Incompressibility in finite nuclei and nuclear matter
• Density dependence of the nuclear symmetry energy: a microscopic perspective
• Subleading contributions to the chiral three-nucleon force II: Short-range terms and relativistic corrections
• Constraining the symmetry energy at subsaturation densities using isotope binding energy difference and neutron skin thickness
• Signatures of three-nucleon interactions in few-nucleon systems
• Ab Initio Path to Heavy Nuclei
• Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
• Estimation of the effect of hyperonic three-body forces on the maximum mass of neutron stars
• Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
• Density-dependent effective nucleon-nucleon interaction from chiral three-nucleon forces
• Giant Quadrupole Resonances in 208Pb, the nuclear symmetry energy and the neutron skin thickness
• Neutron matter from chiral two- and three-nucleon calculations up to N${}^3$LO
• Neutron Matter from Low to High Density
• Few-nucleon systems with state-of-the-art chiral nucleon-nucleon forces
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Self-consistent Green's functions formalism with three-body interactions
• Coarse grained Potential analysis of neutron-proton and proton-proton scattering below pion production threshold
• The nuclear matter equation of state with consistent two- and three-body perturbative chiral interactions
• Improving the convergence of the chiral expansion for nuclear forces II: low phases and the deuteron
• Microscopic calculations and energy expansions for neutron-rich matter
• Subleading contributions to the three-nucleon contact interaction
• A recipe for EFT uncertainty quantification in nuclear physics
• Symmetric nuclear matter with chiral three-nucleon forces in the self-consistent Green's functions approach
• Chiral effective field theory predictions for muon capture on deuteron and 3He
• Equation of state and magnetic susceptibility of spin polarized isospin asymmetric nuclear matter
• Nuclear chiral dynamics and thermodynamics
• Masses of neutron stars and nuclei
• Properties of the nuclear medium
• Quantum Monte Carlo calculations of neutron matter with non-local chiral interactions
• Auxiliary-Field Quantum Monte Carlo Simulations of Neutron Matter in Chiral Effective Field Theory
• Dominant contributions to the nucleon-nucleon interaction at sixth order of chiral perturbation theory
• Nuclear symmetry energy and the role of the tensor force
• The High-Density Symmetry Energy and Direct Urca
• Selecting microscopic Equations of State
• Tritium $\beta$-decay in chiral effective field theory
• Microscopic calculations of spin polarized neutron matter at finite temperature
• Higher-order symmetry energy of nuclear matter and the inner edge of neutron star crusts
• Symmetry energy, neutron skin, and neutron star radius from chiral effective field theory interactions
• Nuclear saturation in lowest-order Brueckner theory with two- and three-nucleon forces in view of chiral effective field theory

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• Numerical Relativity Simulations of the Neutron Star Merger GW170817: Long-Term Remnant Evolutions, Winds, Remnant Disks, and Nucleosynthesis
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• Accretion-induced prompt black hole formation in asymmetric neutron star mergers, dynamical ejecta and kilonova signals
• Equation of state of dense nuclear matter and neutron star structure from nuclear chiral interactions
• Delta isobars and nuclear saturation
• Theoretical and Experimental Constraints for the Equation of State of Dense and Hot Matter
• Variational calculation of the ground state of closed-shell nuclei up to $A=40$
• Impact of chiral hyperonic three-body forces on neutron stars
• Correlations imposed by the unitary limit between few-nucleon systems, nuclear matter and neutron stars
• Microscopic equation of state of hot nuclear matter for numerical relativity simulations
• Effects of Chiral Effective Field Theory Equation of State on Binary Neutron Star Mergers
• Neutrino emission from binary neutron star mergers: characterizing light curves and mean energies
• Microscopic predictions of the nuclear matter liquid-gas phase transition
• Efimov Physics and Connections to Nuclear Physics
• Benchmark calculations of infinite neutron matter with realistic two- and three-nucleon potentials
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Full optimization and validation
• Power counting in chiral effective field theory and nuclear binding
• Do we know how to count powers in pionless and pionful effective field theory?
• Perturbation Theory of Nuclear Matter with a Microscopic Effective Interaction
• Inference of the low-energy constants in $\Delta$-full chiral effective field theory including a correlated truncation error
• Properties of nuclear matter in relativistic Brueckner-Hartree-Fock model with high-precision charge-dependent potentials
• Variation of delta baryon mass and hybrid star properties in static and rotating conditions
• Dark matter admixed neutron stars with a realistic nuclear equation of state from chiral nuclear interactions
• Deconfinement of non-strange hadronic matter with nucleons and $\Delta$ baryons to quark matter in neutron stars
• Ab initio models of atomic nuclei: challenges and new ideas
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory
• Signatures of deconfined quark phases in binary neutron star mergers