Nuclear chiral dynamics and thermodynamics

Abstract

This presentation reviews an approach to nuclear many-body systems based on the spontaneously broken chiral symmetry of low-energy QCD. In the low-energy limit, for energies and momenta small compared to a characteristic symmetry breaking scale of order 1 GeV, QCD is realized as an effective field theory of Goldstone bosons (pions) coupled to heavy fermionic sources (nucleons). Nuclear forces at long and intermediate distance scales result from a systematic hierarchy of one- and two-pion exchange processes in combination with Pauli blocking effects in the nuclear medium. Short distance dynamics, not resolved at the wavelengths corresponding to typical nuclear Fermi momenta, are introduced as contact interactions between nucleons. Apart from a set of low-energy constants associated with these contact terms, the parameters of this theory are entirely determined by pion properties and low-energy pion-nucleon scattering observables. This framework (in-medium chiral perturbation theory) can provide a realistic description of both isospin-symmetric nuclear matter and neutron matter. The importance of three-body forces is emphasized, and the role of explicit Delta(1232)-isobar degrees of freedom is investigated in detail. Nuclear chiral thermodynamics is developed and a calculation of the nuclear phase diagram is performed. This includes a successful description of the first-order phase transition from a nuclear Fermi liquid to an interacting Fermi gas and the coexistence of these phases below a critical temperature T_c. Density functional methods for finite nuclei based on this approach are also discussed. Effective interactions, their density dependence and connections to Landau Fermi liquid theory are outlined. Finally, the density and temperature dependence of the chiral (quark) condensate is investigated.

63 pages, 45 figures

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• Shapiro delay measurement of a two solar mass neutron star
• Chiral effective field theory and nuclear forces
• Improved nuclear matter calculations from chiral low-momentum interactions
• Equation of state and QCD transition at finite temperature
• The Skyrme Interaction in finite nuclei and nuclear matter
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Electromagnetic excitation of the Delta(1232)-resonance
• Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
• Subleading contributions to the chiral three-nucleon force I: long-range terms
• Isotopic dependence of the giant monopole resonance in the even-A ^{112-124}Sn isotopes and the asymmetry term in nuclear incompressibility
• Density dependence of the nuclear symmetry energy: a microscopic perspective
• Coupled-cluster theory for three-body Hamiltonians
• Quantum Monte Carlo calculation of the equation of state of neutron matter
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. IX: Constraint of pairing force to ${}^1{S}_0$ neutron-matter gap
• New precision mass measurements of neutron-rich calcium and potassium isotopes and three-nucleon forces
• Two-pion exchange three-nucleon potential: O(q^4) chiral expansion
• Chiral three-nucleon interaction and the carbon-14 dating beta decay
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization
• Four-nucleon force using the method of unitary transformation
• Microscopic optical potential from chiral nuclear forces
• Low Momentum Nucleon-Nucleon Interactions and Shell-Model Calculations
• Liquid-gas phase transition in nuclear matter from realistic many-body approaches
• Neutron matter at finite temperature
• Density Matrix Expansion for Low-Momentum Interactions
• Effective interaction dependence of the liquid-gas phase transition in symmetric nuclear matter
• Chiral effective field theory calculations of neutrino processes in dense matter
• Thermodynamic properties of nuclear matter with three-body forces
• Critical temperature for the nuclear liquid-gas phase transition (from multifragmentation and fission)
• Unified approach to structure factors and neutrino processes in nucleon matter
• Neutron Fermi Liquids under the presence of a strong magnetic field with effective nuclear forces

Cited by in corpus (73)

• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Nucleon-Nucleon Correlations, Short-lived Excitations, and the Quarks Within
• Chiral interactions up to next-to-next-to-next-to-leading order and nuclear saturation
• Neutron Stars and the Nuclear Equation of State
• Nuclear forces and their impact on neutron-rich nuclei and neutron-rich matter
• Neutron star tidal deformabilities constrained by nuclear theory and experiment
• Asymmetric nuclear matter based on chiral two- and three-nucleon interactions
• Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
• Chiral Effective Field Theory and the High-Density Nuclear Equation of State
• Neutron matter from chiral two- and three-nucleon calculations up to N${}^3$LO
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• The nuclear matter equation of state with consistent two- and three-body perturbative chiral interactions
• Equation of state of nuclear and neutron matter at third-order in perturbation theory from chiral EFT
• Heavy Hadrons in Nuclear Matter
• Thermodynamics of isospin-asymmetric nuclear matter from chiral effective field theory
• Equation of state effects in core-collapse supernovae
• Auxiliary-Field Quantum Monte Carlo Simulations of Neutron Matter in Chiral Effective Field Theory
• Nuclear equation of state for arbitrary proton fraction and temperature based on chiral effective field theory and a Gaussian process emulator
• Efficient calculation of chiral three-nucleon forces up to N3LO for ab initio studies
• Nuclear thermodynamics from chiral low-momentum interactions
• Towards grounding nuclear physics in QCD
• Equation of state constraints from nuclear physics, neutron star masses, and future moment of inertia measurements
• Divergence of the isospin-asymmetry expansion of the nuclear equation of state in many-body perturbation theory
• Hyperons in nuclear matter from SU(3) chiral effective field theory
• $Abinitio$ constraints on thermal effects of the nuclear equation of state
• Dense baryonic matter: constraints from recent neutron star observations
• Nuclear Equation of state for Compact Stars and Supernovae
• Neutron star crusts from mean field models constrained by chiral effective field theory
• Functional renormalization group studies of nuclear and neutron matter
• From asymmetric nuclear matter to neutron stars: a functional renormalization group study
• Extensive Studies of the Neutron Star Equation of State from the Deep Learning Inference with the Observational Data Augmentation
• Nuclear Currents in Chiral Effective Field Theory
• Hyperon-nuclear interactions from SU(3) chiral effective field theory
• Neutron matter at finite temperature based on chiral effective field theory interactions
• Effects of Chiral Effective Field Theory Equation of State on Binary Neutron Star Mergers
• Ab initio nuclear thermodynamics
• Nuclear matter properties from local chiral interactions with $\Delta$ isobar intermediate states
• Thermodynamic phases and mesonic fluctuations in a chiral nucleon-meson model
• Microscopic optical potential for exotic isotopes from chiral effective field theory
• Effective density functionals beyond mean field
• Symmetry energy, neutron skin, and neutron star radius from chiral effective field theory interactions
• Ab Initio Derivation of Model Energy Density Functionals
• Translating neutron star observations to nuclear symmetry energy via artificial neural networks
• Impact of Nucleon-Nucleon Bremsstrahlung Rates Beyond One-Pion Exchange
• Turning the nuclear energy density functional method into a proper effective field theory: reflections
• Microscopically constrained mean field models from chiral nuclear thermodynamics
• Sloppy nuclear energy density functionals: effective model reduction
• The neutron polaron as a constraint on nuclear density functionals
• Functional renormalization group approach to neutron matter
• From bare interactions, low--energy constants and unitary gas to nuclear density functionals without free parameters: application to neutron matter
• Fluctuations and phases in baryonic matter
• Quantum Monte Carlo calculations of two neutrons in finite volume
• Exact solution of the Brueckner-Bethe-Goldstone equation with three-body forces in nuclear matter
• Short-range correlations in isospin symmetric and asymmetric nuclear matter: a microscopic perspective
• Nuclear matter at finite temperature and static properties of proto-neutron star
• Impacts of symmetry energy slope on the oscillation frequencies of neutron stars with short-range correlation and admixed dark matter
• Effective field theory for dilute Fermi systems at fourth order
• Applying the Density Matrix Expansion with Coordinate-Space Chiral Interactions
• Constraining the nonanalytic terms in the isospin-asymmetry expansion of the nuclear equation of state
• Hot and dense matter beyond relativistic mean field theory
• Proton pairing in neutron stars from chiral effective field theory
• Topics in Low-Energy QCD with Strange Quarks
• Third-order particle-hole ring diagrams with contact-interactions and one-pion exchange
• Zero-temperature limit and statistical quasiparticles in many-body perturbation theory
• Towards a power counting in nuclear energy-density-functional theories through a perturbative analysis
• Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
• Small Bits of Cold Dense Matter
• From QCD Symmetries to Nuclei and Neutron Stars
• Dense Baryonic Matter and Strangeness in Neutron Stars
• Coexistence of phases in asymmetric nuclear matter under strong magnetic fields
• Effective Field Theories for Neutron Stars Physics
• Transport coefficients of dense nucleon matter at low temperature
• Neutron star crust and outer core equation of state from chiral effective field theory with quantified uncertainties