Relativistic nuclear energy density functional constrained by low-energy QCD

Abstract

A relativistic nuclear energy density functional is developed, guided by two important features that establish connections with chiral dynamics and the symmetry breaking pattern of low-energy QCD: a) strong scalar and vector fields related to in-medium changes of QCD vacuum condensates; b) the long- and intermediate-range interactions generated by one-and two-pion exchange, derived from in-medium chiral perturbation theory, with explicit inclusion of $\Delta (1232)$ excitations. Applications are presented for binding energies, radii of proton and neutron distributions and other observables over a wide range of spherical and deformed nuclei from ${}^{16}O$ to ${}^{210}Po$. Isotopic chains of $Sn$ and $Pb$ nuclei are studied as test cases for the isospin dependence of the underlying interactions. The results are at the same level of quantitative comparison with data as the best phenomenological relativistic mean-field models.

48 pages, 12 figures, elsart.cls class file. Revised version, accepted for publication in Nucl. Phys. A

References in corpus (33)

• Nuclear Ground-State Masses and Deformations
• The equation of state for nucleon matter and neutron star structure
• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• Recent Progress in Quantum Hadrodynamics
• Model-independent low momentum nucleon interaction from phase shift equivalence
• Neutron Radii in Mean-Field Models
• Relativistic Hartree-Bogoliubov model with density-dependent meson-nucleon couplings
• Nuclear Ground State Observables and QCD Scaling in a Refined Relativistic Point Coupling Model
• Density Dependent Hadron Field Theory
• A microscopic estimate of the nuclear matter compressibility and symmetry energy in relativistic mean-field models
• Is nuclear matter perturbative with low-momentum interactions?
• QCD Sum Rules and Applications to Nuclear Physics
• Chiral Dynamics and Nuclear Matter
• Anomaly in the charge radii of Pb isotopes
• Quasiparticle random phase approximation based on the relativistic Hartree-Bogoliubov model II: Nuclear spin and isospin excitations
• Configuration mixing of angular momentum projected self-consistent mean-field states for neutron-deficient Pb isotopes
• Chiral approach to nuclear matter: Role of two-pion exchange with virtual delta-isobar excitation
• Relativistic Point-Coupling Models as Effective Theories of Nuclei
• Relativistic Random-Phase Approximation with density-dependent meson-nucleon couplings
• Shape Coexistence in Pb186: Beyond-mean-field description by configuration mixing of symmetry restored wave functions
• Parameter Counting in Relativistic Mean-Field Models
• Relativistic nuclear model with point-couplings constrained by QCD and chiral symmetry
• Condensates in Quantum Chromodynamics
• Nuclear energy density functional from chiral pion-nucleon dynamics
• Density Functional Theory for a Confined Fermi System with Short-Range Interaction
• Nuclear mean field from chiral pion-nucleon dynamics
• The Kinetic Energy Density in Kohn-Sham Density Functional Theory
• Nuclear Many-Body Dynamics constrained by QCD and Chiral Symmetry
• Density Functional Theory: Methods and Problems
• Ground state properties of rare-earth nuclei in the relativistic Hartree-Bogoliubov model with density-dependent meson-nucleon couplings
• Spin-orbit coupling in nuclei and realistic nucleon-nucleon potentials
• Single-particle potential in a chiral approach to nuclear matter including short range NN-terms
• Nuclear pairing from chiral pion-nucleon dynamics

Cited by in corpus (51)

• Equations of state for supernovae and compact stars
• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Relativistic mean field interaction with density dependent meson-nucleon vertices based on microscopical calculations
• Isospin-dependent properties of asymmetric nuclear matter in relativistic mean-field models
• Toward ab initio density functional theory for nuclei
• Local nuclear energy density functional at next-to-next-to-next-to-leading order
• In-medium chiral condensate beyond linear density approximation
• Nuclear Equation of state for Compact Stars and Supernovae
• Stellar matter with a strong magnetic field within density-dependent relativistic models
• Convergence of density-matrix expansions for nuclear interactions
• Astrophysical implications on hyperon couplings and hyperon star properties with relativistic equations of states
• Description of single-Lambda hypernuclei with relativistic point coupling model
• Multi-$\bar{K}$ nuclei and kaon condensation
• Chiral condensate in neutron matter
• Probing the Nuclear Symmetry Energy with Heavy-Ion Reactions Induced by Neutron-Rich Nuclei
• Sloppy nuclear energy density functionals: effective model reduction
• Extended Skyrme interactions for transport model simulations of heavy-ion collisions
• Elastic and quasi-elastic electron scattering off nuclei with neutron excess
• Hypernuclear single particle spectra based on in-medium chiral SU(3) dynamics
• Nuclear chiral dynamics and phases of QCD
• Lambda hypernuclei and neutron star matter in a chiral SU(3) relativistic mean field model with a logarithmic potential
• Nuclear energy density functional from chiral pion-nucleon dynamics revisited
• The quest for novel modes of excitation in exotic nuclei
• The Negele-Vautherin density matrix expansion applied to the Gogny force
• Relativistic Chiral Hartree-Fock description of nuclear matter with constraints from nucleon structure and confinement
• Measurement of the Ar(e,e${}^{\prime }$ p) and Ti(e,e${}^{\prime }$ p) cross sections in Jefferson Lab Hall A
• Nuclear collective dynamics in the lattice Hamiltonian Vlasov method
• Finite- to zero-range relativistic mean-field interactions
• QCD susceptibilities and nuclear matter saturation in a chiral theory: inclusion of pion loops
• Chiral pion-nucleon dynamics in finite nuclei: spin-isospin excitations
• Note on spin-orbit interactions in nuclei and hypernuclei
• In-medium chiral SU(3) dynamics and hypernuclear structure
• Elastic and quasi-elastic electron scattering on the N = 14, 20, and 28 isotonic chains
• Chiral symmetry in strongly interacting matter
• Pseudospin symmetry and structure of nuclei with $Z\ge$ 100
• Addressing spectroscopic quality of covariant density functional theory
• Relativistic descriptions of final-state interactions in charged-current neutrino-nucleus scattering at ArgoNeuT kinematics
• The QCD Phase Diagram from Chiral Approaches
• Scales in nuclear matter: Chiral dynamics with pion nucleon form factors
• Determining the density dependence of the nuclear symmetry energy using heavy-ion reactions
• Nuclear Energy Density Functionals Constrained by Low-Energy QCD
• Scalar field in nuclear matter: the roles of spontaneous chiral symmetry breaking and nucleon structure
• Overview and Perspectives in Nuclear Physics
• Nuclear energy density functional from chiral pion-nucleon dynamics: Isovector terms
• Saturation properties of nuclear matter in a relativistic mean field model constrained by the quark dynamics
• Applicability of Relativistic Point-Coupling Models to Neutron Star Physics
• Implications of the Oklo phenomenon in a chiral approach to nuclear matter
• Hypernuclei and in-medium chiral dynamics
• Stability of the manifold boundary approximation method for reductions of nuclear structure models
• Nuclear Pairing from Chiral Pion-Nucleon Dynamics: Applications to Finite Nuclei