Charge symmetry breaking effects of $\omega$-${\rho }^0$ mixing in relativistic mean-field model

Abstract

We present a relativistic mean-field model that incorporates charge symmetry breaking (CSB) of nuclear force via $\omega$-${\rho }^0$ meson mixing, along with corrections to the electromagnetic interaction including the nucleon form factors, first-order vacuum polarization, and Coulomb exchange and pairing terms. The model parameters are refitted using the mass differences of $T=1/2$ mirror nuclei and ground-state properties of magic nuclei, yielding DD-ME-CSB parameter set. The DD-ME-CSB parameter set reproduces the mass differences of mirror nuclei reasonably well up to $T=2$, demonstrating the importance of $\omega$-${\rho }^0$ mixing. A connection of the present model to a Skyrme-type CSB interaction is also established through a gradient expansion of the energy density functional.

arXiv comment16 pages, 6 figures

References in corpus (48)

• An accurate nucleon-nucleon potential with charge-independence breaking
• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• Nuclear ground-state masses and deformations: FRDM(2012)
• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• Neutron skin of 208Pb, nuclear symmetry energy, and the parity radius experiment
• Nucleon Electromagnetic Form Factors
• Relativistic Hartree-Bogoliubov model with density-dependent meson-nucleon couplings
• Nuclear Ground State Observables and QCD Scaling in a Refined Relativistic Point Coupling Model
• DIRHB -- a relativistic self-consistent mean-field framework for atomic nuclei
• Building relativistic mean field models for finite nuclei and neutron stars
• Charge Symmetry Breaking and QCD
• Isospin corrections for superallowed Fermi beta decay in self-consistent relativistic random phase approximation approaches
• Phenomenological Aspects of Isospin Violation in the Nuclear Force
• Nuclear charge densities in spherical and deformed nuclei: towards precise calculations of charge radii
• The Momentum Dependence of the $\rho -\omega$ Mixing Amplitude in a Hadronic Model
• The Nolen-Schiffer anomaly and isospin symmetry breaking in nuclear matter
• Microscopic calculations of isospin-breaking corrections to superallowed beta-decay
• Isospin-symmetry breaking in masses of $N\simeq Z$ nuclei
• Relativistic Hartree-Bogoliubov description of the neutron drip-line in light nuclei
• Isospin-breaking corrections to superallowed Fermi beta-decay in isospin- and angular-momentum-projected nuclear Density Functional Theory
• On the Binding Energy and the Charge Symmetry Breaking in A<=16 Lambda-hypernuclei
• Impact of spin-orbit currents on the electroweak skin of neutron-rich nuclei
• The nuclear symmetry energy and the breaking of the isospin symmetry: how do they reconcile with each other?
• Description of single-Lambda hypernuclei with relativistic point coupling model
• Charge radii of ${}^{55,56}$Ni reveal a surprisingly similar behavior at $N=28$ in Ca and Ni isotopes
• Isospin-violating nucleon-nucleon forces using the method of unitary transformation
• Isospin-symmetry breaking in superallowed Fermi beta-decay due to isospin-nonconserving forces
• Comparative study on charge radii and their kinks at magic numbers
• Isospin symmetry breaking in the charge radius difference of mirror nuclei
• Isobaric Multiplet Mass Equation within nuclear Density Functional Theory
• Nuclear energy density functionals grounded in ab initio calculations
• Neutron-proton mass difference in finite nuclei and the Nolen-Schiffer anomaly
• New Measurements of the Beam-Normal Single Spin Asymmetry in Elastic Electron Scattering Over a Range of Spin-0 Nuclei
• Second and fourth moments of the charge density and neutron-skin thickness of atomic nuclei
• Effects of the Neutron Spin-Orbit Density on Nuclear Charge Density in Relativistic Models
• Toward ab initio charge symmetry breaking in nuclear energy density functionals
• Improvement of functionals in density functional theory by the inverse Kohn--Sham method and density functional perturbation theory
• Effects of Coulomb and isospin symmetry breaking interactions on neutron-skin thickness
• Generalized isobaric multiplet mass equation and its application to the Nolen-Schiffer anomaly
• Radial overlap correction to superallowed $0^{+}\to 0^{+}$ nuclear $\beta$ decays using the shell model with Hartree-Fock radial wave functions
• A first step in the nuclear inverse Kohn-Sham problem: from densities to potentials
• Isovector density and isospin impurity in ${}^{40}\mathrm{Ca}$
• QCD-based charge symmetry breaking interaction and the Okamoto-Nolen-Schiffer anomaly
• Charge symmetry breaking in hypernuclei within RMF model
• Experimental Status of the CKM Matrix
• Microscopic calculations of isospin mixing in N~Z nuclei and isospin-symmetry-breaking corrections to the superallowed beta-decay
• Mirror-skin thickness: a possible observable sensitive to the charge symmetry breaking energy density functional