Spin symmetry in the anti-nucleon spectrum

Abstract

We discuss spin and pseudo-spin symmetry in the spectrum of single nucleons and single anti-nucleons in a nucleus. As an example we use relativistic mean field theory to investigate single anti-nucleon spectra. We find a very well developed spin symmetry in single anti-neutron and single anti-proton spectra. The dominant components of the wave functions of the spin doublet are almost identical. This spin symmetry in anti-particle spectra and the pseudo-spin symmetry in particle spectra have the same origin. However it turns out that the spin symmetry in anti-nucleon spectra is much better developed than the pseudo-spin symmetry in normal nuclear single particle spectra.

4 pages, 5 figures

References in corpus (6)

• Pseudo-spin as a Relativistic Symmetry
• The pseudo-spin symmetry in Zr and Sn isotopes from the proton drip line to the neutron drip line
• Relativistic Symmetry Suppresses Quark Spin-Orbit Splitting
• A Relativistic Symmetry in Nuclei
• Consequences of a Relativistic Pseudospin Symmetry for Radial Nodes and Intruder Levels in Nuclei
• Enhanced binding and cold compression of nuclei due to admixture of antibaryons

Cited by in corpus (102)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Density-Dependent Relativistic Hartree-Fock Approach
• The limits of the nuclear landscape explored by the relativistic continuum Hatree-Bogoliubov theory
• Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation
• Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum
• Magic numbers for superheavy nuclei in relativistic continuum Hartree-Bogoliubov theory
• Relativistic Harmonic Oscillator with Spin Symmetry
• Towards an ab initio covariant density functional for nuclear structure
• Frontiers in Nuclear Astrophysics
• Pseudospin symmetry in single particle resonant states
• Deformed relativistic Hartree-Bogoliubov theory in continuum with point coupling functional: examples of even-even Nd isotopes
• Test of Pseudospin Symmetry in Deformed Nuclei
• Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: the case of the relativistic harmonic oscillator
• Application of the RMF mass model to the r-process and the influence of mass uncertainties
• First order shape transition and critical point nuclei in Sm isotopes from relativistic mean field approach
• Antibaryons bound in nuclei
• Time-odd triaxial relativistic mean field approach for nuclear magnetic moments
• Pseudospin symmetry in single particle resonances in spherical square wells
• Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations
• Crucial test for covariant density functional theory with new and accurate mass measurements from Sn to Pa
• Exploration of relativistic symmetry by the similarity renormalization group
• Spin symmetry in Dirac negative energy spectrum in density-dependent relativistic Hartree-Fock theory
• Spin and pseudospin symmetries in the antinucleon spectrum of nuclei
• Solving Dirac equations on a 3D lattice with inverse Hamiltonian and spectral methods
• Effects of pairing, continuum, and deformation on particles in the classically forbidden regions for Mg isotopes
• On the 2D Dirac oscillator in the presence of vector and scalar potentials in the cosmic string spacetime in the context of spin and pseudospin symmetries
• Nuclear matter in relativistic Brueckner-Hartree-Fock theory with Bonn potential in the full Dirac space
• Spin and pseudospin symmetries of the Dirac equation with confining central potentials
• Spin and Pseudospin symmetries in the Dirac equation with central Coulomb potentials
• Optimized Dirac Woods-Saxon basis for covariant density functional theory
• Spin Symmetry for Anti-Lambda Spectrum in atomic nucleus
• Relating pseudospin and spin symmetries through chiral transformation with tensor interaction
• Nuclear fourth-order symmetry energy and its effects on neutron star properties in the relativistic Hartree-Fock theory
• Avoid the Tsunami of the Dirac sea in the Imaginary Time Step method
• Relativistic Killingbeck Energy States Under an External Magnetic Fields
• Pseudo-spin symmetry restoration and the in-medium balance between nuclear attractive and repulsive interactions
• Pseudospin, supersymmetry and the shell structure of atomic nuclei
• Angular momentum and parity projected multidimensionally constrained relativistic Hartree-Bogoliubov model
• Relativistic interpretation on the nature of nuclear tensor force
• Relativistic Effects of Mixed Vector-Scalar-Pseudoscalar Potentials for Fermions in 1+1 Dimensions
• Higgs algebraic symmetry in the two-dimensional Dirac equation
• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
• Critical parameters of liquid-gas phase transition in thermal symmetric and asymmetric nuclear matter
• Lambda and Anti-Lambda Hypernuclei in Relativistic Mean-field Theory
• Dynamical symmetry of Dirac hydrogen atom with spin symmetry and its connection with Ginocchio's oscillator
• Further investigation of the relativistic symmetry by similarity renormalization group
• Analytical bound state solutions of the Dirac equation with the Hulthén plus a class of Yukawa potential including a Coulomb-like tensor interaction
• Solutions of the Dirac equation with the shifted Deng-Fan potential including Yukawa-like tensor interaction
• Tensor coupling effects on spin symmetry in anti-Lambda spectrum of hypernuclei
• Spin symmetry in the Dirac sea derived from the bare nucleon-nucleon interaction
• Approximate relativistic bound state solutions of the Tietz-Hua rotating oscillator for any -state
• Resonant states and pseudospin symmetry in the Dirac Morse potential
• Scattering of Klein-Gordon particles in the background of mixed scalar-vector generalized symmetric Woods-Saxon potential
• Microscopic description of triaxiality in Ru isotopes with covariant energy density functional theory
• Coexistence of chiral symmetry and pseudospin symmetry in one nucleus: triplet bands in ${}^{105}$Ag
• Bound states of the $D$-dimensional Schrödinger equation for the generalized Woods-Saxon potential
• Nuclear structure investigation of even-even Sn isotopes within the covariant density functional theory
• An Investigation of the Bound State Solutions of the Klein-Gordon Equation for the Generalized Woods-Saxon Potential in Spin Symmetry and Pseudo-spin Symmetry Limits
• κ state solutions for the fermionic massive spin-1/2 particles interacting with double ring-shaped Kratzer and oscillator potentials
• Calculation of microscopic nuclear level densities based on covariant density functional theory
• Single particle in a reflection-asymmetric potential
• Dynamical symmetries of the Klein-Gordon equation
• On the moment of inertia of PSR J0348+0432
• Finite-nuclear-size effect in hydrogen-like ions with relativistic nuclear structure
• The bound state solutions of the $D$-dimensional Schrödinger equation for the Woods-Saxon potential
• Approximate -state Solutions to the Dirac Mobius Square-Yukawa and Mobius Square-quasi Yukawa Problems under Pseudospin and Spin Symmetry limits with Coulomb-like Tensor Interaction
• Confinement of spinless particles by Coulomb potentials in two-dimensional space-time
• Constrained relativistic mean field approach with fixed configurations
• Global $\alpha$-decay study based on the mass table of the relativistic continuum Hartree-Bogoliubov theory
• Non-relativistic expansion of Dirac equation with spherical scalar and vector potentials by reconstituted Foldy-Wouthuysen transformation
• Pseudospin and spin symmetries in 1+1 dimensions: The case of the Coulomb potential
• New high-spin structure and possible chirality in ${}^{109}$In
• Scattering and bound states of fermions in a mixed vector-scalar smooth step potential
• Stationary states of fermions in a sign potential with a mixed vector-scalar coupling
• Neutron halo in deformed nuclei from a relativistic Hartree-Bogoliubov model in a Woods-Saxon basis
• Pseudospin and spin symmetry in the relativistic generalized Woods-Saxon potential including Coulomb-like tensor potential
• Triaxial relativistic Hartree-Bogoliubov theory in continuum for exotic nuclei
• Restoration of pseudo-spin symmetry in $N=32$ and $34$ isotones described by relativistic Hartree-Fock theory
• Moments of inertia of neutron stars in relativistic mean field theory: the role of the isovector scalar channel
• Pairing Properties of Symmetric Nuclear Matter in Relativistic Mean Field Theory
• Hamiltonian flow equations for a Dirac particle in large scalar and vector potentials
• Prediction of the excitation energies of the 2${}_1^{+}$ states for superheavy nuclei based on the microscopically derived Grodzins relation
• Current Status of Nuclear Physics Research
• Nuclear structure investigation of even-even and odd Pb isotopes by using the Hartree-Fock-Bogoliubov method
• Probing spin and pseudospin symmetries in deformed nuclei by the Green's function method
• Spin-orbit coupling rule in bound fermions systems
• Non-Relativistic and Relativistic Equations for the Kratzer Potential plus a Dipole in 2D Systems
• Ground state properties and shape evolution in Pt isotopes within the covariant density functional theory
• From spin to pseudospin symmetry: The origin of magic numbers in nuclear structure
• Symmetry of Dirac Equation and Corresponding Phenomenology
• Pseudospin symmetry in nuclear structure and its supersymmetric representation
• Relativistic Coulomb scattering of spinless bosons
• The extraction of higher-order radial moments of nuclear charge density from muonic atom spectroscopy
• Description of ${}^{178}$Hf${}^{m2}$ in the constrained relativistic mean field theory
• Recent progresses on the pseudospin symmetry in single particle resonant states
• Dirac Equation Solution with Generalized tanh-Shaped Hyperbolic Potential: Application to Charmonium and Bottomonium Mass Spectra
• Band crossings in ${}^{168}$Ta: a particle-number conserving analysis
• Structure of hypernuclei in relativistic approaches
• Fermions embedded in a scalar-vector kink-like smooth potential
• Interaction of antiproton with nuclei
• Extending the nuclear chart by continuum: from oxygen to titanium