Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei

Abstract

The Relativistic Continuum Hartree-Bogoliubov (RCHB) theory, which properly takes into account the pairing correlation and the coupling to (discretized) continuum via Bogoliubov transformation in a microscopic and self-consistent way, has been reviewed together with its new interpretation of the halo phenomena observed in light nuclei as the scattering of particle pairs into the continuum, the prediction of the exotic phenomena -- giant halos in nuclei near neutron drip line, the reproduction of interaction cross sections and charge-changing cross sections in light exotic nuclei in combination with the Glauber theory, better restoration of pseudospin symmetry in exotic nuclei, predictions of exotic phenomena in hyper nuclei, and new magic numbers in superheavy nuclei, etc. Recent investigations on new effective interactions, the density dependence of the interaction strengthes, the RMF theory on the Woods-Saxon basis, the single particle resonant states, and the resonant BCS (rBCS) method for the pairing correlation, etc. are also presented in some details.

79 pages. Prog. Part. Nucl. Phys. (2005) in press

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• The surface diffuseness and the spin-orbital splitting in relativistic continuum Hartree-Bogoliubov theory
• Nuclear structure of 178Hf related to the spin-16, 31-year isomer
• Study of Proton Magic Even-Even Isotopes and Giant Halos of Ca Isotopes with Relativistic Continuum Hartree-Bogoliubov Theory
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• Isospin Dependence of Proton and Neutron Radii within Relativistic Mean Field Theory
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• In-medium meson effects on the equation of state of hot and dense nuclear matter
• Sensitivity of neutron radii in the $""sup208_{P}bnucleusandaneutronstartonucleon-$ sigma_-$ rho_ coupling corrections in relativistic mean field theory

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• Finite temperature pairing re-entrance in drip-line ${}^{48}$Ni nucleus
• Global $\alpha$-decay study based on the mass table of the relativistic continuum Hartree-Bogoliubov theory
• Nuclear level density from relativistic density functional theory and combinatorial method
• Structure effect on one neutron removal reaction using relativistic mean field densities in Glauber model
• Low-lying states in even Gd isotopes studied with five-dimensional collective Hamiltonian based on covariant density functional theory
• Quenched Λ spin-orbit splitting by relativistic Fock diagram in single-Λ hypernuclei
• New high-spin structure and possible chirality in ${}^{109}$In
• The interplay of single-particle and collective motions in the low-lying states of ${}_{\Lambda }^{21}$Ne with quadrupole-octupole correlations
• Multireference covariant density-functional theory for the low-lying states of odd-mass nuclei
• Effects of finite size and symmetry energy on the phase transition of stellar matter at subnuclear densities
• Unified mechanism behind the even-parity ground state and neutron halo of ${}^{11}$Be
• Competition between weak and alpha-decay modes in superheavy nuclei
• Systematic study of the symmetry energy coefficient in finite nuclei
• Electron-capture decay in isotopic transfermium chains from self-consistent calculations
• Determining the density dependence of the nuclear symmetry energy using heavy-ion reactions
• Stability of Strutinsky Shell Correction Energy in Relativistic Mean Field Theory
• Nuclear structure in Parity Doublet Model
• Re-analysis of the Gamow-Teller distributions for N=Z nuclei, 24Mg, 28Si, and 32S
• Revisiting the extraction of charge radii of ${}^{40}$Ca and ${}^{208}$Pb with muonic atom spectroscopy
• Impact of ground-state properties and collective excitations on the Skyrme ansatz: a Bayesian study
• Self-consistent calculations of electron-capture decays in Z=118, 119, and 120 superheavy isotopes
• Neutron drip line of $Z=9-11$ isotopic chains
• Nuclear chart in covariant density functional theory with dynamical correlations: From Oxygen to Tin
• The evolution of the chiral symmetry in cesium isotopes
• Effects of the tensor force on low-energy heavy-ion fusion reactions: A mini review
• Neutron halo in deformed nuclei from a relativistic Hartree-Bogoliubov model in a Woods-Saxon basis
• Asymptotics of neutron Cooper pair in weakly bound nuclei
• Configuration mixing in low-lying spectra of carbon hypernuclei
• Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
• The optimized point-coupling interaction for the relativistic energy density functional of Hartree-Bogoliubov approach quantifying the nuclear bulk properties
• Impact of isovector pairing fluctuation on neutrinoless double-beta decay in multi-reference covariant density functional theory
• A key factor to the spin parameter of uniformly rotating compact stars: crust structure
• Triaxial relativistic Hartree-Bogoliubov theory in continuum for exotic nuclei
• Dineutron correlations and BCS-BEC crossover in nuclear matter with the Gogny pairing force
• The symmetry energy $\gamma$ parameter of relativistic mean-field models
• The $\Delta I$=2 bands in ${}^{109}$In: possible antimagnetic rotation
• Equation of state and hybrid star properties with the weakly interacting light U-boson in relativistic models
• Above-barrier heavy-ion fusion cross-sections using the relativistic mean-field approach: case of spherical colliding nuclei
• Nuclear structure and decay properties of even-even nuclei in $Z=70-80$ drip-line region
• Quadrupole collectivity and shell closure in neutron-rich nuclei around $N=126$
• Alpha-Cluster formation in heavy alpha-emitters within a multistep model
• Chiral dynamics in soft triaxial nuclei
• Thermodynamics of pairing transition for Odd-A nuclei
• Current Status of Nuclear Physics Research
• Pairing Properties of Symmetric Nuclear Matter in Relativistic Mean Field Theory
• The attribute of rotational profile to the hyperon puzzle in the prediction of heaviest compact star
• Temperature effects on nuclear pseudospin symmetry in the Dirac-Hartree-Bogoliubov formalism
• Finite-amplitude method: An extension to the covariant density functionals
• The nuclear symmetry energy from relativistic Brueckner-Hartree-Fock model
• Density-dependent relativistic mean field approach and its application to single-$\Lambda$ hypernuclei in Oxygen isotopes
• Moments of inertia of neutron stars in relativistic mean field theory: the role of the isovector scalar channel
• Sign-Problem-Free Nuclear Quantum Monte Carlo Simulation
• Symmetric ground states for a stationary relativistic mean-field model for nucleons in the nonrelativistic limit
• Time-dependent Dirac equation applied to one-proton radioactive emission
• Restoration of pseudo-spin symmetry in $N=32$ and $34$ isotones described by relativistic Hartree-Fock theory
• Impacts of the tensor couplings of $\omega$ and $\rho$ mesons and Coulomb exchange terms on super-heavy nuclei and their relation to symmetry energy
• Global performance of multireference density functional theory for low-lying states in $sd$-shell nuclei
• Exploring the ground state bulk and decay properties of the nuclei in superheavy island
• Nuclear structure investigation of even-even and odd Pb isotopes by using the Hartree-Fock-Bogoliubov method
• Energy-dependent Lorentz covariant parameterization of the NN interaction between 50 and 200 MeV
• Validity of the relativistic impulse approximation for elastic proton-nucleus scattering at energies lower than 200 MeV
• Generator coordinate method for nuclear octupole excitations: status and perspectives
• Symmetry restoration methods
• Multi-dimensional potential energy surfaces and non-axial octupole correlations in actinide and transfermium nuclei from relativistic mean field models
• Quantum and Coulomb repulsion effects on the bubble structures in ${}^{204,206}$Hg
• Pseudo spin doublet bands and Gallagher Moszkowski doublet bands in ${}^{100}$Y
• Application of relativistic mean field and effective field theory density to calculate scattering observables for Ca isotopes
• Configuration interaction relativistic Hartree-Fock model
• Spin-orbit coupling rule in bound fermions systems
• Density-dependent relativistic mean-field model for ${\Xi }^{-}$ hypernuclei
• A Study on Shape of Te Isotopes in Mean Field Formalism
• Ground state and fission properties of even-$A$ uranium isotopes from multidimensionally-constrained relativistic mean field model
• Impact of intrinsic electromagnetic structure on the nuclear charge radius in relativistic density functional theory
• The maximum mass of dark matter existing in compact stars based on the self-interacting fermionic model
• Pseudospin symmetry in nuclear structure and its supersymmetric representation
• Uniform descriptions of pseudospin symmetries in bound and resonant states
• The phase transition in hot $\Lambda$ hypernuclei within relativistic Thomas-Fermi approximation
• Systematic investigations of positive-parity doublet bands with three-quasiparticle configurations in ${}^{125,127,129,131}$Cs
• Effects of inner crusts on $g$-mode oscillations in neutron stars
• Charge symmetry breaking in hypernuclei within RMF model
• From spin to pseudospin symmetry: The origin of magic numbers in nuclear structure
• Role of nuclear deformation and orientation about symmetry axis of target nucleus on heavy-ion fusion dynamics
• Pseudospin Symmetry: Microscopic origin of the ground-state inversion in neutron-rich odd-A Cu isotopes
• Exploring effects of tensor force and its strength via neutron drops
• Tensor-force effects on shell-structure evolution in $N=82$ isotones and $Z=50$ isotopes in the relativistic Hartree-Fock theory
• A study of nuclear radii and neutron skin thickness of neutron-rich nuclei near the neutron drip line
• The nucleus-nucleus interaction between boosted nuclei
• Influence of binding energies of electrons on nuclear mass predictions
• The extraction of higher-order radial moments of nuclear charge density from muonic atom spectroscopy
• The role of the elemental nature of A=3 nuclei in neutron-rich nuclei
• Symmetry breaking of Gamow-Teller and magnetic-dipole transitions and its restoration in calcium isotopes
• Evolution of $N=28$ shell closure in relativistic continuum Hartree-Bogoliubov theory
• Sensitivity of deexcitation energies of superdeformed secondary minima to the density dependence of symmetry energy with the relativistic mean-field theory
• Applicability of Relativistic Point-Coupling Models to Neutron Star Physics
• Impact of $\Xi$-Hypernuclear Constraints on Relativistic Equation of State and Properties of Hyperon Stars
• Energy staggering parameters in nuclear magnetic rotational bands
• Novel halos in light kaonic nuclei as an indicator of nuclear equation of state at supra-normal densities
• Equation of state for hyperonic neutron-star matter in SU(3) flavor symmetry
• Persistence of magicity in neutron rich exotic ${}^{78}$Ni in ground as well as excited states
• Novel feature of doubly bubble nuclei in 50$\le$Z(N)$\le$82 region along with magicity and weakly bound structure
• Subspace-projected multireference covariant density functional theory
• Neck configuration of Cm and Cf nuclei in the fission state within relativistic mean field formalism
• Theory of nuclear collective vibrations
• Study of \b{eta}-Decay, log ft Values and Nuclear Structure Properties of Neutron-rich Ge Nuclei
• Description of ${}^{178}$Hf${}^{m2}$ in the constrained relativistic mean field theory
• Structural and decay properties of nuclei appearing in the $\alpha$-decay chains of ${}^{296,298,300,302,304}$120 within the relativistic mean-field formalism
• The charge radii of calcium isotopes within relativistic density functional theory: nucleon's finite-size and quadrupole shape fluctuation effects
• Neutron stars within relativistic central variational method
• Dipole response in deformed halo nuclei ${}^{42}\mathrm{Mg}$ and ${}^{44}\mathrm{Mg}$
• Predictions of charge density distributions for nuclei with $Z\ge 8$
• Unified treatment for in-medium light and heavy clusters with RMF models
• Investigation of ground state properties and shape evolution in Hf isotopes using the CDFT approach
• Implication of shell quenching in scandium isotopes around N=20
• Re examination of \b{eta} decay in Hg, Pb and Po Isotopes
• Recent progresses on the pseudospin symmetry in single particle resonant states
• Exact-exchange relativistic density functional theory in three-dimensional coordinate space
• $\Lambda -$hyperon interaction with nucleons
• The relativistic mean-field equations of the atomic nucleus
• Properties and microscopic structures of dense stellar matter in RMF models
• Impact of pion tensor force on alpha clustering in ${}^{20}$Ne
• Quest for magicity in hypernuclei
• The coexistence of possible magnetic and chiral rotation in ${}^{129}\mathrm{Cs}$ and ${}^{131}\mathrm{La}$: a microscopic investigation
• Exploratory study on the masses of odd-$Z$ nuclei and $r$-process simulation based on the deformed relativistic Hartree-Bogoliubov theory in continuum
• Relativistic Brueckner-Hartree-Fock Theory in Infinite Nuclear Matter
• Tetrahedral shape and Lambda impurity effect in ${}^{80}$Zr with a multidimensionally constrained relativistic Hartree-Bogoliubov model
• Ground-state properties of light kaonic nuclei signaling symmetry energy at high densities
• Triaxiality and shape dynamics in ${}^{70}$Ge
• Nuclear charge-exchange excitations in localized covariant density functional theory
• Correlation between the nuclear structure and reaction dynamics of Ar-isotopes as projectile using the relativistic mean-field approach
• Neutron-rich nuclei and the equation of state of stellar matter
• Accurate relativistic density functional for exchange energy of atomic nuclei
• Axially Deformed Proton-Neutron Relativistic Quasiparticle Finite Amplitude Method for Charge-Exchange Transitions
• Nuclear landscape in a mapped collective Hamiltonian from covariant density functional theory
• Band crossings in ${}^{168}$Ta: a particle-number conserving analysis
• Models for Pairing Phenomena
• Relativistic correction of the Coulomb interaction in the local density approximation for energies and radii in doubly-magic nuclei
• Charge symmetry breaking effects of $\omega$-${\rho }^0$ mixing in relativistic mean-field model
• In-medium properties of kaons in a chiral approach
• Effects of isoscalar- and isovector-scalar meson mixing on neutron star structure
• Model of multiple Dirac eikonal scattering of protons by nuclei
• Shape transitions and ground-state properties of tungsten isotopes in covariant density functional theory
• Microscopic self-consistent description of induced fission: dynamical pairing degree of freedom
• Model for independent particle motion
• Global study of separable pairing interaction in covariant density functional theory
• Multiple shape coexistence near Sn118: First 03+ lifetime measurement