Continuum Hartree-Fock-Bogoliubov theory for weakly bound deformed nuclei using coordinate-space Green's function method

Abstract

We formulate a new scheme of the Hartree-Fock-Bogoliubov mean-field theory applicable to weakly bound and pair correlated deformed nuclei using the coordinate-space Green's function technique. On the basis of a coupled-channel representation of the quasiparticle wave function expanded in terms of the partial waves, we impose the correct boundary condition of the asymptotically out-going waves on the continuum quasiparticle states. We perform numerical analysis for ${}^{38}$Mg to illustrate properties of the continuum quasiparticle states and the pair correlation in deformed nuclei near the neutron drip-line.

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Cited by in corpus (24)

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• Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum
• Deformed relativistic Hartree Bogoliubov theory in continuum
• Pair correlation of giant halo nuclei in continuum Skyrme-Hartree-Fock-Bogoliubov theory
• Green's function method for single-particle resonant states in relativistic mean field theory
• Quasi-particle continuum and resonances in the Hartree-Fock-Bogoliubov theory
• Persistent contribution of unbound quasiparticles to the pair correlation in continuum Skyrme-Hartree-Fock-Bogoliubov approach
• Neutron drip line in the deformed relativistic Hartree-Bogoliubov theory in continuum: Oxygen to Calcium
• Green's function method for the single-particle resonances in a deformed Dirac equation
• Relativistic Continuum Quasiparticle Random Phase Approximation in Spherical Nuclei
• Hartree-Fock-Bogoliubov descriptions of deformed weakly-bound nuclei in large coordinate spaces
• Green's function relativistic mean field theory for $\Lambda$ hypernuclei
• Evolution of Surface Deformations of Weakly-Bound Nuclei in the Continuum
• Emergent Soft Monopole Modes in Weakly-Bound Deformed Nuclei
• Probing Surface Quantum Flows in Deformed Pygmy Dipole Modes
• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
• Constraints on the neutron drip-line with the newly observed 39Na
• Continuum Skyrme-Hartree-Fock-Bogoliubov theory with Green's function method for odd-$A$ nuclei
• Jost function based on the Hartree-Fock-Bogoliubov formalism
• Study of single-particle resonant states with Green's function method
• Open problems in nuclear structure near drip lines
• Time-dependent Dirac equation applied to one-proton radioactive emission
• Probing spin and pseudospin symmetries in deformed nuclei by the Green's function method
• Precision of finite-difference representation in 3D coordinate-space Hartree-Fock-Bogoliubov calculations