Halo phenomenon in finite many-fermion systems. Atom-positron complexes and large-scale study of atomic nuclei

Abstract

The analysis method proposed in Ref. \cite{rotival07a} is applied to characterize halo properties in finite many-fermion systems. First, the versatility of the method is highlighted by applying it to light and medium-mass nuclei as well as to atom-positron and ion-positronium complexes. Second, the dependence of nuclear halo properties on the characteristics of the energy density functional used in self-consistent Hartree-Fock-Bogoliubov calculations is studied. It is found that (a) the low-density behavior of the pairing functional and the regularization/renormalization scheme must be chosen coherently and with care to provide meaningful predictions, (b) the impact of pairing correlations on halo properties is significant and is the result of two competing effects, (c) the detailed characteristics of the pairing functional has however only little importance, (d) halo properties depend significantly on any ingredient of the energy density functional that influences the location of single-particle levels; i.e. the effective mass, the tensor terms and the saturation density of nuclear matter. The latter dependencies give insights to how experimental data on medium-mass drip-line nuclei can be used in the distant future to constrain some characteristics of the nuclear energy density functional. Last but not least, large scale predictions of halos among all spherical even-even nuclei are performed using specific sets of particle-hole and particle-particle energy functionals. It is shown that halos in the ground state of medium-mass nuclei will only be found at the very limit of neutron stability and for a limited number of elements.

24 Pages, 32 Figures. Accepted for publication in Phys. Rev. C back-to back with first part (nucl-th/0702050)

References in corpus (16)

• The tensor part of the Skyrme energy density functional. I. Spherical nuclei
• Spin-orbit splitting and the tensor component of the Skyrme interaction
• Microscopic justification of the Equal Filling approximation
• Isovector splitting of nucleon effective masses, ab-initio benchmarks and extended stability criteria for Skyrme energy functionals
• Spatial structure of neutron Cooper pair in low density uniform matter
• Tensor interaction contributions to single-particle energies
• ${}^{22}$C: $S$-Wave Two-Neutron Halo
• Roles of the tensor and pairing correlations on the halo formation in 11Li
• Pairing correlations and resonant states in the relativistic mean field theory
• Pairing renormalization and regularization within the local density approximation
• New analysis method of the halo phenomenon in finite many-fermion systems. First applications to medium-mass atomic nuclei
• Neutron Skin Thickness of 90Zr Determined By Charge Exchange Reactions
• Giant neutron halos in the non-relativistic mean field approach
• Continuum and Symmetry-Conserving Effects in Drip-line Nuclei Using Finite-range Forces
• Role of low-$l$ component in deformed wave functions near the continuum threshold
• The one-body and two-body density matrices of finite nuclei with an appropriate treatment of the center-of-mass motion

Cited by in corpus (20)

• Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum
• Comparing and contrasting nuclei and cold atomic gases
• Deformed relativistic Hartree-Bogoliubov theory in continuum with point coupling functional: examples of even-even Nd isotopes
• Nuclear halo structure and pseudo-spin symmetry
• Halos and related structures
• Living on the edge of stability, the limits of the nuclear landscape
• Neutron skin uncertainties of Skyrme energy density functionals
• Non-empirical pairing functional
• Persistent contribution of unbound quasiparticles to the pair correlation in continuum Skyrme-Hartree-Fock-Bogoliubov approach
• New analysis method of the halo phenomenon in finite many-fermion systems. First applications to medium-mass atomic nuclei
• Missed prediction of the neutron halo in ${}^{37}$Mg
• Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using N2LO Skyrme pseudo-potential in spherical symmetry
• Dynamical effects in fusion with exotic nuclei
• Influence of pairing correlations on the radius of neutron-rich nuclei
• Pairing correlations and odd-even staggering in reaction cross sections of weakly bound nuclei
• Bound states of dipolar molecules studied with the Berggren expansion method
• Analysis of the unbound spectrum of ${}^{12}$Li
• Two-neutron transfer probabilities and spatial-localization effects at the drip line
• Design and characterisation of an antiproton deceleration beamline for the PUMA experiment
• A theoretical analysis of mid-mass neutron halos. What changes going from few- to many-body systems regarding neutron halos?