Continuum particle-vibration coupling method in coordinate-space representation for finite nuclei

Abstract

In this paper we present a new formalism to implement the nuclear particle-vibration coupling (PVC) model. The key issue is the proper treatment of the continuum, that is allowed by the coordinate space representation. Our formalism, based on the use of zero-range interactions like the Skyrme forces, is microscopic and fully self-consistent. We apply it to the case of neutron single-particle states in ${}^{40}$Ca, ${}^{208}$Pb and ${}^{24}$O. The first two cases are meant to illustrate the comparison with the usual (i.e., discrete) PVC model. However, we stress that the present approach allows to calculate properly the effect of PVC on resonant states. We compare our results with those from experiments in which the particle transfer in the continuum region has been attempted. The latter case, namely ${}^{24}$O, is chosen as an example of a weakly-bound system. Such a nucleus, being double-magic and not displaying collective low-lying vibrational excitations, is characterized by quite pure neutron single-particle states around the Fermi surface.

29pages, 21figures, 8tables

References in corpus (23)

• Magic numbers in exotic nuclei and spin-isospin properties of {\it NN} interaction
• A consistent analysis of (e,e'p) and (d,3He) experiments
• Continuum Linear Response in Coordinate Space Hartree-Fock-Bogoliubov Formalism for Collective Excitations in Drip-line Nuclei
• Extended Theory of Finite Fermi Systems (Collective Vibrations in Closed Shell Nuclei)
• Covariant theory of particle-vibrational coupling and its effect on the single-particle spectrum
• Ab-initio self-consistent Gorkov-Green's function calculations of semi-magic nuclei - I. Formalism at second order with a two-nucleon interaction
• Dynamics of nuclear single-particle structure in covariant theory of particle-vibration coupling: from light to superheavy nuclei
• Are Occupation Numbers Observable?
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization
• Quenching of spectroscopic factors for proton removal in oxygen isotopes
• Microscopic calculation and LDA of the spatial dependence of the pairing field with bare and induced interactions
• Ab-initio approach to effective single-particle energies in doubly closed shell nuclei
• Non-empirical pairing energy functional in nuclear matter and finite nuclei
• Beyond-mean-field theories with zero-range effective interactions. A way to handle the ultraviolet divergence
• Quasiparticle Renormalization and Pairing Correlations in Spherical Superfluid Nuclei
• Continuum quasiparticle linear response theory using the Skyrme functional for multipole responses of exotic nuclei
• Pairing in the Framework of the Unitary Correlation Operator Method (UCOM): Hartree-Fock-Bogoliubov Calculations
• Second-order equation of state with the full Skyrme interaction: toward new effective interactions for beyond mean-field models
• Nuclear single-particle states: dynamical shell model and energy density functional methods
• Microscopic evaluation of the pairing gap
• On the mechanisms of superfluidity in atomic nuclei
• Subtraction of the spurious translational mode from the RPA response function
• Response function beyond mean field of neutron-rich nuclei

Cited by in corpus (20)

• Time-dependent density-functional description of nuclear dynamics
• Propagation of uncertainties in the Skyrme energy-density-functional model
• Properties of single-particle states in a fully self-consistent particle-vibration coupling approach
• Beyond mean-field boson-fermion model for odd-mass nuclei
• Spectroscopic properties of nuclear Skyrme energy density functionals
• Self-consistent microscopic description of neutron scattering by ${}^{16}$O based on the continuum particle-vibration coupling method
• Shape transitions in odd-mass $\gamma$-soft nuclei within the interacting boson-fermion model based on the Gogny energy density functional
• Well funneled nuclear structure landscape: renormalization
• Towards a self-consistent dynamical nuclear model
• Description of odd-mass nuclei within the interacting boson-fermion model based on the Gogny energy density functional
• Microscopic derivation of the Bohr-Mottelson collective Hamiltonian and its application to quadrupole shape dynamics
• Polarization corrections to single-particle energies studied within the energy-density-functional and QRPA approaches
• Unified description of structure and reactions: implementing the Nuclear Field Theory program
• Regularization of zero-range effective interactions in finite nuclei
• Very low-energy nucleon + 16O coupled-channel scattering: results with a phenomenological vibrational model
• Constraining the relativistic mean-field models from PREX-2 data: Effective forces revisited
• Low lying excited states of ${}^{24}$O investigated by self-consistent microscopic description of proton inelastic scattering
• The 9Li(d,p) reaction, a specific probe of 10Li, paradigm of parity--inverted nuclei around N=6 closed shell
• Symmetry breaking of Gamow-Teller and magnetic-dipole transitions and its restoration in calcium isotopes
• Coupled-cluster computations of optical potential for medium-mass nuclei