Pairing correlations and resonant states in the relativistic mean field theory

Abstract

We present a simple scheme for taking into account the resonant continuum coupling in the Relativistic Mean Field- BCS (RMF-BCS) calculations. In this scheme, applied before in non-relativistic calculations, the effect of the resonant continuum on pairing correlations is introduced through the scattering wave functions located in the region of the resonant states. These states are found by solving the relativistic mean field equations with scattering-type boundary conditions for continuum spectrum. The calculations are done for the neutron-rich Zr isotopes. It is shown that the sudden increase of the neutron radii close to the neutron drip line, the so-called giant halo, is determined by a few resonant states close to the continuum threshold.

14 pages, 6 figures, revtex4

Cited by in corpus (19)

• Predictive power for superheavy nuclear mass and possible stability beyond the neutron drip line in deformed relativistic Hartree-Bogoliubov theory in continuum
• Real stabilization method for nuclear single particle resonances
• Living on the edge of stability, the limits of the nuclear landscape
• Green's function method for single-particle resonant states in relativistic mean field theory
• Isospin dependence of pseudospin symmetry in nuclear resonant states
• Proton and neutron skins of light nuclei within the Relativistic Mean Field theory
• Giant neutron halos in the non-relativistic mean field approach
• Alpha-decay chains of ${}_{173}^{288}115$ and ${}_{172}^{287}115$ in the Relativistic Mean Field theory
• Spectroscopic factors for alpha decay in the $N_p{N}_n$ scheme
• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
• Jost function based on the Hartree-Fock-Bogoliubov formalism
• Study of single-particle resonant states with Green's function method
• Neutron drip line of $Z=9-11$ isotopic chains
• A systematic study of neutron magic nuclei with N = 8, 20, 28, 50, 82, and 126 in the relativistic mean field theory
• Probing exotic $J^{PC}$ resonances from deeply bound charmoniumlike molecules: Insights for identifying exotic hadrons
• Role of pairing interaction in neutron rich odd and even Zr nuclei
• A systematic study on the binding energy of $\Lambda$ hypernuclei
• Strange baryons, nuclear dripline and shrinkage : A Relativistic Mean Field study
• Models for Pairing Phenomena