Theoretical study of the two-proton halo candidate ${}^{17}$Ne including contributions from resonant continuum and pairing correlations

Abstract

With the relativistic Coulomb wave function boundary condition, the energies, widths and wave functions of the single proton resonant orbitals for ${}^{17}$Ne are studied by the analytical continuation of the coupling constant (ACCC) approach within the framework of the relativistic mean field (RMF) theory. Pairing correlations and contributions from the single-particle resonant orbitals in the continuum are taken into consideration by the resonant Bardeen-Cooper-Schrieffer (BCS) approach, in which constant pairing strength is used. It can be seen that the fully self-consistent calculations with NL3 and NLSH effective interactions mostly agree with the latest experimental measurements, such as binding energies, matter radii, charge radii and densities. The energy of $\pi$2s${}_{1/2}$ orbital is slightly higher than that of $\pi 1d_{5/2}$ orbital, and the occupation probability of the $(\pi$2s${}_{1/2}{)}^2$ orbital is about 20%, which are in accordance with the shell model calculation and three-body model estimation.

References in corpus (7)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Neutron halo in deformed nuclei
• First Penning-trap mass measurement in the millisecond half-life range: the exotic halo nucleus 11Li
• Deformed relativistic Hartree Bogoliubov theory in continuum
• Pairing correlations and resonant states in the relativistic mean field theory
• Diproton correlation in a proton-rich Borromean nucleus 17Ne
• Effect of proton-proton Coulomb repulsion on soft dipole excitations of light proton-rich nuclei

Cited by in corpus (5)

• Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum
• Green's function method for the single-particle resonances in a deformed Dirac equation
• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
• Study of single-particle resonant states with Green's function method
• Particle number conserving BCS approach in the relativistic mean field model and its application to ${}^{32-74}$Ca