Comparison between the Thomas–Fermi and Hartree–Fock–Bogoliubov Methods in the Inner Crust of a Neutron Star: The Role of Pairing Correlations

We investigated the role of a pairing correlation in the chemical composition of the inner crust of a neutron star with the extended Thomas–Fermi method, using the Strutinsky integral correction. We compare our results with the fully self-consistent Hartree–Fock–Bogoliubov approach, showing that the resulting discrepancy, apart from the very low density region, is compatible with the typical accuracy we can achieve with standard mean-field methods.

Role of correlations in two-neutron transfer reactions

This work presents theoretical results compared with the experimental data for the two–neutron transfer angular distribution in which a beam of 18O nucleus, at 84 MeV incident energy, has collided onthe 13C, 28Si, and 64Ni targets. The two-neutron transfer in the 9Be(7Be,9Be)7Be reaction, at 23.1 MeV incident energy, was also analyzed. The main goal was to verify the relevance of the pairing correlation of the two transferred neutrons on the cross sections and to show its role when both neutrons are transferred to states with a low and high degree of collectivity.

The evolution of pairing correlation in the anisotropic triangular lattice

By using the determined quantum Monte Carlo method, we explore the evolution of the pairing correlation depending on doping and frustration in the two-dimensional Hubbard model on an anisotropic triangular lattice. In the full frustrated system where the nearest hoping term [Formula: see text] is equal to the next nearest hoping [Formula: see text], the [Formula: see text]-wave pairing dominates over [Formula: see text] as the electron filling [Formula: see text]. The [Formula: see text] superconducting pairing tends to be dominated as the frustration [Formula: see text] decreases, and the decreasing electron fillings also push the system into a possible [Formula: see text] superconducting state. Our intensive nonbiased numerical results reveal the competition between [Formula: see text] and [Formula: see text] superconducting pairing states, clarifying the different pairing symmetries in the [Formula: see text]-(BEDT-TTF)[Formula: see text] family of organic charge transfer salts.