Spatial correlation of a particle-hole pair with a repulsive isovector interaction

We study the spatial correlation of a particle-hole pair in the isovector channel in Co-56 and K-40 nuclei. To this end, we employ the Hartree-Fock+Tamm-Dancoff approximation with the Skyrme interaction. We find a large concentration of the two-body density at positions where the neutron particle and the proton hole states locate on the opposite side to each other with respect to the core nucleus. This feature originates from a repulsive nature of the isovector residual interaction, which is in stark contrast to the dineutron correlation with an attractive pairing interaction between the valence neutrons discussed, e.g., in Li-11 and He-6.

Automated summary

This study investigates the spatial correlation of a particle-hole pair in the isovector channel in Co-56 and K-40 nuclei using the Hartree-Fock+Tamm-Dancoff approximation with the Skyrme interaction. The results show a significant concentration of the two-body density at positions where the neutron particle and proton hole states are located opposite to each other with respect to the core nucleus in the isovector channel.