Deformed K− nuclei in the Skyrme–Hartree–Fock approach

The properties of kaonic nuclei are studied using a two-dimensional Skyrme–Hartree–Fock model with a $KN$ Skyrme force. We focus in particular on the instability of the solutions for a too strong $KN$ interaction, which determines a maximum value of the kaon binding in this approach. We then analyze the change of the deformation properties of several core-deformed nuclei caused by the added kaon, and find a shrinking of the core and in some cases a complete loss of deformation.

Calculation of charge form factor of elastic electron scattering based on Skyrme force and relativistic eikonal approximation

We construct a scheme to calculate the charge form factors for the elastic electron scattering. Our calculation is based on the relativistic eikonal approximation and the Skyrme–Hartree–Fock equation. To perform our calculation and benchmark the results, eight model nuclei with available experimental data: [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], and [Formula: see text] are considered. For the comparison, the charge form factors calculated by the relativistic mean-field (RMF) model are also provided. Parameter set SLy5 is utilized for the Skyrme force, and the set NL3 is applied for the RMF model. It has been confirmed that combining of a nonrelativistic treatment for the target nucleus with a relativistic treatment for the incident electron may work better to reach highly descriptive and predictive results similar to the pure relativistic treatment. The results of this work are also useful for future experiments to test different inputs of densities for a specific nucleus.

Hyperon puzzle of neutron stars with Skyrme force models

We consider the so-called hyperon puzzle of neutron star (NS). We employ Skyrme force models for the description of in-medium nucleon–nucleon (NN), nucleon–Lambda hyperon ([Formula: see text]) and Lambda–Lambda ([Formula: see text]) interactions. A phenomenological finite-range force (FRF) for the [Formula: see text] interaction is considered as well. Equation of state (EoS) of NS matter is obtained in the framework of density functional theory, and Tolman–Oppenheimer–Volkoff (TOV) equations are solved to obtain the mass-radius relations of NSs. It has been generally known that the existence of hyperons in the NS matter is not well supported by the recent discovery of large-mass NSs ([Formula: see text]) since hyperons make the EoS softer than the one without them. For the selected interaction models, [Formula: see text] interactions reduce the maximum mass of NS by about 30%, while [Formula: see text] interactions can give about 10% enhancement. Consequently, we find that some Skyrme force models predict the maximum mass of NS consistent with the observation of [Formula: see text] NSs, and at the same time satisfy observationally constrained mass-radius relations.

KAONIC NUCLEI IN THE SKYRME–HARTREE–FOCK APPROACH

We determine the properties of kaonic (K-) nuclei in the Skyrme–Hartree–Fock nuclear structure approach. We use a standard chiral model with adjustable interaction strength for the kaon–nucleon interaction. The sensitivity to details of the nuclear Skyrme force, in particular, the nuclear compressibility, is studied. We find instabilities for a too strong kaon–nucleon interaction, which effectively limits the maximum binding of the kaon in this approach.