We review the measurements of the D decay strong-phase parameters based on quantum-correlated D⁰\overline{D}⁰ pairs produced in the e⁺e⁻ → Ψ(3770) → D⁰\overline{D}⁰ process, and we discuss their role in the measurements of Cabibbo-Kobayashi-Maskawa angle γ and D-\overline{D} mixing. In addition, we present estimates of the size of quantum-correlated datasets necessary to support the γ and charm mixing measurements conducted at the LHCb and Belle II experiments. Finally, we review the methods for measuring the D–\overline{D} mixing and CP violation parameters at a high-luminosity charm factory, giving sensitivity estimates.

We performed a first-principles study of the electronic, elastic, and thermal properties of the rareearth hexaboride CeB₆ using the local density approximation (LDA) in consideration of the effective onsite Coulomb parameter U_eff. To systemically evaluate the effect of U_eff on the structure of the material, the dependences of the lattice parameter a₀ and bulk modulus B on U_eff were examined in the framework of the LDA+U and GGA(PBE)+U scheme. We obtained a lattice constant a₀, elastic constants C_ij , and a bulk modulus B at 0 K and 0 GPa that were in good agreement with the experimental results and other theoretical findings. We focused on the electronic structure by analyzing the variation of the density of states with different U_eff values and pressures, which indicates the metallic characteristic of CeB₆. Interestingly, the effect of high pressure was similar to that of increasing U_eff , as the peaks at the bottom of the conduction band moved to the high-energy region in both cases. The elastic constants C_ij , bulk modulus B, shear modulus G, Young’s modulus E, shear-sound velocity V_S, and longitudinal-sound velocity V_L were calculated from 0 to 120 GPa. Additionally, the Debye temperature Θ_D and elastic Debye temperature Θ_E were systematically calculated using the thermodynamic methods in the range of 0–100 GPa. This research may provide a comprehensive understanding of the Kondo compound CeB₆ and similar rare-earth hexaborides.

Owing to the renewed interest in dark matter after the upgrade of the large hadron collider and its dedication to dark-matter research, it is timely to reassess the whole problem. Considering dark matter is one way to reconcile the discrepancy between the velocity of matter in the outer regions of galaxies and the observed galactic mass. Thus far, no credible candidate for dark matter has been identified. Here, we develop a model accounting for observations by rotations and interactions between rotating objects analogous to magnetic fields and interactions with moving charges. The magnitude of these fields is described by a fundamental constant on the order of 10⁻⁴¹kg⁻¹. The same interactions can be observed in the solar system, where they lead to small changes in planetary orbits.