[en] In this paper, by using the collective coordinate of Bohr and phenomenological deformed optical potentials, the scattering amplitudes of two composite-particle systems can be obtained. And the collective excitation for two composite-partical systems in the scattering process is discussed

[en] We calculate the angular distributions of elastic and inelastic scatterings from vibrational nuclei by using optical potential. The neutron and proton transition densities can be studied by comparing π⁺ and π^- scattering on the nucleus. The importance of the virtual excitation of vibrational levels in calculating the differential cross section is discussed

[en] The local magnetism induced by vacancies in the presence of the spin–orbit interaction is investigated based on the half-filled Kane–Mele–Hubbard model on the honeycomb lattice. Using a self-consistent mean-field theory, we find that the spin–orbit coupling will enhance the localization of the spin moments near a single vacancy. We further study the magnetic structures along the zigzag edges formed by a chain of vacancies. We find that the spin–orbit coupling tends to suppress the counter-polarized ferrimagnetic order on the upper and lower edges, because of the open of the spin–orbit gap. As a result, in the case of the balance number of sublattices, it will suppress completely this kind of ferrimagnetic order. But, for the imbalance case, a ferrimagnetic order along both edges exists because additional zero modes will not be affected by the spin–orbit coupling. - Highlights: • Spin–orbit coupling (SOC) localizes a vacancy-induced magnetism on honeycomb lattice. • SOC suppresses counter-polarized magnetism on both inner edges around vacancy chain. • Zero mode protects magnetism around vacancy chain with odd number of sites from SOC

[en] The spin fluctuations and superconducting pairing symmetries in the dispersive band of Lieb lattice are studied by fluctuation exchange approximation. The antiferromagnetic spin density wave is found to exist on the A sublattice (the lattice sites with four nearest neighbors) at half filling. When slightly doped away from half filling, a balance between the combined effects of the (π,π) and (0.4π,0) spin fluctuations and the gaining of the condensation energy leads to the nearly degenerate d_x_"2_−_y_"2- and g_x_y_(_x_"2_−_y_"2_)-wave pairing states. After further doped, the d_x_y-wave state is favored via the intra-sublattice spin fluctuations with a wave vector (π,0). We emphasize that the sublattices' contribution and the renormalization of the spectral function play a crucial role on the spin fluctuations and the pairing symmetry. The effect of the imbalance of the on-site energy at different sublattices is also discussed. - Highlights: • Staggered AFM order only forms on the sites with four nearest neighbors. • AFM spin fluctuation and condensation energy lead to degeneracy of d and g waves. • Spectral renormalization leads to different sublattice dominant d_x_y wave

[en] A two-photon fluorescent probe (ACaCL) that can detect near-membrane Ca²⁺ is reported. This probe can be excited by 780 nm fs pulses, shows high photostability and negligible toxicity, and can visualize near-membrane Ca²⁺ in live cells and deep inside live tissues by two-photon microscopy

[en] Phase relationship and electric conductivity of the Na_3+xZr_2-xYb_xSi₂PO₁₂ system are investigated. A continuous solid solution with structure changes is found in this system. The conductivity of the solid solution decreases in different degree depending on the phase composition. The system is compared with Na₃Zr_2xYb_xSi_2-xP_1+xO₁₂ and Na_3+xZr₂Si_2+xP_1-xO₁₂ systems and the results are discussed. (author). 14 refs.; 4 figs.; 1 tab

[en] A local energy conservation law is proposed for the Klein–Gordon–Schrödinger equations, which is held in any local time–space region. The local property is independent of the boundary condition and more essential than the global energy conservation law. To develop a numerical method preserving the intrinsic properties as much as possible, we propose a local energy-preserving (LEP) scheme for the equations. The merit of the proposed scheme is that the local energy conservation law can hold exactly in any time–space region. With the periodic boundary conditions, the scheme also possesses the discrete change and global energy conservation laws. A nonlinear analysis shows that the LEP scheme converges to the exact solutions with order O(τ"2 + h"2). The theoretical properties are verified by numerical experiments. (paper)

[en] In this article, we review the recent theoretical works on the spin fluctuations and superconductivity in iron-based superconductors. Using the fluctuation exchange approximation and multi-orbital tight-binding models, we study the characteristics of the spin fluctuations and the symmetries of the superconducting gaps for different iron-based superconductors. We explore the systems with both electron-like and hole-like Fermi surfaces (FS) and the systems with only the electron-like FS. We argue that the spin-fluctuation theories are successful in explaining at least the essential part of the problems, indicating that the spin fluctuation is the common origin of superconductivity in iron-based superconductors. (topical review - iron-based high temperature superconductors)

[en] A new explicit scheme for the Korteweg–de Vries (KdV) equation is proposed. The scheme is more stable than the Zabusky–Kruskal scheme and the multi-symplectic six-point scheme. When used to simulate the collisions of multi-soliton, it does not show the nonlinear instabilities and un-physical oscillations. (general)

[en] We propose a new multi-symplectic integrating scheme for the Korteweg-de Vries (KdV) equation. The new scheme is derived by concatenating spatial discretization of the multi-symplectic Fourier pseudospectral method with temporal discretization of the symplectic Euler scheme. The new scheme is explicit in the sense that it does not need to solve nonlinear algebraic equations. It is verified that the multi-symplectic semi-discretization of the KdV equation under periodic boundary conditions has N semi-discrete multi-symplectic conservation laws. We also prove that the full-discrete scheme has N full-discrete multi-symplectic conservation laws. Numerical experiments of the new scheme on the KdV equation are made to demonstrate the stability and other merits for long-time integration. (general)