Two-Mode Wigner Operator in 〈ξ| Representation and 〈γ| Representation

We derive the two-mode Wigner operator in the 〈ξ| representation and 〈γ| representation, where |ξ〉 is common eigenvector of the mass-weighted relative coordinate and the mass-combinatorial momentum. As an application,we calculate the Wigner function of some two-mode state.     

Evidence for nano-scale inhomogeneities in bilayer manganites in the Mn4+ rich region: 0.54≤x≤0.80

The atomic pair distribution function (PDF) technique is employed to probe the atomic local structural responses in naturally double layered manganites La_2−2xSr_1+2xMn₂O₇ in the doping range 0.54≤x≤0.80. Our low temperature neutron powder diffraction measurements suggest the coexistence of two different Jahn-Teller (JT) distorted MnO₆ octahedra when its ordered magnetic structure crosses over from type A (0.54≤x≤0.66) to type C/C* (0.74≤x≤0.90) ordering. At all doping levels at low temperature the doped holes reside predominantly in the plane of the bilayer. In the type A magnetic ordering regime, the e_g electrons appear to be significantly delocalized in the plane resulting in undistorted octahedra, while in type C/C* regime, elongated JT distorted octahedra are apparent. This is consistent with the presence of inhomogeneous coexisting delocalized and localized electronic states. No evidence of macroscopic phase separation has been observed. Such nanoscale inhomogeneities may explain the magnetically frustrated behavior observed in the spin disordered ‘gap’ region (0.66≤x≤0.74).     

Pion form factor in the range −10 GeV2 ≤ s ≤ 1 GeV2

Based on the field-theory-inspired approach, a new expression for the pion form factor F _π is proposed. It takes into account the pseudoscalar meson loops π⁺π^? and $K\bar K$ and the mixing of ρ(770) with heavier ρ(1450) and ρ(1700) resonances. The expression ensures correct analytical properties and describes the data in the wide range of the energy squared ?10 GeV² ≤ s ≤ 1 GeV² without introducing the phenomenological Blatt-Weisskopf range parameter R _π.     

High-field magnetostriction in CeNiSn1−xGex (0≤x≤1) strongly correlated systems

Magnetization (down to 1.8 K and up to 9 T) and magnetostriction (down to 4.2 K and up to 30 T) measurements have been performed in the series of polycrystalline intermetallics CeNiSn_1?xGe_x (0≤x≤1), which show a crossover from Kondo-lattice to fluctuating valence behaviors with x increase. Magnetostriction observed can be denominated as “colossal” for a paramagnet (up to 0.68% at 150 K and 30 T), with no sign of saturation. Field, H, induced metamagnetic transitions associated to a change in Ce valence are observed. Three kinds of analysis of magnetostriction have been performed to ascertain the magnetostriction origin. At relatively low field and low temperatures these systems follow well the standard theory of magnetostriction (STM), revealing single-ion crystal field and exchange origins, and a determination of the α-symmetry microscopic magnetoelastic parameters have been performed. The valence transition is well explained in terms of the interconfigurational model, which needs an extension up to power H⁴. Application of the scaling (thermodynamics corresponding low states) allows the obtainment of the Grüneisen constant, which increases with x. Needed elastic constants measurements are also reported.     

Evolution of N = 20, 28, 50 shell closures in the 20 ≤ Z ≤ 30 region in deformed relativistic Hartree-Bogoliubov theory in continuum

Magicity,or shell closure,plays an important role in our understanding of complex nuclear phenomena.In this work,we employ one of the state-of-the-art density functional theories,the deformed relativistic HartreeBogoliubov theory in continuum(DRHBc) with the density functional PC-PK1,to investigate the evolution of the N=20,28,50 shell closures in the 20 ≤Z ≤30 region.We show how these three conventional shell closures evolve from the proton drip line to the neutron drip line by studying the cha...     

Lithium/vacancy ordering in the monoclinic LixNiO2 (0.50≤x≤0.75) solid solution

Lithium de-intercalation from the nearly stoichiometric LiNiO₂ phase (z=0.02 in Li_1−zNi_1+zO₂) entails a structural transition from the rhombohedral to the monoclinic symmetry. As this macroscopic lattice distortion appears in a wide composition range (0.50<x<0.75, x in `Li_xNiO₂'), a detailed electron diffraction study has been performed on the intermediate Li_0.63Ni_1.02O₂ composition in order to find the driving force of this transition. A superstructure cell, four times bigger than the one deduced from the X-ray Rietveld refinement, has been derived from the electron diffraction data. The existence of such a superstructure is suggestive of a possible ordering of vacancies among the lithium layers. Indeed, the existence of three lithium crystallographic positions in this supercell allows us to understand, on the one hand, why a monoclinic distortion occurs, and, on the other hand, its composition limits (Li_0.50□_0.25□_0.25′NiO₂ and Li_0.50Li_0.25□_0.25′NiO₂). Moreover, the presence of twinned crystals has also been shown in this monoclinic phase and has been related to the structural change which occurs on lithium de-intercalation from the pristine rhombohedral Li_0.98Ni_1.02O₂ phase.     

Separation of magnetic phases in La1 − x CaxMnO3 manganites with 0.6 ≤ x ≤ 0.9

The magnetic properties of La_{1 ? x} Ca_xMnO₃ solid solutions were studied in wide temperature and magnetic field ranges, T = 2–600 K and H ≤ 50 kOe. Semiconducting compositions with 0.6 < × < 0.9 exhibited an unusual temperature behavior of magnetization and susceptibility with well-defined Curie and Néel temperatures. The simultaneous manifestation of both ferromagnetic and antiferromagnetic properties is evidence of the coexistence of two collinear magnetic phases. The content of impurity ions was shown to have a strong influence on the T _C and T _N values, whereas the ratio between the ferro-and antiferromagnetic phase volumes heavily depended on thermal treatment conditions. The magnetic properties of the whole series of La_{1 ? x} Ca_xMnO₃ solid solutions can be explained in terms of the phase separation model.     

K-doping effect of the superconductivity in K2xFeTe1-xSx (0.07≤x≤0.3)

Bulk samples of K doping K_2xFeTe_1-xS_x with x = 0.07, 0.1, 0.2, 0.3 are successfully prepared by using easy-to-use stable compound K₂S as the reactant. The lattice constant calculated from X-ray diffraction patterns indicate that K ions enter the Fe-Te-S layers. K doping is beneficial enhance the superconductivity transition temperature from the R-T curves. The apparent diamagnetic signal is observed in M-T curves when the content of K is smaller than 0.1. However, differential curves (dM/dT) in K-rich samples appear sharp slope mutations, which means that the Meissner effect signal is covered by the increased excess ferromagnetic ions. The number of excess Fe magnetic ions is proportional to K content, which may play an important role in determining the superconductivity.     

M1 transition energy and rate in the ground configuration of Ag-like ions with 62 ≤ Z ≤ 94

Systematic calculations and assessments are performed for the magnetic dipole(M1)transition energies and rates between the ²F^o_5/2,7/2 levels in the ground configuration 4d104f along the Ag-like isoelectronic sequence with 62≤Z≤94 based on the second-order many-body perturbation theory implemented in the Flexible Atomic Code.The electron correlations,Breit interaction and quantum electrodynamics effects are taken into account in the present calculations.The accuracy and reliability of our results are evaluated through comprehensive comparisons with available measurements and other theoretical results.For transition energies,our results are in good agreement with the recent experimental data obtained from the electron beam ion traps within 0.18%.The maximum discrepancy between our results and those obtained with the large-scale multiconfiguration Dirac–Hartee–Fock calculations by Grumer et al.[Phys.Rev.A 89062501(2014)]is less than 0.13%along the isoelectronic sequence.Furthermore,the corresponding M1 transition rates are also reported.The present results can be used as the benchmark and useful for spectra simulation and diagnostics of astrophysical and fusion plasmas.     

Structure and Physical Properties and Charge Ordering in La2-xSrxMnO4 （1.125 ≤x≤2.0）

Structural measurements have revealed nonlinear changes of lattice parameters in the layered-perovskite manganires La2-xSrxMnO4 with increasing Sr content; these changes can be well understood by means of interactions among the charge, crystal lattice and the orbital degree of freedom in this strongly correlated system. A probably spin-glass transition was detected for the first time in the x=1.75 sample at the temperature of around 44K. Fundamental properties of charge ordering appearing in the range of 1.5 ≤x≤1.75 have been observed at low-temperatures and are interpreted in terms of the Mn^3 -dz^2 orbital ordering.     

Reliability of stopping power tables and codes for heavy ions (8 ≤ Z ≤ 92) in gases

A comparative study of various stopping power tables and codes for heavy ions in gases has been made through comparison of computed values and the corresponding experimental data. Ten gaseous media: five monatomic rare gases (He to Xe), two diatomic gases (H₂, N₂) and three polyatomic gaseous compounds (CH₄, CF₄ and CO₂) have been chosen to study the stopping power investigations of heavy ions (8 ≤ Z ≤ 92) having energy ranges of ∼0.10–10.00 MeV/n and ∼20.00–57.00 MeV/n. We compare the experimental data of stopping power to values calculated using various tables and computer codes by ICRU-73, Ziegler et al (SRIM2003.26), Grande and Schiwietz (CasP3.1), Paul and Schinner (MSTAR3.12), and Bazin and Tarasov (LISE ++:2-ATIMA1.2). On the basis of statistical analysis, we estimate the reliability of these tables and codes. It has been observed that the MSTAR3.12 code shows the best agreement with the experimental data for projectile ions (8 ≤ Z ≤ 18) in the entire energy range. The SRIM2003.26 code provides good results except for some heavy projectiles (Xe, Pb and U). The values tabulated by CasP3.1 code underestimate especially at low energy region. No significant trend is observed in case of LISE++:2-ATIMA1.2 code and ICRU-73 report.     

利用x|x|控制混沌系统

提出了一种新的混沌控制方法，即对混沌动力系统增加一个具有分段二次函数x|x|形式的非线性反馈控制器，利用它控制了一大类系统从混沌运动转化为各种规则的运动.该控制器是一种活动控制器，它不影响原系统的参数，其结构相当简单而且在物理、电路上都容易实现.数值仿真表明了该控制方法的有效性与可行性. 关键词： 混沌 非线性反馈控制器 分段二次函数     

Magnetization of type-ii superconductors in the range of fields H c 1 ≤ H ≤ H c 2Variational Method

A variational method is proposed to find the magnetic field dependence of the magnetization of type-II superconductors in the mixed state by a self-consistent technique. This model allows for suppression of the order parameter to zero at the centers of Abrikosov vortices and also for the magnetic field dependence of the order parameter. The results can be applied to the entire range of fields H _c 1 ≤ H ≤ H _c 2 for any values of the Ginzburg-Landau parameter $\kappa > 1/\sqrt 2$ . It is shown that in weak fields where κ ? 1 the behavior of the magnetization can be described exactly in the London approximation provided that the correct value of H _c 1 is used. Near the second critical field this dependence shows good agreement with the well-known Abrikosov result. It is also shown that using the concept of isolated vortices and applying the principle of superposition of the fields and currents generated by these vortices to calculate the magnetization gives inaccurate quantitative results even in fairly weak fields. By going beyond these concepts, it was possible to allow more accurately for the influence of the vortex cores on the magnetization behavior in the intermediate range of fields H _c 1 ?H ? H _c 2 and to identify the range of validity of various approximations used widely in the literature.     

Phase stratification in the Nd1 − x BaxCoO3 − δ (0.3 ≤ x ≤ 0.54) system

Slowly cooled Nd_{1 ? x} Ba_xCoO_{3 ? δ} samples were two-phase in the concentration interval 0.3 ≤ x ≤ 0.46. One of the phases had O-orthorhombic lattice distortions (Pbnm) characteristic of ferromagnetic samples with x ≤ 0.3, and the other phase had tetragonal distortions (P4/mmm) characteristic of samples with x ≥ 0.46. Tetragonal distortions were caused by ordering of Nd³⁺ and Ba²⁺ ions. Samples with ordered neodymium and barium ions (Nd_{1 ? y} Ba_{1 + y} Co₂O_{6 ? γ} at ?0.08 ≤ y ≤ 0.08) experienced metal-dielectric and orientation magnetic phase transitions.     

L X-ray fluorescence cross sections and yields for mediumZ elements in the energy region 5.47 ≤E ≤ 9.36 keV

TotalL X-ray fluorescence cross sections have been measured in the atomic region 39 Z 51 excited by 5.47, 6.47, 7.04, 7.57, 8.14, 8.74 and 9.36 keV photons. Experimental cross sections are compared with the theoretical estimates of Chen et al. based on relativistic Dirac-Hartree-Slater theory. Good agreement is observed between experimental results and theoretical estimates in the studied atomic and energy region. Experimental fluorescence yields have been evaluated using the experimental fluorescence cross sections and theoretical subshell photoionization cross sections. Fluorescence yields are fitted by least squares to fifth-order polynomials inZ of the form _n a _n z ⁿ and compared with theoretical and earlier fitted values. The deviation of the average fluorescence yield in the atomic region 46Z 51 with new theoretical estimates of , calculated using the ECPSSR (Energy loss Coulomb deflection Perturbed Stationary State Relativistic effects) theory of Brandt and Lapicki and the fitted values clearly indicate the weak dependence of the average fluorescence yield on the initial vacancy distribution.     

Level densities for nuclei with 47 ≤ A ≤ 59

Nuclear level densities of ⁴⁷V, ⁴⁸V, ⁴⁹V, ⁵³Mn, ⁵⁴Mn, ⁵⁷Co, ⁵⁹Ni and their energy dependences are determined from measurements of the neutron evaporation spectra in the (p, n) reaction. Neutron spectra from the (p, n) reaction on nuclei of ⁴⁷Ti, ⁴⁸Ti, ⁴⁹Ti, ⁵³Cr, ⁵⁴Cr, ⁵⁷Fe, and ⁵⁹Co are measured at proton energies between 7 and 11 MeV. The data are analyzed in terms of statistical equilibrium and pre-equilibrium models of nuclear reactions.     

Study of Nuclear Reaction Mechanism in E≤50MeV Energy Region

The contribution on the inelastic scattering spectra of discrete level part mainly comes from direct reactions.For the sigle-particle emission cross section calculated with the statistical theories,when the incident energy is less than 10MeV the main contribution comes from the equilibrium emission,but when the incident energy reaches 20MeV,more than 90% contribution comes from the pre-equilibrium emission.The contribution of the pre-equilibrium process to the second particle emission can be neglected when the incident energy is less than 20MeV and the contribution of the pre-equilibrium process to the third particle emission can be neglected when the incident energy is less than 50MeV.     

An anomaly in the magnetic susceptibility of the Mg1−x CuxO solid solutions with 0.01≤x≤0.20

The problem of localized superconductivity has motivated the preparation of Mg_1−x Cu_xO solid solutions with NaCl structure and 0.01≤x≤0.20, as well as a study of the magnetization and magnetic susceptibility χ in the 2–400 K temperature range and in magnetic fields of up to 5 T. The temperature dependence of χ is described for all compositions by the Curie-Weiss law, χ = C/(T − θ), where the constant C is close to the value calculated for each composition for μ_eff = 1.7–1.9μ_B, and θ is close to zero. For T < 30 K, χ(T) deviates for all compositions toward lower χ, which can be attributed to magnetic ordering of exchange-coupled clusters in the solid solution. At T∼320–330 K, an anomaly of a diamagnetic type, i.e., a decrease of χ by 6–30% of its paramagnetic value, has been observed for all compositions against the background of the generally paramagnetic χ(T). A discussion is presented of alternative reasons for this anomaly and of its possible connection with localized superconductivity. __________ Translated from Fizika Tverdogo Tela, Vol. 42, No. 4, 2000, pp. 701–703. Original Russian Text Copyright ? 2000 by Samokhvalov, Arbuzova, Viglin, Naumov, Smolyak, Korolev, Lobachevskaya.