Observation of the decay τ → πv

The decay of the heavy lepton τ into πv has been established using the magnetic detector PLUTO. The branching ratio is determined to be BR(τ→πv)=(9.0 ± 2.9)% with an additional systematic uncertainty of 2.5%. This value is in good agreement with the theoretical prediction.     

Radiative muon capture for N = Z nuclei

The commonly used elementary hamiltonian of radiative muon capture has been confirmed, while the alternative Hwang-Primakoff approach is shown not to be gauge invariant.In the inclusive process on N = Z nuclei, the closure approximation is avoided by using a realistic nuclear excitation spectrum.The study is exemplified by a detailed application to ⁴⁰Ca. Predictions are given for the high-energy photon spectrum, circular polarization and asymmetry with respect to the muon polarization for various values of the pseudoscalar coupling constant g_p. A semi-quantitative agreement is found with the data on the spectrum; more precise experiments are necessary to determine g_p.     

A measurement of the KL0p elastic cross section for 3 ⩽p⩽13 GeV/c and 0.1⩽|t|⩽1.3 GeV2

The cross section for the K_L⁰p elastic scattering has been measured for the first time. The incident momentum and momentum transfer ranges are 3 ?p? 13 GeV/c, 0.1 ? |t| ? 1.3 GeV². The results are compared to those of other experiments related to ours by isotopic spin conservation, finding agreement with some and discrepancies with others. The differential cross sections have been parametrized in the form Ae^bt. The coefficients show little or no dependence on energy, with A ? 9.8 mb · GeV^?2and b ? 4.7 GeV^?2. The effective linear trajectory has been determined and gives α₀ = 0.95 ± 0.15, α′ = ?0.35 ± 0.48 GeV^?2, in good agreement with dominance by pomeron exchange.     

Raman scattering from 2H and 3R–NbS2

Raman scattering experiments have been carried out on 2H-NbS₂ crystals and 3R-NbS₂ crystals. The spectra obtained from both compounds have been found to contain all the Raman active modes predicted by group theory. A nearest-neighbour lattice dynamics model has also been used to analyze the spectra and qualitative agreement with the experimental results is obtained. The results are also discussed in terms of the modifications expected in the Raman spectra obtained from different polytypes of the same layered compound. Some discrepancies with previously reported results are found.     

Dynamical calculation of the decay ψ′ → ψ + 2π

We calculate the ψ′ → ψ + 2π decay width on the basis of partial wave dispersion relations in the ππ channel. This is basically a coupled channel problem involving ππ, D$\text{D}$, etc. intermediate states. The calculation acquires anomalous thresholds due to the fact that the vertex ψ′ ψ (2π) is internally unstable. It is found that anomalous singularity contributions provide by far the most dominant contribution, which explains the rather large ψ′ → ψ + 2π decay mode. Very good agreement with the experimental width and mass distribution is achieved.     

Electronic structures of the LaBO3 (B = Co, Fe, Al) perovskite oxides related to their catalysis

The discrete-variational (DV) X α molecular orbital method has been applied to investigate the bulk and surface electronic structures of perovskite oxides such as LaCoO₃, LaFeO₃ and LaAlO₃. The calculated XPS spectra for these oxides are in good agreement with the experimental ones and only the LaCoO₂ exhibited a rather high electron density of states near the Fermi level (E_F). The catalytic behavior of these oxides is discussed on the basis of their electronic structures; the marked catalysis by LaCoO₃ is associated with electron occupation of crystal field d states near E_F and with the buildup of surface charge so as to enhance the electron transfer between a surface cation and an interacting molecule.     

Line parameters of the oxygen A band and calculation of the atmospheric transmission functions for the A, B, and γ bands

Self- and nitrogen-broadened absorptions of the oxygen A band have been measured using a long pathlength, multiple-traversal absorption cell. Comparison of measured band absorptions with values calculated from the line parameters determined by several investigators under high resolution shows that the line intensities and half-widths reported by Miller, Giver, and Boese provide the best agreement with our data. Atmospheric transmissions for the oxygen A, B, and γ bands have been evaluated by line-by-line integration for these line parameters.     

Mass gap and universality for euclidean O(N) and CPN−1 models

From a suitably defined correlation function we evaluate the strong coupling expansion for the mass gap of an euclidean version of the O(N) models in 2D. Good agreement is found for N = 0, 1 and 2 with the known values of the critical temperature and for N ? 3 with the continuum mass gap as evaluated in an hamiltonian approach. Another test of universality based on the use of an asymmetric lattice also yields good results. An analogous discussion for the CP^N?1 models is performed.     

Higher order reggeon field theory results for dσ/dt

The critical reggeon field theory (RFT) asymptotic scaling law for dσ/dt can be evaluated using the ε expansion for renormalization group (RG) quaatities at t ≠ 0 along with the two variable RG equations found by Abarbanel, Bartels, Bronzan and Sidhu (ABBS). The amplitude thus obtained has an ε-exponentiated form. Interestingly, it reduces in a certain limit to the Bessel function pomeron model advocated by Kane. We perform a systematic numerical study here.Our results are as follows. Although the asymptotic RFT scaling is violated by the data, introduction of a mild external particle vertex with one parameter improvesthe situation considerably at current energies. Moreover, the shape of the ABBS scaling curve predicted by the O(ε²) results of Dash and Grandou is in at least qualitative agreement with the data, including the absence of a second dip. Two additional parameters (the t = 0 normalization and the scale in t) have to be fixed by hand.The overall conclusion is that in spite of many a priori objections the asymptotic RFT does a surprisingly good job of describing both the s and t dependence of dσ/dt at current energies.     

The vector and tensor exchange contributions to πN → πN

Using fixed-t dispersion relations together with experimental data on π^?p → π⁰n we determine the real and imaginary parts of the s-channel helicity amplitudes (SHA) of the vector (?) exchange contribution to πN → πN. The results are in good agreement with amplitude analyses. We also make comparison with finite-energy sum-rules (FESR) and discuss certain implications. Furthermore, on the basis of two-component duality and FESR we calculate the tensor (f) contribution. The t-structure of the resulting SHA is compared with independent information on hadronic tensor exchanges.     

Oscillator strengths for the 2s2, 2p2, 2s3s(1S)-2s2p(1P) transitions of B(II)

Accurate configuration interaction wavefunctions for the 2s²(¹S), 2p²(¹S), 2s3s(¹S) and 2s2p (¹P) states of B(II) are calculated in a single optimized orbital basis of 7s, 6p and 4d Slater-type orbitals. 95, 84, 57 and 90% of the correlation energies, respectively, are realized by these wavefunctions. Oscillator strengths for the three ¹S-¹P transitions are calculated from these and from less accurate wavefunctions in the same orbital basis. The length values obtained from our most accurate wavefunctions, in order of increasing ¹S energy, are 0.9885, 0.202 and 0.007. The degree of accuracy of these oscillator strengths is estimated by noting the convergence to final values as increasing percentages of correlation energies are included in the wavefunctions together with the increasing agreement between length and velocity formulas. The exact theoretical oscillator strength for the resonant line is projected to be 0.985 with an error almost certainly not greater than ±0.015. The theoretical oscillator strengths for the other lines are considered to be 0.21±0.02 and less than 0.007, respectively.     

Electron spin resonance on GdxMo6Se8 (x = 1.0 and 1.2)

Electron spin resonance of Gd³⁺ in Gd_xMo₆Se₈ (x = 1.0 and 1.2) has been measured in X-band and in K-band between 1.4 and 290 K. The results indicate that the conduction electron - Gd³⁺ spin exchange coupling constant is positive and equal to +0.011 eV, in agreement with previous determinations based on superconductivity and static magnetic susceptibility measurements.     

Predicting lepton flavor mixing from Δ(48) and generalized CP symmetries

We propose to understand the mixing angles and CP-violating phases from the Δ(48) family symmetry combined with the generalized CP symmetry. A model-independent analysis is performed by scanning all the possible symmetry breaking chains. We find a new mixing pattern with only one free parameter, excellent agreement with the observed mixing angles can be achieved and all the CP-violating phases are predicted to take nontrivial values. This mixing pattern is testable in the near future neutrino oscillation and neutrinoless double-beta decay experiments. Finally, a flavor model is constructed to realize this mixing pattern.     

Magnetic properties of Fe1−xCoxO

Measurements are reported for the magnetic susceptibility of solid solutions Fe_1-xCo_xO for compositions with x =0.10 to 0.95 and for the temperature range 4.2 to 600 K. It is found that the Curie-Weiss law is obeyed at high temperatures while the dependence of the susceptibility and transition temperature on composition appear to be in good agreement with the “virtual crystal” approximation.     

Dielectric response of (KBr)1−x(KCN)x dilute compounds — distribution of relaxation times

We argue on the dielectric response of the (KBr)_1?x(KCN)_x dilute compounds in relation to the reorientation processes of the CN^? ions. In these compounds the distribution of the activation energies of such processes is naturally expected. This distribution leads to the distribution of the dielectric relaxation times whose width strongly depends on temperature. This is in agreement with the experiments.     

Optical constants of copper in s-d model

A non-interacting s-d band model is used to evaluate ?₂(ω) in copper. The free electron approximation is used for electrons in s-band, while a simplified tight-binding scheme is used for the d-electrons. It is found that only d-bands with m = 0 contribute to optical transitions. The transition matrix elements are explicitly calculated. The calculated ?₂(ω) gives reasonable agreement with measured optical conductivity.     

The inclusive K/π production ratio in the central region

The inclusive K/π production ratio in the central region is studied on the generalized f,f′-coupled Pomeron model. When compared with recent ISR experiments, it is in good agreement with our prediction. The experimental indication for the π/p ratio is also discussed.     

Electronic g factors eleven atomic states of Zr

The g_j for eleven low-lying levels of Zr I have been measured with the atomic-beam magnetic resonance method. The agreement between the experimental g_J values and theoretical predictions deduced from intermediate coupling wave functions is better than 0.1%.     

Oscillator strengths for 3dn4s → 3dn4p transitions in the iron series

The observed oscillator strengths for the 3dⁿ4s → 3dⁿ4p transitions in the iron series show anomalous behaviour for Cr and Mn : the former is exceedingly small whereas the latter is unusually large.Theoretical Hartree-Fock gf-values are reported and a considerable discrepancy with experimental values is noted for Cr. The effect of the interaction of 3dⁿ4p with 3d^n?14s4p is studied using a fixed core, multi-configuration Hartree-Fock approximation. This interaction does not improve significantly the agreement with observed values.     

A comparative study of the P and Q representations of a feedback controlled two-qubit system

In this Letter the Master equation of a two qubit system is transformed into Fokker-Planck equations in order to find the Glauber-Sudarshan P function representation. For the two qubit system examined in this Letter, the P representation is ill defined, which indicates the system is non-classical. A qualitative measure of the non-classical nature of the system is found by taking the semi-classical limit of the Fokker-Planck equation and obtaining a simplified Glauber-Sudarshan P representation. The agreement between the simplified P representation and the Q representation as well as the system stability are discussed when feedback is present and absent.