Measurement of the {\rm\bf B_{\bf d}^{\bf 0}- {\bf \bar{B}}_{\bf d}^{\bf 0}} oscillation frequency

Time-dependent mixing is studied using about two million hadronic Z decays registered by L3 in 1994 and 1995. For this study three techniques are used. Tagging of the b-quark charge at decay time is performed by identifying leptons from semileptonic B decays. The flavour of the b quark at production time is determined from the charge of the lepton in the opposite hemisphere or by using a jet-charge technique. The proper time of the B-particle decay is obtained by reconstructing the production and decay vertices or by a measurement of the lepton impact parameter. The combined result for the frequency of meson oscillations is Received: 20 February 1998 / Revised version: 23 March 1998 / Published online: 12 August 1998     

The relevance of {\mathbf{\gamma^*_{\mathrm{L}}}} in hard collisions of virtual photons

We explore the relevance of extending the concept of the partonic structure to the longitudinally polarized virtual photon involved in hard collisions. We show that for moderate photon virtualities and in the kinematical region accessible in current experiments at HERA and LEP, the contributions of its longitudinal polarization to hard collisions are sizable and should be taken into account as part of the resolved photon component. Received: 30 March 2000 / Published online: 6 July 2000     

Robust chaos synchronization based on adaptive fuzzy delayed feedback ${\bf{\mathcal{H}}}_{\bf{\infty}}$ control

In this paper, we propose a new adaptive H_￥\mathcal H_\infty synchronization strategy, called an adaptive fuzzy delayed feedback H_￥\mathcal H_\infty synchronization (AFDFHS) strategy, for chaotic systems with uncertain parameters and external disturbances. Based on Lyapunov–Krasovskii theory, Takagi–Sugeno (T–S) fuzzy model and adaptive delayed feedback H_￥\mathcal H_\infty control scheme, the AFDFHS controller is presented such that the synchronization error system is asymptotically stable with a guaranteed H_￥\mathcal{H}_{\infty } performance. It is shown that the design of the AFDFHS controller with adaptive law can be achieved by solving a linear matrix inequality (LMI), which can be easily facilitated by using some standard numerical packages. An illustrative example is given to demonstrate the effectiveness of the proposed AFDFHS approach.     

{\bar{\rm P}}{\rm ANDA} at FAIR

The ${\bar{\rm P}}{\rm ANDA}$ experiment represents the central part of the hadron physics branch of the antiproton program of the new Facility for Antiproton and Ion Research (FAIR) at Darmstadt/Germany. It will investigate antiproton annihilations with an almost 4?? acceptance from two sequent spectrometer in the momentum range from 1.5?to 15?GeV/c. The gluon rich reaction product of antiproton-proton and antiproton-nucleus collisions on one hand and the high intensity and phase space cooled antiproton beam of the HESR on the other hand constitutes an ideal environment to study the sector of non-conventional hadronic states.     

Hyperfine induced {\sf 1 s}{\sf 2 s}\ ^{\sf 1}S_{\sf 0} \rightarrow {\sf 1 s}^{\sf 2}\ ^{\sf 1}S0 M1 transition of He-like ions

Hyperfine induced $1s2s\ ^1$ S $_0 \rightarrow 1s^2\ ^1$ S₀ M1 transition probabilities of He-like ions have been calculated from relativistic configuration interaction wavefunctions including the frequency independent Breit interaction and QED effects. Present results for ¹⁵¹Eu and ¹⁵⁵Gd are in good agreement with previous calculations [L.N. Labzowsky et al., Phys. Rev. A 63, 054105 (2001)]. Electronic data are given in terms of a general scaling law in Z that, given isotopic nuclear spin and magnetic moment, allows hyperfine induced decay rates to be estimated for any isotope. The results should be helpful for future experimental investigations on QED and parity non-conservation effects.     

Intensity ratios of mesonic x-ray linesK_{\alpha _1 } , K_{\alpha _2 } andL_{\alpha _1 } , L_{\beta _2 }

Intensity ratios ofμ-mesonic x-rays in some heavy elements are discussed. Intensity ratios of the \(K_{\alpha _1 } /K_{\alpha _2 } \) and \(L_{\alpha _1 } /L_{\beta _2 } \) lines have been calculated for²⁰⁶Pb,²⁰⁹Bi and²³⁸U with relativistic wavefunctions and retardation effect. Though for a refined calculation, it is necessary to take into consideration several features that are peculiar to mesonic atoms, the present calculations have shown that the observed intensity ratios of mesonic x-rays are not anomalous.     

Measurement of the Michel Parameter $${\xi^{\prime}}$$ in Tau-Lepton Decays at the Super Charm-Tau Factory

Physics of Atomic Nuclei - In this paper, we present a feasibility study of the first measurement of the longitudinal polarization of a muon from the $$\tau$$ -lepton decay to extract the Michel...     

Study of Bose-Einstein correlations in {\rm e}^ + {\rm e}^-\to {\rm W}^ + {\rm W}^- events at LEP

Bose-Einstein correlations between like-sign charged-particle pairs in events recorded with the OPAL detector at LEP at centre-of-mass energies between 183 GeV and 209 GeV are studied. Recently proposed methods which allow direct searches for correlations in the data via distributions of test variables are used to investigate the presence of correlations between hadrons originating from different W bosons in events. Within the statistics of the data sample no evidence for inter-WW Bose-Einstein correlations is obtained. The data are also compared with predictions of a recent implementation of Bose-Einstein correlation effects in the Monte Carlo model PYTHIAReceived: 24 March 2004, Revised: 7 June 2004, Published online: 20 July 2004     

Total \gamma^{\star}\gamma^{\star} cross section and the QCD dipole picture

In the framework of the dipole picture of the BFKL pomeron we discuss two possibilities of calculating the total cross section of the virtual photons. It is shown that the dipole model reproduces the results obtained earlier from -factorization up to the selection of the scale determining the length of the QCD cascade. The choice of scale turns out to be important for the numerical outcome of the calculations. Received: 12 June 1997 / Published online: 20 February 1998     

Noncommutative Independence from the Braid Group $${\mathbb{B}_{\infty}}$$

We introduce ‘braidability’ as a new symmetry for infinite sequences of noncommutative random variables related to representations of the braid group \({\mathbb{B}_{\infty}}\) . It provides an extension of exchangeability which is tied to the symmetric group \({\mathbb{S}_{\infty}}\) . Our key result is that braidability implies spreadability and thus conditional independence, according to the noncommutative extended de Finetti theorem [Kös08]. This endows the braid groups \({\mathbb{B}_{n}}\) with a new intrinsic (quantum) probabilistic interpretation. We underline this interpretation by a braided extension of the Hewitt-Savage Zero-One Law. Furthermore we use the concept of product representations of endomorphisms [Goh04] with respect to certain Galois type towers of fixed point algebras to show that braidability produces triangular towers of commuting squares and noncommutative Bernoulli shifts. As a specific case we study the left regular representation of \({\mathbb{B}_{\infty}}\) and the irreducible subfactor with infinite Jones index in the non-hyperfinite I I ₁-factor L \({(\mathbb{B}_{\infty})}\) related to it. Our investigations reveal a new presentation of the braid group \({\mathbb{B}_{\infty}}\) , the ‘square root of free generator presentation’ \({\mathbb{F}^{1/2}_{\infty}}\) . These new generators give rise to braidability while the squares of them yield a free family. Hence our results provide another facet of the strong connection between subfactors and free probability theory [GJS07]; and we speculate about braidability as an extension of (amalgamated) freeness on the combinatorial level.     

Search for new physics in dijet mass and angular distributions in pp collisions at {\boldsymbol{\sqrt{\boldsymbol{s}}} \boldsymbol{=} {\bf 7}} TeV measured with the ATLAS detector

We present a search for physics beyond the Standard Model in proton?Cproton collisions at a centre-of-mass energy of $\sqrt{s} = {7}\;{\rm{TeV}}$ , performed with the ATLAS detector at the Large Hadron Collider (LHC). No evidence for new physics is found in dijet mass and angular distributions and stringent limits are set on a variety of models of new physics, including excited quarks, quark contact interactions, axigluons, and quantum black holes.     

{\boldsymbol N}\boldsymbol{\bar N} exotics and antiprotonic atoms

The BES Collaboration measurements of J/ψ radiative decays into $ p{\bar p}$ indicate a strong enhancement at $ p {\bar p}$ threshold. In a related experiment a peak in the invariant π ^?+? π ^???η′ mass is observed. It is shown that both structures may be related to a broad $ N{\bar N}$ quasi-bound state in the $^{11}S_{0} $ wave. The existence of this state finds additional support from the antiprotonic atom level widths. It is also explained by a traditional model of $ N \bar{N} $ interactions based on G-parity transformation. The level widths in H, D and He antiprotonic atoms and the radiochemical studies of $ {\bar p}$ capture in nuclei indicate the existence of another near-threshold quasi-bound state in a P wave.     

Mixed layer – structured ferroelectrics on the basis of \mbox{\sffamily\bfseries Bi}_{\hbox{\sffamily\bfseries\fontsize{12}{12}\selectfont 4}} \mbox{\sffamily\bfseries Ti}_{\hbox{\sffamily\bfseries\fontsize{12}{12}\selectfont 3}} \mbox{\sffamily\bfseries O}_{\hbox{\sffamily\bfseries\fontsize{12}{12}\selectfont 12}}

Thermal diffusivities of pure YVO₄ single crystal and single crystals doped with Nd, Tm and Ca ions are measured using a modified ?ngstr?m's method. Measurements were carried out for main crystallographic directions ([100], [010] and [001]). Obtained results show that the thermal diffusivity in [001] direction is considerably higher than in (001) plane. Decrease of the thermal diffusivity is observed with growing concentration of dopants. For the heavier doped sample (5% at. of Tm + 0.4% at. of Ca) a drop of the thermal diffusivity is about 35%.