Probing nucleon structure on the lattice

The QCDSF/UKQCD Collaboration has an ongoing program to calculate nucleon matrix elements with two flavours of dynamical O(a) improved Wilson fermions. Here we present recent results on the electromagnetic form factors, the quark momentum fraction 〈x〉 and the first three moments of the nucleon's spin-averaged and spin-dependent generalised parton distributions, including preliminary results with pion masses as low as 320MeV.     

Nonlinearity of Some Invariant Boolean Functions

One of the hardest problems in coding theory is to evaluate the covering radius of first order Reed–Muller codes RM(1,m), and more recently the balanced covering radius for crypto graphical purposes. The aim of this paper is to present some new results on this subject. We mainly study boolean functions invariant under the action of some finite groups, following the idea of Patterson and Wiedemann [The covering radius of the (1, 15) Reed-Muller Code is atleast 16276. IEEE Trans Inform Theory. Vol. 29 (1983) 354.]. Our method is Fourier transforms and our results are both theoretical and numerical.     

Synthesis,reactivity and preliminary biological activity of iron(0) complexes with cyclopentadienone and amino‐appended N‐heterocyclic carbene ligands

Neutral and cationic cyclopentadienone (CpO) N‐heterocyclic carbene (NHC) bis‐carbonyl iron(0) complexes bearing, appended to the NHC ligand, either a terminal amino group on the lateral chain, [Fe(η⁴‐CpO)(CO)₂(κC‐NHC(CH₂)_nNH₂)] with n = 2 ( 2a ) and 3 ( 2b ), or a cationic NMe₃⁺ fragment, [Fe(η⁴‐CpO)(CO)₂(κC‐NHC(CH₂)₂NMe₃)](I) ( 3 ), were prepared and characterized in terms of their structure, stability and reactivity. The photochemical properties of 2a and 2b were examined both in organic solvents and in water, revealing the photoactivated release of one CO ligand followed by the formation of the chelated complex [Fe(η⁴‐CpO)(CO)(κ²C,N‐NHC(CH₂)₂NH₂)] ( 4 ), whose molecular structure was confirmed by single crystal X‐ray diffraction studies. This metallacyclization occurs only in the case of 2a , with the ethylene spacer between NHC ring and NH₂ group in the lateral chain, allowing the formation of a stable 6‐membered ring. On the other hand, 2b undergoes decomposition upon irradiation. The reactivity in aqueous solutions revealed the chemical speciation of the complexes at different pH and especially under physiological conditions (phosphate buffer solution at pH 7.4 and 37 °C). The lack of data on the biological properties of iron(0) complexes prompted us to preliminarily investigate their cytotoxicity against model cancer cells (AsPC‐1 and HPAF‐II), along with a determination of their lipophilicity.     

Characteristics of composite propellant ignition by a CO2-laser

The delay time of ignition of a composite propellant based on ammonium perchlorate by a CO₂-laser is measured at various pressures and radiant flux densities. The characteristics of the propellant at the moment of ignition are calculated. The obtained rate constants of the reactions in the propellant are compared to the respective rate constants of the reactions in the c-phase occurring during the combustion of the composite propellant.     

Solid-phase growth of CuGaS2 crystals

Homogenized mixtures of copper, gallium, and sulphur were annealed for 200 hrs. under vacuum at about 1000–1050°C (i.e. below the melting point of the CuGaS₂ phase) in quartz ampoules in a vertical position, and then cooled down in a temperature gradient. The final charge was made up of three well-defined portions: a yellow polycrystalline CuGaS₂ with large blocks of CuGaS₂ (close to stoichiometry), a black portion with darkgreen aggregates of small CuGaS₂ crystals, and yellow laminae of CuGaS₂ single crystals, slightly inclined away from [112] direction. — A coupled growth mechanism — solidstate-diffusion-assisted coalescence/vapour transport — is assumed.     

New Bell-type inequalities forN > 4 necessary for existence of a hidden variable

The purpose of this paper is to extend Bell's inequalities to obtain some general necessary conditions for the existence of a joint probability distribution for any finite collection of Bell-type random variables. Our results show that forN > 4 many new elementary inequalities beyond those of Bell must be satisfied by any hidden variable theory.