Measurement of the B(0) lifetime with partially reconstructed B(0)-->D(-)l(+)nu(l) decays

The B(0) lifetime was measured with a sample of 23 million BB pairs collected by the BABAR detector at the PEP-II e(+)e(-) storage ring during 1999 and 2000. Events from the semileptonic decay B(0)-->D(*-)l(+)nu(l) have been selected with a partial reconstruction method in which only the charged lepton and the slow pi from the D*--->D(0)pi(-) decay are reconstructed. The result is tau(B(0)) = 1.529+/-0.012(stat)+/-0.029(syst) ps.     

Search for the rare decays B-->Kl(+)l(-) and B-->K(*)l(+)l(-)

We present results from a search for the flavor-changing neutral current decays B-->Kl(+)l(-) and B-->K(*)l(+)l(-), where l(+)l(-) is either an e(+)e(-) or mu(+)mu(-) pair. The data sample comprises 22.7 x 10(6) Upsilon(4S)-->B(-)B decays collected with the BABAR detector at the PEP-II B Factory. We obtain the 90% C.L. upper limits B(B-->Kl(+)l(-))<0.51 x 10(-6) and B(B-->K(*)l(+)l(-))<3.1 x 10(-6), close to standard model predictions for these branching fractions. We have also obtained limits on the lepton-family-violating decays B-->Ke+/-mu(-/+) and B-->K(*)e(+/-)mu(-/+).     

Packing and Covering Triangles in K 4-free Planar Graphs

We show that every K ₄-free planar graph with at most ν edge-disjoint triangles contains a set of at most ${\frac32\nu}$ edges whose removal makes the graph triangle-free. Moreover, equality is attained only when G is the edge-disjoint union of 5-wheels plus possibly some edges that are not in triangles. We also show that the same statement is true if instead of planar graphs we consider the class of graphs in which each edge belongs to at most two triangles. In contrast, it is known that for any c?<?2 there are K ₄-free graphs with at most ν edge-disjoint triangles that need more than cν edges to cover all triangles.     

Characterisation of Redox Initiators for Producing Poly(Vinyl Alcohol) Hydrogels

Summary: This work focuses on the characterisation of ascorbic acid/persulphate initiating system. Three different persulphates were used (ammonium, potassium and sodium), and a range of initiator concentrations were tested. Gel time, gel quality, initiator toxicity, and cell survival upon encapsulation were measured. No significant differences were observed between the three types of persulphates. Higher concentrations of the initiators resulted in faster gel times (5min for 0.05wt% initiator) and higher quality gels (less than 20% sol fraction), although the lower initiator concentrations were better in terms of cell growth inhibition and survival upon encapsulation. Overall, this system shows great promise for use in biomedical applications, however there is a need to minimise the initiator concentration to increase cell compatibility while maintaining a high enough concentration for adequate gel formation.     

Orientational anisotropy in the polydomain lamellar phase of a lyotropic liquid crystal

Diffusion-diffusion correlation measurements by NMR are used to investigate the degree of orientational order in the lamellar phase of Aerosol OT (bis(2-ethylhexyl) sodium sulfosuccinate) and water at a range of surfactant concentrations (25, 33, and 50 wt %). We show that true isotropy of the domains is found at the lowest concentration but that at higher concentrations deviations from isotropy can be found, as evidenced by asymmetry on the 2D correlation distributions. We further discuss the significance of asymmetry in diffusion-diffusion exchange experiments, 2D distributions that should always be symmetric in steady state.     

Large monochromatic components in colorings of complete 3-uniform hypergraphs

Let f(n,r) be the largest integer m with the following property: if the edges of the complete 3-uniform hypergraph are colored with r colors then there is a monochromatic component with at least m vertices. Here we show that and . Both results are sharp under suitable divisibility conditions (namely if n is divisible by 7, or by 6 respectively).     

Measurement of the B0-B-0 oscillation frequency with inclusive dilepton events

The B0-B-0 oscillation frequency has been measured with a sample of 23 x 10(6) BB- pairs collected with the BABAR detector at the PEP-II asymmetric B Factory at SLAC. In this sample, we select events in which both B mesons decay semileptonically and use the charge of the leptons to identify the flavor of each B meson. A simultaneous fit to the decay time difference distributions for opposite- and same-sign dilepton events gives deltamd = 0.493+/-0.012(stat)+/-0.009(syst) ps-1.     

Fourier Stability Analysis of a Numerical Method for Time Domain Electromagnetic Scattering from a Thin Wire

We present stability results for a numerical scheme for computing the current induced on the surface of a thin wire by an incident time-dependent electromagnetic field, using the exact kernel formulation. The results show that the algorithm is stable for arbitrarily small values of the mesh size.     

Measurement of time-dependent CP asymmetries and the CP-odd fraction in the decay B0-->D(*+)D(*-)

We present a measurement of time-dependent CP asymmetries and an updated determination of the CP-odd fraction in the decay B0-->D(*+)D(*-) using a data sample of 88x10(6)BB pairs collected by the BABAR detector at the PEP-II B Factory at SLAC. We determine the CP-odd fraction to be 0.063+/-0.055(stat)+/-0.009(syst). The time-dependent CP asymmetry parameters Im(lambda(+)) and /lambda(+)/ are determined to be 0.05+/-0.29(stat)+/-0.10(syst) and 0.75+/-0.19(stat)+/-0.02(syst), respectively. The standard model predicts these parameters to be -sin(2beta and 1, respectively, in the absence of penguin diagram contributions.