Modelling design of multiphase bubble-bed reactors for advanced food-industry applications

An EC project (IC15-CT98-0904 / PL979021) under this title commenced November 1998 courtesy of Dr Jindrich Zahradnik, sadly since deceased. In dedication to his memory overviewed here are contributions from the four partners whose lead investigators appear as authors (plus coordinator as corresponding author) with principals and researchers recognised in cited literature. A website (www.copernicus.aston.ac.uk) has been launched to disseminate major individual components and collaborations facilitated by study exchanges, also envisaged exploitation by industries. Drawing on this material we outline partners' established expertise and its unification under EC umbrella funding. To avoid confusion on due credit for contributions, references are designated by first letters of the above-named authors. At risk of appearing to favour ones' own wares, we humbly refer readers to our cited papers for contextual commentaries

Modelling design of multiphase bubble-bed reactors for advanced food-industry technologies

Project Copernicu

Current correlators to all orders in the quark masses

The contributions to the coefficient functions of the quark and the mixed quark-gluon condensate to mesonic correlators are calculated for the first time to all orders in the quark masses, and to lowest order in the strong coupling constant. Existing results on the coefficient functions of the unit operator and the gluon condensate are reviewed. The proper factorization of short- and long-distance contributions in the operator product expansion is discussed in detail. It is found that to accomplish this task rigorously the operator product expansion has to be performed in terms of non-normal-ordered condensates. The resulting coefficient functions are improved with the help of the renormalization group. The scale invariant combination of dimension 5 operators, including mixing with the mass operator, which is needed for the renormalization group improvement, is calculated in the leading order.Comment: 24 pages, LateX file, TUM-T31-21/92, 1 postscript file include

Gluonic Correlations in Matter

We derive the analogue of the QCD low energy theorems for the scalar and pseudoscalar gluonic correlators in nuclear matter. We find that the scalar correlations are depleted while the pseudoscalar correlations are enhanced to leading order in the nuclear matter density. We briefly discuss the consequences of these findings on the QCD spectrum.Comment: 9 pages, LaTe

Stringent constraints on the scalar K pi form factor from analyticity, unitarity and low-energy theorems

We investigate the scalar K pi form factor at low energies by the method of unitarity bounds adapted so as to include information on the phase and modulus along the elastic region of the unitarity cut. Using at input the values of the form factor at t=0 and the Callan-Treiman point, we obtain stringent constraints on the slope and curvature parameters of the Taylor expansion at the origin. Also, we predict a quite narrow range for the higher order ChPT corrections at the second Callan-Treiman point.Comment: 5 pages latex, uses EPJ style files, 3 figures, replaced with version accepted by EPJ

A Gauge Invariant Electromagnetic Two-Point Function For Heavy Light Quark Systems

A gauge invariant electromagnetic two-point function, crucial to the investigations of the violation of isospin symmetry, is derived for heavy-light quark systems. Thus QED can be consistently introduced into the QCD Sum Rule method, which was not previously possible.Comment: 7 page in Latex, and 2 ps. figure can be obtained from the autho

Reanalysis of the (0^+,1^+) states B_{s0} and B_{s1} with QCD sum rules

In this article, we calculate the masses and decay constants of the $P$-wave strange-bottomed mesons $B_{s0}$ and $B_{s1}$ with the QCD sum rules, and observe that the central values of the masses of the $B_{s0}$ and $B_{s1}$ are smaller than the corresponding $BK$ and $B^*K$ thresholds respectively, the strong decays $B_{s0}\to BK$ and $B_{s1}\to B^*K$ are kinematically forbidden. They can decay through the isospin violation precesses $B_{s0}\to B_s\eta\to B_s\pi^0$ and $B_{s1}\to B_s^*\eta\to B_s^*\pi^0$. The bottomed mesons $B_{s0}$ and $B_{s1}$, just like their charmed cousins $D_{s0}(2317)$ and $D_{s1}(2460)$, maybe very narrow.Comment: 9 pages, 5 figures, 4-versio

Mass Corrections to the Tau Decay Rate

In this note radiative corrections to the total hadronic decay rate of the $\tau$-lepton are studied employing perturbative QCD and the operator product expansion. We calculate quadratic quark mass corrections to the decay rate ration $R_{\tau}$ to the order ${\cal O}(\alpha_s^2 m^2)$ and find that they contribute appreciably to the Cabbibo supressed decay modes of the $\tau$-lepton. We also discuss corrections of mass dimension D=4, where we emphasize the need of a suitable choice of the renormalization scale of the quark and gluon condensates.Comment: 13 pages, LaTeX, no figures. This version fixes a typo in eq. (25) of the original paper (Z. Phys. C59 (1993) 525) and an errror in a numerical integration procedure which has resulted to a significant increase of the O(\alpha_s^2) coefficient in eq. (27). As a consequence also some tables in Section 4 have been modifie

The Strange Quark Mass from QCD Sum Rules

The strange quark mass is calculated from QCD sum rules for the divergence of the vector as well as axial-vector current in the next-next-to-leading logarithmic approximation. The determination for the divergence of the axial-vector current is found to be unreliable due to large uncertainties in the hadronic parametrisation of the two-point function. From the sum rule for the divergence of the vector current, we obtain a value of m_s\equiv\mb_s(1\,\gev)=189\pm32\,\mev, where the error is dominated by the unknown perturbative ${\cal O}(\alpha_s^3)$ correction. Assuming a continued geometric growth of the perturbation series, we find m_s=178\pm18\,\mev. Using both determinations of $m_s$, together with quark-mass ratios from chiral perturbation theory, we also give estimates of the light quark masses $m_u$ and $m_d$.Comment: 31 pages, 5 figures as separate uu-file, (Small TeX-problem corrected) CERN--TH.7435/94, TUM-T31-78/9

Mass singularities in light quark correlators: the strange quark case

The correlators of light-quark currents contain mass-singularities of the form log(m^2/Q^2). It has been known for quite some time that these mass- logarithms can be absorbed into the vacuum expectation values of other operators of appropriate dimension, provided that schemes without normal- ordering are used. We discuss in detail this procedure for the case of the mass logarithms m^4 log(m^2/Q^2), including also the mixing with the other dimension-4 operators to two-loop order. As an application we present an improved QCD sum rule determination of the strange-quark mass. We obtain m_s(1 GeV)=171 \pm 15 MeV.Comment: 19 pages, Latex + 5 figures as uuencoded PS files, MZ-TH/94-21, UCT-TP 214/9