Isotopic dependence of electron screening in fusion reactions

The fusion reactions⁶Li(p, )³He,⁶Li(d, )⁴He, and⁷Li(p, )⁴He have been studied over the c.m. energy rangeE=10 to 1450 keV. Each reaction involved the use of hydrogen projectiles and LiF solid targets as well as Li projectiles and hydrogen molecular gas targets. In all cases the effects of electron screening on the low-energy fusion cross sections (exponential enhancement) have been observed; the effects are somewhat stronger in the case of atomicp ord projectiles compared to the case of molecularH ₂ orD ₂ gas targets. If isotopic effects on electron screening are negligible, all three reactions should exhibit the same enhancements for each set of experimental techniques. The measurements confirmed this expectation to a large extent.Supported in part by the Landesamt Nordrhein-Westfalen (IVA5-10600387), the Deutsche Forschungsgemeinschaft (Ro429/ 18-2 and Ro429/21-1), and the Comision Interministerial de Ciencia y Tecnologia (AEN90-0932)     

The S(E) factor of7Li(p, γ)8Be and consequences for S(E) extrapolation in7Be(p, γ0)8B

Excitation functions and forward-backward anisotropies have been measured for the⁷Li(p, )⁸Be capture reaction over the proton energy rangeE _p =100 to 1500 keV, using a 4 summing crystal and Ge(Li) detectors, respectively. The data show at all energies the presence of El and M1 capture amplitudes arising from the direct capture (DC) process and theE _R =441 and 1030 keV resonances, respectively. Due to the observed DC process, the present data increase significantly the reaction rates (up to a factor of 110) compared to values given in the compilation. The data and their analyses remove the recent criticism on DC model calculations, which had implied a significant reduction in the extrapolated S(E) factor for⁷Be(p,)B and thus in the predicted flux of high-energy solar neutrinos; thus, the solar neutrino problem is still with us.Supported in part by the Deutsche Forschungsgemeinschaft (Ro429/21-3 and Ro429/21-4) and the German-Hungarian Collaboration (X238.6 and OTKA3808)     

Effect of impurity scattering of a tunneling electron on variable-range hopping conduction

Variable-range hopping conduction in semiconductors is determined by the asymptotic behavior of impurity wave functions on distances much larger than mean interimpurity separation. Scattering of an impurity electron by the other impurities situated near its tunneling path is shown to result in a correction a to electron localization lengtha. This correction depends on the impurity scattering length and impurity concentrationN and may be of the order ofa(Na ³ ) ora(Na ³ )^1/2.     

A new combination of protecting groups and links for encoded synthetic libraries suited for consecutive tests on the solid phase and in solution

Summary A strategy for high-throughput evaluation of combinatorial compound libraries is reported, which circumvents the necessity to test complex mixtures. The method is based on a new combination of protecting groups, solid-phase linker and tags. The bulk of the library first undergoes a binding assay with the components grafted on beads. A selection of beads carrying strong ligands is stripped from the labelled target and distributed into microvessels. The ligands are cleaved and rinsed into microeluates. Subsequently, a more detailed characterization with a functional assay in solution determines the best performers, which are identified through the peptidic tag left behind on the corresponding mother bead.Abbreviations Boc tert-butyloxycarbonyl - CCL combinatorial compound libraries - Ddz ,-dimethyl-3,5-dimethoxybenzyloxycarbonyl - DICD N,N-diisopropylcarbodiimide - DIPEA diisopropylethylamine - DMA dimethylacetamide - ESL encoded synthetic libraries - FITC fluoresceinisothiocyanate - GABA -aminobutyric acid - HOBT N-hydroxybenzotriazole - MALDI matrix-assisted laser desorption ionization - Pbf 2,2,4,6,7-pentamethyldihydrobenzofuran-5-sulfonyl - Pmc 2,2,5,7,8-pentamethylchroman-6-sulfonyl - TFA trifluoroacetic acid - Trt trityl     

Regular quantum field theories

Mathematically regular and more precise versions of quantum field theories are discussed. A new class of representations called minimal wave-packet representations is introduced. Several possibilities of constructing nonconventional, bounded interaction operators (nonpolynomial, nonlinear, explicitly or implicitly nonlocal) corresponding to the traditional ⁴ or ³ interactions are reviewed. The problem of macrocausality is discussed. A procedure of renormalization of regular theories is indicated.     

Properties of multihadron final states inB-meson decays

The general approach to calculation of inclusive spectra of particles produced in multihadron decays ofB mesons is developed. This approach is based on concept of theq -string production and fragmentation combined with standard electroweak theory. Parameters of fragmentation functions are inferred from the theory of hadroproduction in high energy hadronic collisions. Numerical results for spectra of pions produced inB-meson nonleptonic and semileptonic decays, induced by eitherbc orbu transitions, are presented.Laboratoire associé au Centre National de la Recherche Scientifique     

Neutral strange particle production in neutrino and antineutrino charged current interactions on protons

The production of the neutral strange particlesK ⁰, and invp and charged current interactions is studied in an experiment with the Big European Bubble Chamber. Mean multiplicities are measured as a function of the event variablesE _v,W ² andQ ² and of the hadron variablesx _F,z andp _T ² .K ^*± (892) and ^*± (1385) signals are observed, whereas there is no evidence for ^*- (1385) production invp scattering. Forward, backward and total mean multiplicities are found to compare well with the predictions of an empirical model for deep-inelastic reactions in the case of the strange mesonsK ⁰ andK ^*± (892) but less so for the strange baryons , and ^*± (1385). The strange baryon multiplicities are used to obtain the decuplet to octet baryon production ratio and to assess the probabilities of auu orud system to break up.     

Theoretical estimate of the Higgs boson mass

It is assumed that the Higgs particle distorts space-time in its own neighborhood and generates a self-referential nonlinear field. Its almost flat space-time metric form gives a nonlinear equation of motion admitting soliton-like solutions. This in turn gives rise to a new type of wave—space-time (mass-transmitting) interactions allowing particles to acquire mass. The curvature of the (pseudo-) Riemannian manifold of a Higgs space-time yields the mass formulam ₂ ^WZ =d ³ x detGR _H (x)=1/4m ₂ ^H orm _H =182 GeV.     

Phenomenological wave functions for the massA=14 system and a consistent description of beta decay observables

A set of phenomenological wave functions has been derived to describe the¹⁴N ground state and the isospin triplet consisting of the¹⁴C ground state, the first excited state of¹⁴N at 2.313 MeV and the¹⁴O ground state. Elastic and inelastic electron scattering form factors, the magnetic moment of the¹⁴N ground state and the shape factors in the ^± decay have been employed in a multiparameter fitting procedure to determine the amplitudes of the wave functions inL-S coupling. The inclusion of the beta decay observables in the fit has become possible for the first time since exact formulas for the shape factor in higher order do exist. The set of wave functions deduced exhibit predominately anL=0 contribution for the 0⁺; 1 states andL=1 and 2 contributions of nearly equal weight for the 1⁺; 0 state. It was observed that the inclusion of the shape factors allowed a more stringent determination of the amplitudes compared to previous attempts reported in the literature and led in the case of the 0⁺; 1 states to wave functions that show a small but noticeable difference within the isospin triplet. Besides the observables used for the fit, the radiative width (M1) of the 2.313 MeV state in¹⁴N can be described quite well with the derived wave functions, and in addition it has become possible to predict the pathological largeft ^– value of the¹⁴C decay and theft ⁺ value of the¹⁴O decay precisely. The wave functions are also applied to calculate the¹⁴N(, ⁺) cross section.Dedicated to Prof. Dr. P. Kienle on the occasion of his 60th birthday. Supported by the German Federal Minister for Research and Technology (BMFT) under contract number 06DA 184I     

Construction of Riken-ral muon facility at ISIS and advanced μSR

By utilizing the intense pulsed proton beam available at the ISIS facility of RAL, the new muon facility project of an advanced superconducting muon channel funded by the RIKEN is now under construction. The new facility, by adopting the superconducting solenoid system, will produce the strongest backward decay pulsed ⁺ or ^–in the momentum range from 20 MeV/c to 120 MeV/c. Also, by adopting the pulsed magnetic kicker, each one of two muon pulses will be supplied to two extraction channels simultaneously. Various important muon science experiments including advanced pulsed ^–SR andmu ⁺SR experiments will be realized.     

Excited states of the odd-A Sb isotopes115,113,111Sb

Properties of excited states in^111,113,115Sb were investigated with the (p, 2n) reaction. Singles-ray spectra, neutron-gamma- and gamma-gamma coincidences, excitation functions and half-lives were measured. The experimental results are interpreted with the unified model. Recently found rotational bands are also excited in these reactions.     

Critical velocity of continuous vortex formation in rotating<Superscript>3</Superscript>He-A

Vortex lines with continuous (singularity-free) core structure are usually formed when superfluid³He-A is accelerated to rotation. The critical counterflow velocityv _c (T), at which vortex formation starts, has been measured with cw NMR. The onset of vortex formation is found to depend on the order parameter texture and differs from that of singular core vortices in⁴He-II or³He-B due to much larger length scale.     

Group duality and the Kubo-Martin-Schwinger condition

We consider clusteringG-invariant states of aC*-algebraU endowed with an action of a locally compact abelian groupG. Denoting as usual byF _AB,G _AB, the corresponding two-point functions, we give criteria for the fulfillment of the KMS condition (w.r.t. some one-parameter subgroup ofG) based upon the existence of a closable mapT such thatTF _AB =G _AB for allA,BU. Closability is either inL (G),B(G), orC (G), according to clustering assumptions. Our criteria originate from the combination of duality results for the groupG (phrased in terms of functions systems), with density results for the two-point functions.Supported in part by the National Science Foundation     

A stochastic return map for stochastic differential equations

A method is presented for constructing a stochastic return map from a stochastic differential equation containing a locally stable limit cycle and small-amplitude [O()] additive Gaussian colored noise. The construction is valid provided the correlation time isO() orO(1). The effective noise in the return map has nonzeroO( ²) mean and is state dependent. The method is applied to a model dynamical system, illustrating how the effective noise in the return map depends on both the original noise process and the local deterministic dynamics.     

A simple geometric representative for μ of a point

ForSU(2) (orSO(3)) Donaldson theory on a 4-manifoldX, we construct a simple geometric representative for of a point. Letp be a generic point inX. Then the set {[A]F _A ^– (p) is reducible}, with coefficient –1/4 and appropriate orientation, is our desired geometric representative. The construction is an exercise in real algebraic geometry in the style of Ehresmann and Pontryagin.This work is partially supported by an NSF Mathematical Sciences Postdoctoral Fellowship and Texas Advanced Research Project grant ARP-037.     

Searches for neutral Higgs bosons ine+e? collisions at LEP

A search for minimal standard model (MSM) and minimal supersymmetric model (MSSM), Higgs bosons with masses larger than 3 GeV/c² has been performed by the OPAL collaboration one ⁺ e ^– data from LEP corresponding to an integrated luminosity of 1.24 pb^–1. The limits for MSM Higgs bosons have been obtained using the channelsZ ⁰Z ^0* H ⁰,Z ^0*(v ore ⁺ e ^– or µ⁺, µ^–. The search for MSSM Higgs bosons has been performed using the channelsZ ⁰Z ^0* H ⁰,v ore ⁺ e ^– or µ⁺µ^–),h ⁰ q andZ ⁰h ⁰ A ⁰,h ⁰ A ⁰(4 jet or ^{+ –} or 4), whereh ⁰ andA ⁰ are the two lightest neutral MSSM Higgs bosons. No Higgs boson signal has been observed. The MSM Higgs boson is excluded in the mass range 3 GeV <25.3>² at the 95% confidence level; limits on the masses of the two lightest neutral MSSM Higgs bosons are obtained forh ⁰ mases up to 40.5 GeV/c².Now at Applied Silicon Inc.     

Observation of a new deformed structure in114Sn

Yrast as well as non-yrast states of¹¹⁴Sn have been investigated via the¹⁰⁰Mo(¹⁸O,4n) and the¹¹²Cd(,2n) reaction by means of in-beam-ray spectroscopy using the Compton-suppressed germanium detector array OSIRIS-Cube. A new rotational band including the band head with a tentative spin and parity assignment of 5^– could be placed in the level scheme and might be a candidate for ag ₉ ^2/–1 h_11/2 intruder band.     

From Effect Algebras to Algebras of Effects (Sum Brouwer—Zadeh Algebras)

The algebraic structures arising in the axiomatic framework of unsharp quantummechanics based on effect operators on a Hilbert space are investigated. It isstressed that usually considered effect algebras neglect the unitary Brouwerianmap of complementation, and the main results based on this complementationare collected, showing the enrichment produced into the theory by its introduction.In particular, in these structures two notions of sharpness can be considered: K-sharpness induced by the usual complementation of effect algebrasand B-sharpness induced by this new complementation. Quantum (resp., classical) SBZalgebras are then characterized by the condition of B-coherence (resp., B-coherence plusB-compatibility), showing that in this case the poset of all B-sharp elements is orthomodular (resp., Boolean algebra). In the unsharp contextof effect operators, the finite dimensionality of the Hilbert space or the finitenessof a von Neumann algebra are both characterized by a de Morgan property ofthe Brouwer complementation. Moreover, since effect operators on a pre-Hilbertspace give rise to a standard model of effect algebras, a characterization ofcompleteness of pre-Hilbert spaces is given making use of the Brouwercomplement.     

The structure of28Si above 10 MeV excitation energy II: Assignments of quantum numbers

New assignments of quantum numbers have been obtained for more than 50 levels in²⁸Si between 8953 and 15915 keV excitation energy. They are based on the measurement of -ray angular distributions or anisotropies on 29 resonances of the²⁷Al(p, ) reaction and on the²⁴Mg(a, ) resonance atE =3355 keV. A total of 15 high-spin states withI=5–7 has been obtained and the spectrum ofT=1 states has been identified up to 15915 keV excitation energy and a maximum spinI=6.