121981860
DUAL APPROACH TO REGGE DIPS.
Abstract The analysis of π N charge exchange suggests that some prominent features associated with Regge dips are also properties of each of the leading peripheral resonances, duality holding in an almost local sense. The use of local duality, together with a simple Regge prescription for the dips leads, however, to very strong restrictions for more complicated spin structures. We study as a test case πΔ charge exchange and show how such constraints could still work and produce a nonsense zero. The equivalence between the t -channel Regge pole and s -channel absorptive description of the dip structure is, however, lost. A different s -channel description emerges and leads to a strong prediction for two step decays of higher resonances. A qualitative discussion of a few other reaction is briefly presented.
39663223
Frustrated spin Hamiltonians with binary input vectors.
Structures of composite spin operators are analyzed which appear in models of neural networks of the type which Amit et al. have recently investigated. A binary basis of size N${=2}^{M}$ is introduced to study a problem of N quantum-mechanical spin operators. The [Z${(2)]}^{M}$ group structure of the binary basis allows for many decompositions of the [SU(2)${]}^{\mathrm{N}}$ spin algebra. These become useful in studying and solving generalized frustrated Heisenberg as well as Ising models. Using these techniques for quantum-mechanical generalized spin operators, we derive an explicit representation of the partition function of classical statistical-mechanics models, in terms of a series summation over components of collective spin variables.
121574390
Multiperipheral and polyperipheral approaches to pionization
Abstract Introduction of Regge trajectories in addition to the pomeron, which appears in Mueller's approach to pionization, is shown to predict a small dip. The analysis is motivated by a multiperipheral approach. The question whether this approach may lead to an understanding of the peak in the pionic distribution or the asymmetry effect is discussed. A new (polyperipheral) approach based on the exchange of several chains is introduced in order to account for the observed effects. It leads naturally to Mandelstam cuts and is compared with a partonic picture.
43381389
Glueball calculations with the t expansion.
We discuss the way glueball states can be calculated using the t-expansion technique for the SU(3) lattice gauge theory in 3+1 space-time dimensions. Starting with strong-coupling wave functions we specify the simplest glueball structures that can be analyzed. They are described in a general group-theoretical language. We also present an alternative construction in terms of electric and magnetic fields. We then explain the use of the connected matrix formalism for this problem and discuss the results for the ${0}^{++}$ and ${1}^{+\mathrm{\ensuremath{-}}}$ glueballs that have been analyzed before. We present new results for ${0}^{\mathrm{\ensuremath{-}}\mathrm{\ensuremath{-}}}$, ${1}^{\mathrm{\ensuremath{-}}\mathrm{\ensuremath{-}}}$, and ${2}^{\mathrm{\ensuremath{-}}\mathrm{\ensuremath{-}}}$ glueballs, for which we calculated the t expansion to order ${t}^{6}$. They exhibit a scaling behavior leading to masses which are of the order of twice that of the scalar glueball.
122621587
MESON AND BARYON RESONANCES IN RELATIVISTIC SU(6)
6547578
The t expansion and SU(3) lattice gauge theory.
This paper presents the first results obtained by applying the t expansion to the case of an SU(3) lattice gauge theory in 3+1 space-time dimensions. We apply to this problem the same techniques which have been successfully used in the analysis of the SU(2) theory. We test their effectiveness first on the one-plaquette SU(3) problem, and conclude that even a moderate series in t suffices to reach the weak-coupling domain. We then compute the t expansion of the vacuum energy density to order t/sup 8/ and find from our analysis the behavior of this quantity as a function of the coupling constant. From the same series we obtain the mass M of the lowest-lying 0/sup + +/ glueball to order t/sup 6/. Evaluating the string tension sigma to the same order we construct the ratio R = M/sup 2//sigma which allows us to obtain a dimensional result for M which is consistent with Monte Carlo analyses.
125542777
Measurement of the Exclusive and Inclusive Branching Fractions of $B^{0}_{s} \to D^{(*)+}_{s}D^{(*)-}_{s}$ Decays at CDF and its Implications on the Decay Width Difference in the $B^{0}_{s}-B^{-0}_{s}$ Meson System
118159758
Study of $B^{0}_{s} \rightarrow D_s^{(*)+}D_s^{(*)-}$ and $B^{0}_{s} \rightarrow \phi\phi$ Decays at CDF
Under certain theoretical assumptions, the branching fraction of B{sub s}{sup 0} {yields} D{sub s}{sup (*)+}D{sub s}{sup (*)-} is directly sensitive to the relative decay width difference {Delta}{Lambda}{sub s}{sup CP}/{Lambda}{sub s} in the B{sub s}{sup 0} system, which is predicted to be sizable in the standard model. Using approximately 4 fb{sup -1} of data collected by the CDF II detector at the Tevatron p{bar p} collider, the CDF collaboration is currently performing an exclusive selection of B{sub s}{sup 0} {yields} D{sub s}{sup (*)+}D{sub s}{sup (*)-} signal candidates in several hadronic modes in order to provide a new branching fraction measurement. In contrast to former analyses, we start to have sensitivity in disentangling D{sub s}{sup (*)+}D{sub s}{sup (*)-}, enabling us to measure the branching fractions of B{sub s}{sup 0} {yields} D{sub s}{sup +}D{sub s}{sup -}, B{sub s}{sup 0} {yields} D{sub s}{sup (*)+}D{sub s}{sup -} and B{sub s}{sup 0} {yields} D{sub s}{sup (*)+}D{sub s}{sup (*)-} separately. Yet another interesting mode is the decay of the B{sub s}{sup 0} into a {phi} pair. This is a vector-vector decay dominated by the b {yields} s{ovr ss} penguin transition, which is a sensitive probe for possible new physics effects. Here we present a new measurement ofmore » the branching fraction based on a clean sample of about 300 B{sub s}{sup 0} {yields} {phi}{phi} signal events in a dataset with an integrated luminosity of 2.9 fb{sup -1}.« less