Using world line fermions Υ± = Υ m ± (τ) valued in vector representation of SO (d, 4 − d) with d = 2, 3, 4, we develop a pure fermionic analog of Penrose twistor construction. First, we show that Fermi antisymmetry requiring ( Υ± )2 = 0 can be solved by using twistor like variables. Then we study the corresponding dual twistor like field action and show that quantum spectrum exhibits naturally ...

We study nuclear shadowing in J/ψ and Υ production in hadron-nucleus interactions and in nucleus-nucleus collisions at the Relativistic Heavy Ion Collider and the Large Hadron Collider. As a consequence of the perturbative Q2-dependence of gluon shadowing, we predict that Υ production is less suppressed than the J/ψ. We show that antishadowing leads to enhanced J/ψ production at xf ∼ 0, an effe...

Contents 1. Introduction 2. Real closed rings-a model theoretic tour 3. Computation of the z-radical in C(X) 4. A sentence in the language of rings separating continuous semi-algebraic from arbitrary continuous functions 5. Super real closed rings: Definition and basic properties 6. Υ-ideals 7. Localization of super real closed rings 8. Application: o-minimal structures on super real closed fie...

We present studies in bottomonium spectroscopy carried out with samples of (98±1) million Υ(2S) and (121±1) million Υ(3S) events recorded with the BaBar detector at the PEP-II asymmetric-energy ee collider at SLAC. Precise measurements of the branching fractions for χb1,2(1P, 2P ) → γΥ(1S) and χb1,2(2P ) → γΥ(2S) transitions, and searches for radiative decay to the ηb(1S) and ηb(2S) states are ...

Recent data from the CDF collaboration on the production of spin-triplet bottomonium states at the Tevatron pp̄ collider are analyzed within the NRQCD factorization formalism. The color-singlet matrix elements are determined from electromagnetic decays and from potential models. The color-octet matrix elements are determined by fitting the CDF data on the cross sections for Υ(1S), Υ(2S), and Υ(3...

The measurement of the charmonium (J/ψ, ψ′) and bottomonium (Υ, Υ′, Υ′′) resonances and Z boson in nucleus-nucleus collisions provides crucial information on high density QCD matter. The observation of anomalous suppression of J/ψ at the CERN-SPS and RHIC is well established but the clarification of some important questions requires equivalent studies of the Υ family, only possible at LHC energ...

We compute the third-order corrections to the heavy quarkonium spectrum and production/annihilation rates due to the leading renormalization group running of the static potential. The previously known complete O(m q α 5 s) result for the heavy quarkonium ground state energy is extended to the exited states. After including the O(α 3 s) corrections the perturbative results are in surprisingly go...

We compute the third-order corrections to the heavy quarkonium spectrum and production/annihilation rates due to the leading renormalization group running of the static potential. The previously known complete O(m q α 5 s) result for the heavy quarkonium ground state energy is extended to the exited states. After including the O(α 3 s) corrections the perturbative results are in surprisingly go...

υ(X,L) = lim sup k→∞ n! kn h(X,OX(kL)). If L is ample, or more generally nef and big, υ(L) = (L), the self-intersection number of L. The volume of a general big line bundle has been studied in [F] and [DEL]; in particular, υ(L) has been given the following geometric interpretation (Proposition 3.6 of [DEL]): Let (kL) [n] be the moving selfintersection number of kL, that is, the number of inters...

The main result is that, for any projective compact analytic subset Y of dimension q > 0 in a reduced complex space X , there is a neighborhood Ω of Y such that, for any covering space Υ: X̂ → X in which Ŷ ≡ Υ(Y ) has no noncompact connected analytic subsets of pure dimension q with only compact irreducible components, there exists a C∞ exhaustion function φ on X̂ which is strongly q-convex on Ω̂ ...