Predictions for the diffractive photoproduction of the Υ-family at HERA energies, within the framework of the analysis by Frankfurt, Koepf and Strikman, are presented. Two novel effects lead to a significant enhancement of the original calculation: the non-diagonal (or skewed) kinematics, calculated to leading-log(Q) accuracy, and the large magnitude of the real part of the amplitude. The resul...

Let K be an n-dimensional local field, L/K a finite abelian extension. Define a filtration on Gal(L/K) (cf. [H], [F, sect. 4]) by Gal(L/K) = Υ L/K(UiK top n (K) +NL/KK top n (L)/NL/KK top n (L)), i ∈ Z n + , where UiK top n (K) = {Ui} ·K top n−1(K), Ui = 1 + PK(i), Υ L/K :K top n (K)/NL/KK top n (L) →̃ Gal(L/K) is the reciprocity map. Then for a subextension M/K of L/K Gal(M/K) = Gal(L/K) Gal(L/...

In our previous paper we describe the Galois module structures of pth-power class groups K/K, where K/F is a cyclic extension of degree p over a field F containing a primitive pth root of unity. Our description relies upon arithmetic invariants associated with K/F . Here we construct field extensions K/F with prescribed arithmetic invariants, thus completing our classification of Galois modules...

We derive some of the basic properties of weighted variable exponent Lebesgue spaces L p(.) w (R) and investigate embeddings of these spaces under some conditions. Also a new family of Wiener amalgam spaces W (L p(.) w , L q υ) is defined, where the local component is a weighted variable exponent Lebesgue space L p(.) w (R) and the global component is a weighted Lebesgue space Lυ (R) . We inves...

range 4 < pT < 12 GeV/c. The pT spectrum and nuclear modification factor for J/ψ with pT < 10 GeV/c is reported, along with results from Υ(1S+2S+3S) production in Au+Au collisions. The nuclear modification factor for high-pT J/ψ (pT > 5 GeV/c) is found to be consistent with unity in peripheral collisions, while a significant suppression of low-pT J/ψ and Υ is observed in central collisions. The...

We propose a new method to extract the light quark mass ratio m(u)/m(d) using the Υ(4S)→h(b)π⁰(η) bottomonia transitions. The decay amplitudes are dominated by the light quark mass differences, and the corrections from other effects are rather small, allowing for a precise extraction. We also discuss how to reduce the theoretical uncertainty with the help of future experiments. As a by-product,...

In this paper, we attack the specific time-dependent Hamiltonian problem H = − 1 2 e Υ(t−to) ∂ xx + 1 2 ω 2 e −Υ(t−to) x 2. This corresponds to a time-dependent mass (T M) Schrödinger equation. We give the specific transformations to i) the more general quadratic (T Q) Schrödinger equation and to ii) a different time-dependent oscillator (T O) equation. For each Schrödinger system, we give the ...

Variation of the relative yield of charged and neutral B mesons across the Υ(4S) resonance Abstract It is shown that the ratio of the production rates of the pairs B + B − and B 0 B 0 should experience a substantial and rapid variation with energy within the width of the Υ(4S) resonance, crossing the value of one near the center of the resonance. This behavior is due to an interference of the r...