The CLEO-c data sample is dominated should find more precise number by cosmic muons that triggered the detector. Further, cosmic muons have a hard momentum spectra as well as containing tracks that are not going through the origin. Hence, the sample of cosmic rays would provide a valuable sample of tracks for doing alignment. This note describes such an attempt. Besides using cosmic muons a χ m...

We consider gravitational clustering from primoridal non-Gaussian fluctuations provided by a χ model, as motivated by some models of inflation. The emphasis is in signatures that can be used to constrain this type of models from large-scale structure galaxy surveys. Non-Gaussian initial conditions provide additional non-linear couplings otherwise forbidden by symmetry that cause non-linear grav...

We develop the theory of a category CA which is generalisation to non-restricted g-modules famously studied by Andersen, Jantzen and Soergel for restricted g-modules, where g Lie algebra reductive group G over an algebraically closed field K characteristic p>0. Its objects are certain graded bimodules. On left, they modules Uχ associated χ∈g⁎ in standard Levi form. right, commutative Noetherian...

Let R be a noetherian ring and M a finite R-module. With a linear form χ on M one associates the Koszul complex K(χ). If M is a free module, then the homology of K(χ) is well-understood, and in particular it is grade sensitive with respect to Imχ. In this note we investigate the case of a module M of projective dimension 1 (more precisely, M has a free resolution of length 1) for which the firs...

A theory of pump-probe spectroscopy is developed in which optical fields drive two-photon Raman transitions between ground states of an ensemble of three-level Λ atoms. Effects related to the recoil the atoms undergo as a result of their interactions with the fields are fully accounted for in this theory. The linear absorption coefficient of a weak probe field in the presence of two pump fields...

Let R be a noetherian ring andM a finite R-module. With a linear form χ onM one associates the Koszul complex K(χ). IfM is a free module, then the homology of K(χ) is well-understood, and in particular it is grade sensitive with respect to Imχ. In this note we investigate the case of a module M of projective dimension 1 (more precisely, M has a free resolution of length 1) for which the first n...

The new measurements of B → J/ψK(K∗) decays by CDF and CLEO indicate that the production ratio R and the fraction of longitudinal polarization ΓL/Γ are smaller than the previous results. In conjunction with the new result of parity-odd transverse polarization in B → J/ψK∗, we found a minimal modification to the factorization hypothesis: While the data of B → J/ψK∗ can be accommodated in the fac...

A theory of pump-probe spectroscopy is developed in which optical fields drive two-photon Raman transitions between ground states of an ensemble of three-level atoms. Effects related to the recoil the atoms undergo as a result of their interactions with the fields are fully accounted for in this theory. The linear absorption coefficient of a weak probe field in the presence of two pump fields o...

We obtain a number of new bounds for exponential sums of the type S(χ, f) = ∑p−1 x=1 χ(x)ep(f(x)), with p a prime, f(x) = ∑r i=1 aix ki , ai, ki ∈ Z, 1 ≤ i ≤ r and χ a multiplicative character (mod p). The bounds refine earlier Mordell-type estimates and are particularly effective for polynomials in which a certain number of the ki have a large gcd with p − 1. For instance, if f(x) = ∑m i=1 aix...

A quantity exists by which one can identify the approach of a dynamical system to the state of criticality, which is hard to identify otherwise. This quantity is the variance κ(1)(≡<χ(2)> - <χ>(2)) of natural time χ, where = Σp(k)f(χ(k)) and p(k) is the normalized energy released during the kth event of which the natural time is defined as χ(k) = k/N and N stands for the total number of ...