Quantum mechanical (QM) and quasiclassical trajectory (QCT) calculations have been carried out for the exchange reactions of D and Mu (Mu = muonium) with hydrogen molecules in their ground and first vibrational states. In all the cases considered, the QM rate coefficients, k(T), are in very good agreement with the available experimental results. In particular, QM calculations on the most accura...

The νμ → ντ and νμ → νs solutions to the atmospheric neutrino problem are compared with SuperKamiokande data. The differences between these solutions due to matter effects in the Earth are calculated for the ratio of μ-like to e-like events and for up-down flux asymmetries. These quantities are chosen because they are relatively insensitive to theoretical uncertainties in the overall neutrino f...

A preliminary analysis of exclusive b → uℓν decays to the final states π ∓ ℓ ± ν, π 0 ℓ ± ν, ρ ∓ ℓ ± ν, ρ 0 ℓ ± ν and ωℓ ± ν based on 2.2 × 10 6 B ¯ B decays collected at CLEO is presented. We have measured the first exclusive b → uℓν branching fraction B(B 0 → π − ℓ + ν) =), with the ISGW (WSB) model used for efficiency determination. A 90% C.L. upper limit on B(B 0 → ρ − ℓ + ν) similar to the...

At very high energy the same universal relation between the multiparticle or the transverse energy distribution associated to a rare event C, P C and the corresponding minimum bias distribution P, P C (ν) ≡ ν/ < ν > P (ν), ν ≡ n or E T works for nucleus-nucleus collisions as well as for hadron-hadron collisions. This suggests that asymptotically, all hadronic processes are similar.

In this work, we present two sets of full asymptotic expansions for the modified Bessel functions Iν(z) and Kν(z) and a full asymptotic expansion for Iν(z)Kν(z) as ν → ∞ and z is fixed with | arg z| < π. In particular, we show that Iν(z) ∼ (12z) ν Γ(ν + 1) ∞ ∑ m=0 bm(z) νm as ν → ∞, | arg ν| ≤ π − δ, and Kν(z) ∼ 1 2 Γ(ν) (12z) ν ∞ ∑ m=0 (−1) bm(z) νm as ν → ∞, | arg ν| ≤ 12π − δ, where, for eac...

In this paper a general theory of a random number of random variables is constructed. A description of all random variables ν admitting an analog of the Gaussian distribution under ν-summation, that is, the summation of a random number ν of random terms, is given. The ν-infinitely divisible distributions are described for these ν-summations and finite estimates of the approximation of ν-sum dis...

We give two distinct approaches to finding bounds, as functions of the order ν, for the smallest real or purely imaginary zero of Bessel and some related functions. One approach is based on an old method due to Euler, Rayleigh, and others for evaluating the real zeros of the Bessel function Jν(x) when ν > −1. Here, among other things, we extend this method to get bounds for the two purely imagi...