We describe the present status of the pion distribution amplitude as originated from two sources: (i) a nonperturbative approach, based on QCD sum rules with nonlocal condensates, and (ii) a NLO QCD analysis of the CLEO data on Fγγ ∗π(Q2), supplemented by the E791 data on diffractive dijet production, and the JLab F(pi) data on the pion electromagnetic form factor. 1. PION DISTRIBUTION AMPLITUD...

For a fixed density matrix it is natural to ask what class of ensembles $pi ,uc i&% gives rise to that density matrix? This problem was addressed by Schrödinger @3#, whose results have been extended by Jaynes @4#, and by Hughston, Jozsa, and Wootters @5#. The result of these investigations, the classification theorem for ensembles, has been of considerable utility in quantum statistical mechani...

A K(pi)=13+, 280 ns four-quasiparticle isomer in the odd-odd nucleus 174Lu has been identified and characterized. The isomer decays to both K(pi)=7(+) and K(pi)=0(+) rotational bands obtained from the parallel and antiparallel coupling of the proton 7/2+[404] and neutron 7/2+[633] orbitals. K mixing caused by particle-rotation coupling explains the anomalously fast transition rates to the 7+ ba...

There has been a recent focus in reinforcement learning on addressing continuous state and action problems by optimizing parameterized policies. PI is a recent example of this approach. It combines a derivation from first principles of stochastic optimal control with tools from statistical estimation theory. In this paper, we consider PI as a member of the wider family of methods which share th...

where μ(Pi,Pj) = ∑ ck∈Pi,cl∈Pj σ(ck, cl). We now transform this simplified VCtoS problem into the quadratic assignment (QAP) problem, which is known to be NP-hard [SG76], as follows. Given n facilities denoted by set NF , n locations denoted by set NL, a flow matrix A, where each entry Aij represents the flow of materials moving from facility i to facility j, and a distance matrix D, where each...

for 0 ≤ i, j ∈ N. The matrix P is hence the famous Pascal triangle yielding the binomial coefficients and can be recursively constructed by the rules p0,i = pi,0 = 1 for i ≥ 0 and pi,j = pi−1,j + pi,j−1 for 1 ≤ i, j. In this paper we are interested in (sequences of determinants of finite) matrices related to P . The present section deals with some minors (determinants of submatrices) of the abo...

Abstract We demonstrate the construction of a density states from S-matrix describing coupled-channel (S-wave $$\pi \pi , K {\bar{K}}$$ ? , K ¯ ) system, and examine influences various structures particle dynami...

This paper serves as an update of the previous work entitled ``Heavy-Flavor-Conserving Hadronic Weak Decays Charmed and Bottom Baryons". We make improvement on bag wave functions by removing center-of-mass motion bag. All baryon matrix elements are now calculated under same framework without introducing new parameters. The 4-quark operators found to be nearly twice larger than ones. branching f...

There are different types of tumoral growth patterns invading host tissue. During tumor infiltration, cancer cells not only destroy the pre-existing extracellular matrix, but usually induce new matrix formation by activating the peritumoral stromal cells; that is, desmoplastic stromal reaction (DSR) at the front of invasion (juxtatumoral stroma). This study evaluates the association between dif...

Let A be an arbitrary symmetrizable Cartan matrix of rank r, and n = n+ be the standard maximal nilpotent subalgebra in the Kac-Moody algebra associated with A (thus, n is generated by E1, . . . , Er subject to the Serre relations). Let Ûq(n) be the completion (with respect to the natural grading) of the quantized enveloping algebra of n. For a sequence i = (i1, . . . , im) with 1 ≤ ik ≤ r, let...