Soft High Energy Scattering in Nonperturbative QCD

In this report diffractive high energy reactions are discussed in a functional integral approach where hadronic amplitudes are calculated from vacuum expectation values of lightlike Wegner-Wilson loops. In the first part we calculate elastic differential cross sections for high energy and small momentum transfer elastic proton-proton (pp) scattering which are in reasonable agreement with the experimental data. In the second part we consider exclusive $\pi^0$ production in ep-scattering. At high energies photon and odderon exchange contribute to this reaction. We show that odderon exchange leads to a much larger inelastic than elastic $\pi^0$ production cross section, dominating the $\gamma$ contribution by orders of magnitude. Observing our process at HERA would establish the soft odderon.Comment: Talk given at the International Conference on Elastic and Diffractive Scattering (EDS 99), Protvino, Russia, 28 June-2 July 199

Training samples in objective Bayesian model selection

Central to several objective approaches to Bayesian model selection is the use of training samples (subsets of the data), so as to allow utilization of improper objective priors. The most common prescription for choosing training samples is to choose them to be as small as possible, subject to yielding proper posteriors; these are called minimal training samples. When data can vary widely in terms of either information content or impact on the improper priors, use of minimal training samples can be inadequate. Important examples include certain cases of discrete data, the presence of censored observations, and certain situations involving linear models and explanatory variables. Such situations require more sophisticated methods of choosing training samples. A variety of such methods are developed in this paper, and successfully applied in challenging situations

Timelike Compton scattering: exclusive photoproduction of lepton pairs

We investigate the exclusive photoproduction of a heavy timelike photon which decays into a lepton pair, gamma p -> l+ l- p. This can be seen as the analog of deeply virtual Compton scattering, and we argue that the two processes are complementary for studying generalized parton distributions in the nucleon. In an unpolarized experiment the angular distribution of the leptons readily provides access to the real part of the Compton amplitude. We estimate the possible size of this effect in kinematics where the Compton process should be dominated by quark exchange.Comment: 31 pages, 17 figure

Southwest Research Institute assistance to NASA in biomedical areas of the technology utilization program Cumulative quarterly report, 1 Oct. 1967 - 31 Mar. 1968

Quarterly operations summary of center for selective dissemination of biomedical information within Technology Utilization progra

Solving the mystery of the disappearing January blip in state employment data

Frank Berger and Keith Phillips propose a new two-step method of seasonally adjusting state Current Employment Statistics (CES) data produced by the Bureau of Labor Statistics (BLS). This method, first proposed in the July/August 1993 issue of Southwest Economy, recently was adopted by the BLS to seasonally adjust the broadest industry groupings of the state employment series. With this new adjustment procedure, the state employment data should be smoother and better reflect trend-cycle movements than if a more traditional seasonal adjustment method were used. ; The article finds that forty-six states suffer a break in their seasonal pattern toward the end of the data series. The authors explain the reason for the break and describe a procedure to adjust for it. Although the BLS is currently using this procedure for states at the broadest level of industry detail, analysts who want to seasonally adjust the state employment data at a finer level of industry detail should find the authors' description of the process useful. Also, analysts who seek to seasonally adjust the CES data for metropolitan areas may find the two-step method helpful.Employment (Economic theory)

A new quarterly output measure for Texas

Real gross domestic product is one of the most watched indicators of the U.S. business cycle. Yet at the state level, output measures are rarely used to track business conditions. Although the Bureau of Economic Analysis estimates real gross state product (RGSP), the long release lag (usually about two and one-half years after the reporting year) and the annual periodicity of the data severely limit its usefulness. ; In this article, Frank Berger and Keith Phillips find that movements in quarterly personal income and various price measures can accurately explain movements in total Texas RGSP and in eleven broad industry groupings. Based on these findings, Berger and Phillips create quarterly measures of total and industry-specific Texas RGSP that will be available about four months after the reporting quarter. The new series represents a comprehensive measure of economic activity in the state that can be used along with other timely indicators, such as nonfarm employment and the unemployment rate, to gauge current business conditions.Regional economics ; Texas

Spitzer Observations of Gamma-Ray Burst Host Galaxies: A Unique Window into High Redshift Chemical Evolution and Star-formation

We present deep Spitzer 3.6 micron observations of three z~5 GRB host galaxies. Our observations reveal that z~5 GRB hosts are a factor of 3 less luminous than the median rest-frame V-band luminosity of spectroscopically confirmed z~5 galaxies in the GOODS fields and the UDF. The strong connection between GRBs and massive star formation implies that not all star-forming galaxies at these redshifts are currently being accounted for in deep surveys and GRBs provide a unique way to measure the contribution to the star-formation rate density from galaxies at the faint end of the galaxy luminosity function. By correlating the co-moving star-formation rate density with co-moving GRB rates at lower redshifts, we estimate a lower limit to the star-formation rate density of 0.12+/-0.09 and 0.09+/-0.05 M_sun/yr/Mpc^3 at z~4.5 and z~6, respectively. Finally, we provide evidence that the average metallicity of star-forming galaxies evolves as (stellar mass density)^(0.69+/-0.17) between $z\sim5$ and $z\sim0$, probably indicative of the loss of a significant fraction of metals to the intergalactic medium, particularly in low-mass galaxies.Comment: ApJ, in pres

Energy, contact, and density profiles of one-dimensional fermions in a harmonic trap via non-uniform lattice Monte Carlo

We determine the ground-state energy and Tan's contact of attractively interacting few-fermion systems in a one-dimensional harmonic trap, for a range of couplings and particle numbers. Complementing those results, we show the corresponding density profiles. The calculations were performed with a new lattice Monte Carlo approach based on a non-uniform discretization of space, defined via Gauss-Hermite quadrature points and weights. This particular coordinate basis is natural for systems in harmonic traps, and can be generalized to traps of other shapes. In all cases, it yields a position-dependent coupling and a corresponding non-uniform Hubbard-Stratonovich transformation. The resulting path integral is performed with hybrid Monte Carlo as a proof of principle for calculations at finite temperature and in higher dimensions. We present results for N=4,...,20 particles (although the method can be extended beyond that) to cover the range from few- to many-particle systems. This method is also exact up to statistical and systematic uncertainties, which we account for -- and thus also represents the first ab initio calculation of this system, providing a benchmark for other methods and a prediction for ultracold-atom experiments.Comment: 13 pages, 10 figures; including supplemental materia

Stable boundary conditions for Cartesian grid calculations

The inviscid Euler equations in complicated geometries are solved using a Cartesian grid. This requires solid wall boundary conditions in the irregular grid cells near the boundary. Since these cells may be orders of magnitude smaller than the regular grid cells, stability is a primary concern. An approach to this problem is presented and its use is illustrated