Lambda polarization in pp -> p\Lambda K^+ \pi^+\pi^-\pi^+\pi^-

We show that there is a correlation between the invariant mass of the produced \Lambda K^+, \Lambda K^+\pi^+\pi^- or \Lambda K^+ \pi^+\pi^-\pi^+\pi^- system in the exclusive reaction pp\to p\Lambda K^+\pi^+\pi^-\pi^+\pi^- and the longitudinal or transverse momentum of $\Lambda$. Together with the longitudinal and transverse momentum dependence of Lambda polarization observed in inclusive reactions, such a correlation implies a dependence of Lambda polarization on these invariant masses. The qualitative features of this dependence are consistent with the recent observation by E766 collaboration at BNL. A quantitative estimation has been made using an event generator for $pp$ collisions. A detailed comparison with the data is made.Comment: 10 pages with 3 figures, submitted to J. Phys.

\u3ci\u3eHeller\u3c/i\u3e‘s Collateral Damage: As-Applied Challenges to the Felon-in-Possession Prohibition

A longstanding firearm regulation in the United States prohibits individual convicted of felonies and certain misdemeanors from possessing a firearm. Following the U.S. Supreme Court’s decision in District of Columbia v. Heller, waves of litigation challenged, among other laws, the felon-in-possession prohibition. Due to the lack of clarity in Heller and the Court’s refusal to address it, there is an unsettling circuit split over whether and how an individual can mount an as-applied challenge to the felon-in-possession prohibition. A decade after Heller, the Third Circuit upheld the first successful asapplied challenge while four circuits have denied the permissibility of these challenges, creating an urgent need for clarification from the Court. Because the Court denied certiorari in the Third Circuit case, the present state of the law is that an individual’s right to restore their Second Amendment rights is determined by where they live. The resulting issue cannot be relegated to the gun control debate and instead represents a constitutional dilemma that demands resolution by the Court. This Note argues that the Court is shirking its duties and should not continue to leave a fundamental right subject to an individual’s residence

Power Calculations for Preclinical Studies Using a K-Sample Rank Test and the Lehmann Alternative Hypothesis

Power calculations in a small sample comparative study, with a continuous outcome measure, are typically undertaken using the asymptotic distribution of the test statistic. When the sample size is small, this asymptotic result can be a poor approximation. An alternative approach, using a rank based test statistic, is an exact power calculation. When the number of groups is greater than two, the number of calculations required to perform an exact power calculation is prohibitive. To reduce the computational burden, a Monte Carlo resampling procedure is used to approximate the exact power function of a k-sample rank test statistic under the family of Lehmann alternative hypotheses. The motivating example for this approach is the design of animal studies, where the number of animals per group is typically small

Binding Energies in Nonrelativistic Field Theories

Relativistic corrections communicate the binding energy of a bound state to its kinetic mass. This mechanism is reviewed and used to explain anomalous results of Collins, Edwards, Heller, and Sloan (hep-lat/9512026), which compared rest and kinetic masses of heavy-light mesons and quarkonia.Comment: 4 pages, 1 figure, poster presented at LATTICE96(heavy quarks