Primordial Nucleosynthesis: Accurate Predictions

A new accurate evaluation of primordial light nuclei abundances is presented. The proton to neutron conversion rates have been corrected to take into account radiative effects, finite nucleon mass, thermal and plasma corrections. The theoretical uncertainty on 4He is so reduced to the order of 0.1%.Comment: 4 pages, Talk given at the International Workshop on Particles in Astrophysics and Cosmology: From Theory to Observation, Valencia 199

Improved contact algorithms for implicit FE simulation of sheet forming

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John S. Wagoner to Senator Mike Mansfield, Senator Everett M. Dirksen, Congressman John W. McCormack, and Congressman Charles A. Halleck, 26 September 1962

Wagoner advocates against the use of American troops to force the enrollment of James Meredith in the Univeristy of Mississippi. He advises a peaceful solution.https://egrove.olemiss.edu/west_union_gov/1078/thumbnail.jp

Filtering post-Newtonian gravitational waves from coalescing binaries

Gravitational waves from inspiralling binaries are expected to be detected using a data analysis technique known as {\it matched filtering.} This technique is applicable whenever the form of the signal is known accurately. Though we know the form of the signal precisely, we will not know {\it a priori} its parameters. Hence it is essential to filter the raw output through a host of search templates each corresponding to different values of the parameters. The number of search templates needed in detecting the Newtonian waveform characterized by three independent parameters is itself several thousands. With the inclusion of post-Newtonian corrections the inspiral waveform will have four independent parameters and this, it was thought, would lead to an increase in the number of filters by several orders of magnitude---an unfavorable feature since it would drastically slow down data analysis. In this paper I show that by a judicious choice of signal parameters we can work, even when the first post-Newtonian corrections are included, with as many number of parameters as in the Newtonian case. In other words I demonstrate that the effective dimensionality of the signal parameter space does not change when first post-Newtonian corrections are taken into account.Comment: 5 pages, revtex, 2 figures available upon reques

Deconvolving the information from an imperfect spherical gravitational wave antenna

We have studied the effects of imperfections in spherical gravitational wave antenna on our ability to properly interpret the data it will produce. The results of a numerical simulation are reported that quantitatively describe the systematic errors resulting from imperfections in various components of the antenna. In addition, the results of measurements on a room-temperature prototype are presented that verify it is possible to accurately deconvolve the data in practice.Comment: 5 pages, 2 figures, to be published in Europhysics Letter

Ohio\u27s Modern Courts Amendment Must Be Amended: Why and How

A 1968 amendment to the Ohio Constitution granted the Supreme Court of Ohio the authority to promulgate “rules governing practice and procedure” for Ohio courts. The amendment also provided that “[a]ll laws in conflict with such rules shall be of no further force or effect after such rules have taken effect” and that no rule may “abridge, enlarge, or modify any substantive right.” Although the amendment was explicit about automatic repeal of existing laws, it says nothing about whether the General Assembly may legislate on a procedural matter after a court rule takes effect. That silence has caused enduring confusion. Since 1968, the Supreme Court of Ohio has considered dozens of cases in which a court-promulgated rule appears to conflict with a subsequently enacted statute. The court has reached two views on whether later-enacted statutes that conflict with existing court rules are constitutional. One holds that, because the constitution grants rulemaking authority exclusively to the court, the General Assembly has no authority once the court promulgates a procedural rule. It has also held the opposite: the General Assembly may legislate on a procedural matter already addressed in a court rule if the legislature intends to remake that “matter of practice or procedure” into a “substantive right.” These contradictory interpretations cannot both be right, yet each remains controlling precedent in Ohio. Neither of the court’s contradictory rulings rests on a cogent textual analysis of the 1968 amendment. This failing, however, is no reflection on the court. A definitive resolution of the conflicting interpretations is impossible because the sparse language of the amendment simply does not contain enough textual foundation from which to derive a compelling, permanent answer—one way or the other. The authors propose an amendment that would add language to the 1968 amendment. By providing a textual basis for the court’s second interpretive ruling, it would make clear and permanent the legislature’s authority to share in the process of forming court rules. It would align Ohio’s rulemaking process with Congress’s participation in rulemaking for federal courts and with the large majority of states that preserve for their legislatures at least some participation in forming the content of rules of practice and procedure

Corotation Resonance and Diskoseismology Modes of Black Hole Accretion Disks

We demonstrate that the corotation resonance affects only some non-axisymmetric g-mode oscillations of thin accretion disks, since it is located within their capture zones. Using a more general (weaker radial WKB approximation) formulation of the governing equations, such g-modes, treated as perfect fluid perturbations, are shown to formally diverge at the position of the corotation resonance. A small amount of viscosity adds a small imaginary part to the eigenfrequency which has been shown to induce a secular instability (mode growth) if it acts hydrodynamically. The g-mode corotation resonance divergence disappears, but the mode magnitude can remain largest at the place of the corotation resonance. For the known g-modes with moderate values of the radial mode number and axial mode number (and any vertical mode number), the corotation resonance lies well outside their trapping region (and inside the innermost stable circular orbit), so the observationally relevant modes are unaffected by the resonance. The axisymmetric g-mode has been seen by Reynolds & Miller in a recent inviscid hydrodynamic accretion disk global numerical simulation. We also point out that the g-mode eigenfrequencies are approximately proportional to m for axial mode numbers |m|>0.Comment: 16 pages, no figures. Submitted to The Astrophysical Journa

Normal Modes of Black Hole Accretion Disks

This paper studies the hydrodynamical problem of normal modes of small adiabatic oscillations of relativistic barotropic thin accretion disks around black holes (and compact weakly magnetic neutron stars). Employing WKB techniques, we obtain the eigenfrequencies and eigenfunctions of the modes for different values of the mass and angular momentum of the central black hole. We discuss the properties of the various types of modes and examine the role of viscosity, as it appears to render some of the modes unstable to rapid growth