Review of “Jurisdictional” Issues Under the Bumpers Amendment

The proposed Bumpers Amendment to the Administrative Procedure Act would encourage courts to be less deferential than they have previously been toward federal agencies\u27 views on issues of law. With regard to jurisdictional questions, the amendment would go further: it would invite courts not only to assert their independence, but also to disfavor agencies\u27 positions. Professor Levin regards this special rule of construction for jurisdictional questions as an attempt to achieve deregulation through judicial review. He criticizes this strategy as poorly conceived and calls attention to several weaknesses in the draftsmanship of the jurisdiction provision

Nonlegislative Rules and the Administrative Open Mind

The author\u27s main purpose here is to discuss the openmindedness that agencies are required to maintain towards the positions that they announce in nonlegislative rules. The author will offer a few observations about the circumstances in which this attitude is required, what agencies should do to maintain it, and how courts might police this obligation

Gluon saturation effects on J/Psi production in heavy ion collisions

We consider a novel mechanism for J/Psi production in nuclear collisions arising due to the high density of gluons. We calculate the resulting J/Psi production cross section as a function of rapidity and centrality. We evaluate the nuclear modification factor and show that the rapidity distribution of the produced J/Psi's is significantly more narrow in AA collisions due to the gluon saturation effects. Our results indicate that gluon saturation in the colliding nuclei is a significant source of J/Psi suppression that can be disentangled from the quark-gluon plasma effects.Comment: 5 pages, 3 figures; v2: typos corrected; presentation improve

Ejection of high-velocity stars from the Galactic Center by an inspiraling Intermediate-Mass Black Hole

The presence of young stars in the immediate vicinity and strong tidal field of SgrA* remains unexplained. One currently popular idea for their origin posits that the stars were bused in by an Intermediate-Mass Black Hole (IMBH) which has inspiraled into the Galactic Center a few million years ago. Yu and Tremaine (2003) have argued that in this case some of the old stars in the SgrA* cusp would be ejected by hard gravitational collisions with the IMBH. Here we derive a general expression for the phase-space distribution of the ejected high-velocity stars, given the distribution function of the stars in the cusp. We compute it explicitly for the Peebles-Young distribution function of the cusp, and make a detailed model for the time-dependent ejection of stars during the IMBH inspiral. We find that (1) the stars are ejected in a burst lasting a few dynamical friction timescales; if the ejected stars are detected by Gaia they are likely to be produced by a single inspiral event, (2) if the inspiral is circular than in the beginning of the burst the velocity vectors of the ejected stars cluster around the inspiral plane, but rapidly isotropise as the burst proceeds, (3) if the inspiral is eccentric, then the stars are ejected in a broad jet roughly perpendicular to the Runge-Lenz vector of the IMBH orbit. In a typical cusp the orbit will precess with a period of \sim 10^5 years, and the rate of ejection into our part of the Galaxy (as defined by e.g. the Gaia visibility domain) will be modulated periodically. Gaia, together with the ground-based follow-up observations, will be able to clock many high-velocity stars back to their ejection from the Galactic Center, thus measuring some of the above phenomena. This would provide a clear signature of the IMBH inspiral in the past 10--20 Myr.Comment: 12 pages, including 7 figure

Diffractive dissociation and saturation scale from non-linear evolution in high energy DIS

This paper presents the first numerical solution to the non-linear evolution equation for diffractive dissociation processes in deep inelastic scattering. It is shown that the solution depends on one scaling variable $\tau = Q^2/Q^{D 2}_s(x,x_0)$, where $Q^D_s(x,x_0)$ is the saturation scale for the diffraction processes. The dependence of the saturation scale $Q^D_s(x,x_0)$ on both $x$ and $x_0$ is investigated, ($Y_0 = \ln(1/x_0)$ is a minimal rapidity gap for the diffraction process). The $x$ - dependence of $Q^D_s$ turns out to be the same as of the saturation scale in the total inclusive DIS cross section. In our calculations $Q^D_s(x,x_0)$ reveals only mild dependence on $x_0$. The scaling is shown to hold for $x \ll x_0$ but is violated at $x \sim x_0$.Comment: 13 pages, 9 figure

Double coset construction of moduli space of holomorphic bundles and Hitchin systems

We present a description of the moduli space of holomorphic vector bundles over Riemann curves as a double coset space which is differ from the standard loop group construction. Our approach is based on equivalent definitions of holomorphic bundles, based on the transition maps or on the first order differential operators. Using this approach we present two independent derivations of the Hitchin integrable systems. We define a "superfree" upstairs systems from which Hitchin systems are obtained by three step hamiltonian reductions. A special attention is being given on the Schottky parameterization of curves.Comment: 19 pages, Late