Matter radii of light halo nuclei

We re-examine the matter radii of diffuse halo nuclei, as deduced from reaction cross section measurements at high energy. Careful consideration is given to the intrinsic few-body structure of these projectiles and the adiabatic nature of the projectile-target interaction. Using $^{11}$Li, $^{11}$Be and $^{8}$B as examples we show that data require significantly larger matter radii than previously reported. The revised value for $^{11}$Li of 3.55 fm is consistent with three-body models with significant $1s$-intruder state components, which reproduce experimental $^{9}$Li momentum distributions following $^{11}$Li breakup, but were hitherto thought to be at variance with cross section data.Comment: 8 pages RevTeX plus 5 Postscript figures. Figures also available at http://www.ph.surrey.ac.uk/scnp/jakpub/figures.html Scheduled tentatively for 13May96 issue of Phys. Rev. Let

Non-adiabatic corrections to elastic scattering of halo nuclei

We derive the formalism for the leading order corrections to the adiabatic approximation to the scattering of composite projectiles. Assuming a two-body projectile of core plus loosely-bound valence particle and a model (the core recoil model) in which the interaction of the valence particle and the target can be neglected, we derive the non-adiabatic correction terms both exactly, using a partial wave analysis, and using the eikonal approximation. Along with the expected energy dependence of the corrections, there is also a strong dependence on the valence-to-core mass ratio and on the strength of the imaginary potential for the core-target interaction, which relates to absorption of the core in its scattering by the target. The strength and diffuseness of the core-target potential also determine the size of the corrections. The first order non-adiabatic corrections were found to be smaller than qualitative estimates would expect. The large absorption associated with the core-target interaction in such halo nuclei as Be11 kills off most of the non-adiabatic corrections. We give an improved estimate for the range of validity of the adiabatic approximation when the valence-target interaction is neglected, which includes the effect of core absorption. Some consideration was given to the validity of the eikonal approximation in our calculations.Comment: 14 pages with 10 figures, REVTeX4, AMS-LaTeX v2.13, submitted to Phys. Rev.

Quantum variational measurement in the next generation gravitational-wave detectors

A relatively simple method of overcoming the Standard Quantum Limit in the next-generation Advanced LIGO gravitational wave detector is considered. It is based on the quantum variational measurement with a single short (a few tens of meters) filter cavity. Estimates show that this method allows to reduce the radiation pressure noise at low frequencies ($<100 \mathrm{Hz}$) to the level comparable with or smaller than the low-frequency noises of non-quantum origin (mirrors suspension noise, mirrors internal thermal noise, and gravity gradients fluctuations).Comment: 12 pages, 4 figures; NSNS SNR estimates added; misprints correcte

A Domestic Disturbance: The Seventh Circuit Encroaches on Foreign Related Party Transactions

Has deference to administrative regulation gone too far in its impact on American corporations and consequently become to great a foe to American corporations in a global marketplace? In the wake of the widespread corporate scandals, many of the regulations enacted are aimed at combating corporate fraud. Recently, in Square D Co. v. Commissioner of the Internal Revenue Service, the Seventh Circuit Court of Appeals upheld the validity of one such regulation, requiring taxpayers to utilize the cash basis method of accounting to deduct interest payments made to tax-exempt foreign related parties. This Note examines where this regulation fits with other similarly aimed provisions;the Seventh Circuit’s rationale for upholding this regulation;arguments for a more narrow construction of the power allocated to the Secretary of the Treasury;and concludes that, based on the overarching purpose of preventing corporate fraud, the Seventh Circuit’s decision was correct in substance but was overly deferential to administrative regulation and ignored many compelling arguments that support its decision