The theory of radiation emitted by a charged particle with spin in relativistic motion in an external magnetic field is reviewed. Approximate expressions suitable numerical computation, in far and near field, are derived. In particular, the case of the passage of a particle accelerator beam through an undulator is considered. It is shown that observation of the spectrum of the emitted radiation, in its two states of polarization, can be used not only for beam diagnostics, but also to measure the spin state of the accelerated particles. Undulator radiation is compared with Compton scattering of laser light by the particle beam. Examples for high energy electron and proton colliders are presented.

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This article is concerned with free boundary problems for the differential equations u{double_prime} + (2{nu} + 1)/r u{prime} + u - u{sup q} = 0, r > 0, where 0 {le} q < 1 and {nu} {ge} 0. As was shown by Kaper and Kwong, there exists a unique R > 0, such that the equation admits a classical solution u that is positive and monotone on (0,R) and that satisfies the boundary conditions u{prime}(0) = 0, u(R) = u{prime}(R) = 0. This article is concerned with the behavior of R and u(0) as q {yields} 1.

This report provides the experimental data and rationale in support of the operating parameters for precipitate hydrolysis specified in WSRC-RP-92737. The report is divided into two sections, the first dealing with lab-scale precipitate hydrolysis experimentation while the second part addresses large-scale runs conducted to demonstrate the revised operating parameters in the Precipitate Hydrolysis Experimental Facility (PHEF).

The theory of radiation emitted by a charged particle with spin in relativistic motion in an external magnetic field is reviewed. Approximate expressions suitable numerical computation, in far and near field, are derived. In particular, the case of the passage of a particle accelerator beam through an undulator is considered. It is shown that observation of the spectrum of the emitted radiation, in its two states of polarization, can be used not only for beam diagnostics, but also to measure the spin state of the accelerated particles. Undulator radiation is compared with Compton scattering of laser light by the particle beam. Examples for high energy electron and proton colliders are presented.

This report provides the experimental data and rationale in support of the operating parameters for precipitate hydrolysis specified in WSRC-RP-92737. The report is divided into two sections, the first dealing with lab-scale precipitate hydrolysis experimentation while the second part addresses large-scale runs conducted to demonstrate the revised operating parameters in the Precipitate Hydrolysis Experimental Facility (PHEF).

An economical gas lift system has been designed that uses the airlift principles of the APOP system to enable one to pump deep wells which have been initially pumped using jack pumps. It can be constructed and installed in oil and/or gas wells where jack pumps have been operating. The 2 in. tubing in the bore hole is left in place and the rods are pulled from the normally 2 in. tubing. A 1 in. or greater diameter tubing containing a one way valve near its bottom and several small holes near the bottom of the 1 in. tube and just above the one way valve is installed into the 2 in. tubing. The one inch tube extends the total length of the 2 in. tubing and is seated on the seating nipple at the bottom of the 2 in. tubing. The space between the concentric tubes can serve as the gas(air) line and the center 1 in. tube serves as the liquid discharge line. This enables this pump to be used in many marginal wells which ordinarily would be uneconomical to pump. This is especially true for deep wells because the cost of jack pumps and the tubing as …

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An economical gas lift system has been designed that uses the airlift principles of the APOP system to enable one to pump deep wells which have been initially pumped using jack pumps. It can be constructed and installed in oil and/or gas wells where jack pumps have been operating. The 2 in. tubing in the bore hole is left in place and the rods are pulled from the normally 2 in. tubing. A 1 in. or greater diameter tubing containing a one way valve near its bottom and several small holes near the bottom of the 1 in. tube and just above the one way valve is installed into the 2 in. tubing. The one inch tube extends the total length of the 2 in. tubing and is seated on the seating nipple at the bottom of the 2 in. tubing. The space between the concentric tubes can serve as the gas(air) line and the center 1 in. tube serves as the liquid discharge line. This enables this pump to be used in many marginal wells which ordinarily would be uneconomical to pump. This is especially true for deep wells because the cost of jack pumps and the tubing as …