Showing papers by "Aoyama Gakuin University published in 1972"

Parallel Line Assignment Problems

Abstract: Two problems involving the assignment of men to jobs, in a production system with parallel lines, to maximize the steady state system production rate are studied. In the first, in which a man's production rate is independent of the line to which he is assigned, a simple rule “group the fastest men in the same line” is shown to be optimal. In the second, in which production rates are dependent on the production line, an algorithm is developed to obtain a solution.

Effect of Impurities on the Level Density of an Electron Gas in a Strong Magnetic Field

Abstract: The effect of impurities on the level density of an electron gas in a strong magnetic field is investigated. An approximate closed set of equations is given for the one-particle Green's function of the electron gas assuming the random distribution of the impurities. The self-energy included is the sum of multiple scattering from each impurity where the true Green's function is used for the propagator. The set of equations is solved numerically in a self-consistent way for the level density. Discussions are given for the validity of various approximations proposed in the past for this system.

A novel method for the preparation of phenylthiomethyl ketones

Abstract: It has been found that the reaction of bis (phenylthlio)methyllithium with various aldehydes, followed by treatment with methyllithium leads to the formation of the corresponding phenylthiomethyl ketones, accompanied with liberation of phenylthiolate anion, in high yields.

Discrete Structure in Velocity Space

Abstract: The introduction of discreteness into the space-time continuum is perhaps one of the most interesting ideas in recent high energy particle physics. In fact, some authors1' have discussed this possibility, though the relation between their ideas and the experimental data has not been well treated; In a previous paper,2' we 'have attempted progress in this direction and proposed a theory in which we establish a relation between the observed enhancements in the distribution of the longitudinal Lorentz angles for the meson clusters emitted from cosmic ray jet interactions8'· and the simplest three-dimensional integral Lorentz transformation." It is remarkable in this theory that there exists a specific (minimum) velocity v = ( ..J8 I 3) c corresponding to the Lorentz angle O=cosh-1 3=1.7628 (=0,.) or the Lorentz factor r=3. It is the purpose of the present paper to call attention to the possible existence of another specific velocity ( v3/2)c. The velocity space is very important for the kinematical analysis of the multi-particle final states resulting from high energy particle collisions, since it is the very space where hodograph methods are available.5> Previously2' we used the longitudinal Lorentz angle 0=tanh-1 (v0/c), and found that the distribution of particles in this one-dimensional space is uniform with mesh size 0~1.7, as pointed out by Hasegawa,8> suggesting the presence.of discrete .:velocity levels. This mesh size was almost equal to the: minimum Lorentz angle o,., i.e., the Lorentz angle induced by the simplest three-dimensional. integral Lorentz transformation. However, from the theoretical viewpoint, there is no reason to exclude the four-dimensional case where the minimum velocity should be smaller than the three-dimensional case, i.e., v= (v3/2)c, O=cosh-1 2=1.31696 (=0.,.), r=2. · This indicates that there exists another kind of particle distribution with .mesh size 0.,;,. As Om is the minimum possible Lorentz angle, it is inferred that the reactions with mesh ·size Om occur most frequently. But the observation of the signals which come from discrete ·velocity levels are concentrated strongly at mesh size smaller than Om 'for many reasons, for example, a) the stronger secondary effects which mediate between observed mesons and primary objects, b) the stronger .9verlapping of clusters in velocity space. Though Hasegawa8> measured the mesh size directly for the reactions with mesh size 0/,, the same method may not be applicable to the events with mesh size Om.

ANALYSIS OF D(α,αp)n REACTION

Abstract: Publisher Summary Though the off-energy-shell impulse approximation (OIA) is one of the simplest and most useful methods in the analysis of the three-body exit channel reactions, one should be careful in the application to the theory of D(α, α p)n reaction. The partial amplitudes calculated by OIA are too large in the S-, P-, and D-states of entrance channel and exceed the unitary limit in large for E lab ≥ 20MeV. The resultant strong suppression of the partial amplitudes in these states reflects on excit channels as the suppression in S- and P-states. These are the very reason why the new impulse approximation (NIA) gives rather good results. Though NIA is a simple and convenient method to estimate crudely the effects of the strong suppression of partial amplitudes, it is still an approximate theory in which only the effects of the final state interaction of spectator nucleon are taken into account and the α-D initial state interaction is not treated well. This chapter presents the method in which differential cross sections are calculated to estimate adequately the effects of the initial state interaction that result in the reduction of partial amplitudes in entrance channel. A phenomenological method is used to determine the reduction parameters of partial amplitudes.