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Is the momentum space optimally used with the FODO lattices?

Description: The available momentum space of a FODO lattice is determined by the maximum value of the dispersion function ({delta}x = D{sub x} {partial_derivative}p/p). In a regular FODO lattice the dispersion function oscillates between its maximum and minimum values, which are always positive. The maximum value of the dispersion function in a FODO cell of a fixed length depends on the cell phase difference. An example of a new lattice, in which the dispersion function is lowered to half its value in the same FODO cell, is presented. ne available momentum space in the new lattice is raised to twice that in the FODO lattice by allowing the dispersion function to oscillate between the same positive and negative values. The maxima of the dispersion function in the new lattice have half the value of those within the regular 900 cells.
Date: July 1, 1993
Creator: Trbojevic, D.; Ng, K.Y. & Lee, S.Y.
Partner: UNT Libraries Government Documents Department

Energy and momentum conserving algorithms for rigid body contact

Description: Energy-momentum conserving methods are developed for rigid body dynamics with contact. Because these methods are unconditionally stable, they are not time step dependent and, hence, are well suited for incorporation into structural mechanics finite element codes. Both penalty and Lagrange multiplier methods are developed herein and are the extension of the energy-momentum conserving integration schemes for rigid bodies given by Simo and Wong [1].
Date: April 9, 1998
Creator: Puso, M.A. & Zywicz, E.
Partner: UNT Libraries Government Documents Department

Measurement of the polarization parameter for the reaction $pi$$sup - $p$Yields$$pi$$sup 0$n between 1.03 and 1.79 GeV/c

Description: From 2nd international conference on elementary particles; Aixen- Provence, France (6 Sep 1973). Measurements of the polarization parameter for the reaction pi /sup -/p yields pi /sup o/n were made at the five momenta 1.03, 1.245, 1.44, 1.5 and 1.79 GeV/c. A polarized target was used, with polarizations achieved ranging from 48 to 57%. Salient features of the experiment were the use of neutron counters for time-of-flight measurements as well as angular information and the use of optical spark chambers, seven to eight radiation lengths thick, for the detection of the gamma rays from the decay of the pi /sup o/. The center-ofmass angular range covered by the 20 neutron counters was typically --.78 < cos THETA /sub c.m. <.87. For each momentum there are approximately 10,000 events which fit pi /sup -/p yields pi /sup o/ n with a confide nce level of at least 10%. (auth)
Date: September 1, 1973
Creator: Shannon, S.R.; Anderson, L.; Bridgewater, A.; Chaffee, R.; Chamberlain, O.; Dahl, O. et al.
Partner: UNT Libraries Government Documents Department

Exact invariants in resonance form for time-dependent potentials

Description: We have developed a framework for the momentum-resonance formulation of Lewis and Leach that casts new light into the nature of exact, explicitly time-dependent invariants for one-dimensional time-dependent potentials and produces additional examples of such invariants. The momentum-resonance formulation postulates that the invariant be a rational function of momentum with simple poles, which are called momentum resonances. We have shown that an invariant of resonance type can be written as a functional of the potential in terms of the solution of a system of linear algebraic equations; and we have obtained a single necessary and sufficient condition for a potential to admit an invariant of resonance type. These results were obtained by reformulating the problem in terms of a set of discrete moments that satisfy two separate recursion formulae. Invariants for new time-dependent potentials were obtained and previously known invariants were recovered.
Date: January 1, 1985
Creator: Lewis, H.R. & Goedert, J.
Partner: UNT Libraries Government Documents Department

Summary of the working group 4: Hadron spectroscopy

Description: This report is a summary of the working group 4 on hadron spectroscopy. The topics covered are: physics motivation; design of spectrometer; status of some existing hadron spectrometers; improvements to LASS; and arguments for/against a LASS-like design.
Date: March 1, 1991
Creator: Crowe, K.M.
Partner: UNT Libraries Government Documents Department

Overview, goals, and preliminary results of E910 laboratory directed research and development at Lawrence Livermore National Laboratory

Description: E910 is a large acceptance proton-nucleus experiment at the BNL AGS. The experiment completed its first run in the Spring of 1996, collecting more than 20 million pA events, using Be, Cu, Au, and U targets. We present preliminary results for momentum conservation, slow proton distributions, and dN/dy for negative tracks. 16 refs., 5 figs.
Date: January 24, 1997
Creator: Soltz, R.A. & Collaboration, E910
Partner: UNT Libraries Government Documents Department