608 research outputs found

    Shift in critical temperature for random spatial permutations with cycle weights

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    We examine a phase transition in a model of random spatial permutations which originates in a study of the interacting Bose gas. Permutations are weighted according to point positions; the low-temperature onset of the appearance of arbitrarily long cycles is connected to the phase transition of Bose-Einstein condensates. In our simplified model, point positions are held fixed on the fully occupied cubic lattice and interactions are expressed as Ewens-type weights on cycle lengths of permutations. The critical temperature of the transition to long cycles depends on an interaction-strength parameter α\alpha. For weak interactions, the shift in critical temperature is expected to be linear in α\alpha with constant of linearity cc. Using Markov chain Monte Carlo methods and finite-size scaling, we find c=0.618±0.086c = 0.618 \pm 0.086. This finding matches a similar analytical result of Ueltschi and Betz. We also examine the mean longest cycle length as a fraction of the number of sites in long cycles, recovering an earlier result of Shepp and Lloyd for non-spatial permutations.Comment: v2 incorporated reviewer comments. v3 removed two extraneous figures which appeared at the end of the PDF

    Investigation of High-Spin, Particle-Hole Excitation in 208-Pb with Inelastic Proton Scattering at 200 MeV

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    This research was sponsored by the National Science Foundation Grant NSF PHY-931478

    A Test of Coplanarity and Far-Side Dominance in Intermediate Energy (d,p) and (p,d) Reactions

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    This research was sponsored by the National Science Foundation Grant NSF PHY 87-1440

    The Liverpool Statement 2005: Priorities for the European Union/United States Spiral Computed Tomography Collaborative Group

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    The Liverpool Statement 2005 was developed at the Fourth International Lung Cancer Molecular Biomarkers Workshop in Liverpool (October 27-29, 2005) and focused on the priorities for the European Union/United States (EU-US) Spiral Computed Tomography (CT) Collaborative Group. The application of spiral CT technology for early lung cancer screening has gained enormous momentum in the past 5 years. The EU-US Spiral CT Collaboration was initiated in 2001 in Liverpool, and subsequent meetings throughout Europe have resulted in the development of collaborative protocols and minimal data sets that provide a mechanism for the different trial groups to work together, with the ultimate aim to pool results. Considerable progress has been made with major national screening trials in the U.S. and Europe, which include IELCAP, NLST, and NELSON. The major objective of this international collaboration is the planned cross-analysis of the individual studies after they are reported. The EU-US researchers have agreed to a number of long-term objectives and to explore strategic areas for harmonization of complementary investigations

    0+ → 0- Excitations in 16-O with 200 MeV Proton Inelastic Scattering

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    This research was sponsored by the National Science Foundation Grant NSF PHY-931478

    Near-threshold K+K^{+} Production in Heavy-ion Collisions

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    Within a hadronic transport model we study in detail contributions to kaon yields and momentum spectra from various baryon (resonance)-baryon (resonance) and πN\pi N interactions in heavy-ion collisions at beam energies near the free-space kaon production threshold. It is found that the finite lifetime of baryon resonances affects significantly the shape of kaon spectra, and the high energy parts of the kaon spectra are dominated by kaons from πN→ΛK+\pi N\rightarrow \Lambda K^{+} processes. N∗(1440)N^{*}(1440) resonances are found to contribute about 10\% to the kaon yield. Effects of boosting the Fermi momentum distributions of the two colliding nuclei into their center of mass frame, centrality of the reaction as well as the nuclear equation of state on kaon yields and spectra are also discussed. Model calculations on K+K^{+}, π+\pi^{+} and π−\pi^{-} spectra for the reaction of Au+Au at Ebeam/A=1.0E_{beam}/A= 1.0 GeV are compared with the experimental data from the KaoS collaboration.Comment: 18 pages, 11 figures available upon request. TAMU preprint #940403

    Measurement of the Cross Sections and Analyzing Powers for Transitions in 58-Ni Using 200 MeV Proton Scattering

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    This research was sponsored by the National Science Foundation Grant NSF PHY-931478
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