17 research outputs found

    Supersymmetric Baryogenesis in a Hybrid Inflation Model

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    We study baryogenesis in a hybrid inflation model which is embedded to the minimal supersymmetric model with right-handed neutrinos. Inflation is induced by a linear combination of the right-handed sneutrinos and its decay reheats the universe. The decay products are stored in conserved numbers, which are transported under the interactions in equilibrium as the temperature drops down. We find that at least a few percent of the initial lepton asymmetry is left under the strong wash-out due to the lighter right-handed (s)neutrinos. To account for the observed baryon number and the active neutrino masses after a successful inflation, the inflaton mass and the Majorana mass scale should be 1013GeV10^{13}\,{\rm GeV} and O(107{\cal O}(10^{7}-1010)GeV10^{10})\,{\rm GeV}, respectively.Comment: 19 pages, 2 figure

    On simultaneous construction of Voronoi diagram and delaunay triangulation by physarum polycephalum

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    We experimentally demonstrate that both Voronoi diagram and its dual graph Delaunay triangulation are simultaneously constructed for specific conditions in cultures of plasmodium, a vegetative state of Physarum polycephalum. Every point of a given planar data set is represented by a tiny mass of plasmodium. The plasmodia spread from their initial locations but, in certain conditions, stop spreading when they encounter plasmodia originated from different locations. Thus space loci not occupied by the plasmodia represent edges of Voronoi diagram of the given planar set. At the same time, the plasmodia originating at neighboring locations form merging protoplasmic tubes, where the strongest tubes approximate Delaunay triangulation of the given planar set. The problems are solved by plasmodium only for limited data sets, however the results presented lay a sound ground for further investigations. © 2009 World Scientific Publishing Company
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