Parametric Resonance in Neutrino Oscillation: A Guide to Control the Effects of Inhomogeneous Matter Density

Effects of the inhomogeneous matter density on the three-generation neutrino oscillation probability are analyzed. Realistic profile of the matter density is expanded into a Fourier series. Taking in the Fourier modes one by one, we demonstrate that each mode has its corresponding target energy. The high Fourier mode selectively modifies the oscillation probability of the low-energy region. This rule is well described by the parametric resonance between the neutrino oscillation and the matter effect. The Fourier analysis gives a simple guideline to systematically control the uncertainty of the oscillation probability caused by the uncertain density of matter. Precise analysis of the oscillation probability down to the low-energy region requires accurate evaluation of the Fourier coefficients of the matter density up to the corresponding high modes.Comment: 7 pages, 5 eps figure

CP and T violation in long baseline experiments with low energy neutrino from muon storage ring

Stimulated by the idea of PRISM, a very high intensity muon ring with rather low energy, we consider possibilities of observing CP-violation effects in neutrino oscillation experiments. More than 10% of CP-violation effect can be seen within the experimentally allowed region. Destructive sum of matter effect and CP-violation effect can be avoided with use of initial nu_e beam. We finally show that the experiment with (a few) x 100 MeV of neutrino energy and (a few) x 100 km of baseline length, which is considered in this paper, is particularly suitable for a search of CP violation in view of statistical error.Comment: 12 pages, 3 eps figures included, LaTeX. A new section is added (v2). Errors in Table 2 and reference are corrected (v3

Minimum Supersymmetric Standard Model on the Noncommutative Geometry

We have obtained the supersymmetric extension of spectral triple which specify a noncommutative geometry(NCG). We assume that the functional space H constitutes of wave functions of matter fields and their superpartners included in the minimum supersymmetric standard model(MSSM). We introduce the internal fluctuations to the Dirac operator on the manifold as well as on the finite space by elements of the algebra A in the triple. So, we obtain not only the vector supermultiplets which meditate SU(3)xSU(2)xU(1)_Y gauge degrees of freedom but also Higgs supermultiplets which appear in MSSM on the same standpoint. Accoding to the supersymmetric version of the spectral action principle, we calculate the square of the fluctuated total Dirac operator and verify that the Seeley-DeWitt coeffients give the correct action of MSSM. We also verify that the relation between coupling constants of $SU(3)$,$SU(2)$ and $U(1)_Y$ is same as that of SU(5) unification theory

Supersymmetric Yang-Mills Theory on the Noncommutative Geometry

Recently, we found the supersymmetric counterpart of the spectral triple. When we restrict the representation space to the fermionic functions of matter fields, the counterpart which we name "the triple" reduces to the original spectral triple which defines noncommutative geometry. We see that the fluctuation to the supersymmetric Dirac operator induced by algebra in the triple generates vector supermultiplet which mediates gauge interaction. Following the supersymmetric version of spectral action principle, we calculate the heat kernel expansion of the square of fluctuated Dirac operator and obtain the correct supersymmetric Yang-Mills action with U(N) gauge symmetry.Comment: arXiv admin note: text overlap with arXiv:1201.344

Reproduction of Lateral Ground Displacements and Lateral-Flow Earth Pressures Acting on Pile Foundations Using Centrifuge Modeling

Dynamic centrifuge model tests were conducted to simulate the seismically-induced displacements of sheet pile quay walls, in order to understand the mechanisms of lateral ground flow of liquefied soil and to evaluate the effects of the lateral-flow earth pressures acting on pile foundations. Two wall-structure-soil model systems were prepared in a laminar container with the inner dimensions of 31.5cm in the height, 47.5cm in the width and 80cm in the length. Shaking table tests were performed under a centrifuge acceleration of 30 g. The first model was designed to simulate the lateral ground flow displacements both during shakings and post liquefaction on sand ground behind a sheet pile quay wall. The second model was designed to measure lateral-flow earth pressures acting on pile foundations against lateral ground flow that probably occurs due to induced lateral movement of the sheet pile wall. It was found that the tests could virtually reproduce the actual lateral-flow of ground caused both during shakings and post liquefaction; the influence of shaking acceleration was very large for the residual displacement of pile foundations; the lateral-flow earth pressures acting on foundations were considerably smaller than the value calculated in the Specifications for Highway Bridges

Morphological and Allozymic Variation in Hynobius boulengeri and H. stejnegeri (Amphibia: Urodela: Hynobiidae)

We studied morphological and allozymic variation in populations of Japanese salamanders, Hynobius boulengeri and H. stejnegeri. Adult H. boulengeri showed sexual dimorphism, and juveniles differed greatly from adults in many morphological characters. From the results of multivariate analyses of morphological characters, the populations were divided into four groups: (I) H. boulengerifrom Honshu, (II) H. boulengeri from Shikoku, (III) H. boulengeri from the Sobo-Katamuki Mountains of Kyushu and H. stejnegeri, and (IV) H. boulengeri from the Amakusa Islands and the Osumi Peninsula. Phenotypic relationships among the four groups were identical to relationships clarified by allozymic analyses, except for group IV, which was included in group III in the allozyme tree. Some morphometric characters were significantly correlated with environmental variables. We consider H. stejnegeri to be a valid species based on its unique color pattern, morphometric characters, and allelic composition, even though it was nested within group III of H. boulengeri by both morphological and allozymic analyses. We propose that group I from Honshu and group II from Shikoku should be treated as H. boulengeri sensu stricto and H. hirosei, respectively. Resolving the taxonomic status of the remaining populations of groups III and IV from Kyushu requires further study