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K. Hayakawa

Publications and source records attributed to K. Hayakawa.

4 recordsLinked to original sources

Erice Lectures on Black Holes and Attractors

These lectures give an elementary introduction to the subject of four dimensional black holes (BHs) in supergravity and the Attractor Mechanism in the extremal case. Some thermodynamical properties are discussed and some relevant formulae for the critical points of the BH effective potential are given. The case of Maxwell-Einstein-axion-dilaton (super)gravity is discussed in detail. Analogies among BH entropy and multipartite entanglement of qubits in quantum information theory, as well moduli spaces of extremal BH attractors, are also discussed.

hep-th

XANES analysis of structural changes in a transient photoexcited state of metalloporphyrin

We have performed a structural analysis of the Ni K-edge XANES spectrum of a square planar coordination complex, Ni-tetramesitylporphyrin, Ni(II)TMP, in dilute toluene solution. The fit of the spectrum was carried out in the frame of the full multiple scattering (FMS) approach, via the MXAN program, starting from a muffin-tin (MT) form of the molecular potential. We have applied the MXAN analysis to the time-resolved XANES difference spectrum obtained between a 100 ps life-time photoexcited state of Ni(II)TMP (a relaxed triplet state, T1, obtained by exciting the Soret band) and the ground state, S0. From our direct simulation of the laser on/laser off difference spectrum, we obtain the fraction of T1 population (0.41-0.63) A in agreement with optical transient absorption determination, and a 0.05-0.1 A elongation of the d(Ni-N) and d(Ni-C) distances. The overall uncertainty on these results mostly depends on uncertainty on the chemical shift between the T1 and S0 state, that is assumed a priori in the differential analysis. Still our results are in good agreement with previous EXAFS data (obtained on a reconstructed absolute spectrum of the T1 state). Our best fit corresponds to no chemical shift, 54% fraction of T1 state, and either a (0.04 +/- 0.01) elongation of the average d(Ni-N) or a (0.06 +/- 0.01) elongation of the average d(Ni-pyrrol) when pyrrol rings are treated as perfectly rigid bodies. This work demonstrates that XANES spectroscopy can be used to provide structural information on square-planar transition metal compounds by analysing the metal K-edge via MS method under the MT approximation, and that XANES differential analysis can be successfully applied to study electronic/structural relationships in transient photoexcited species from time-resolved experiments.

cond-mat.mtrl-sci

A Nexafs Study of Nitric Oxide Layers Adsorbed from a nitrite Solution onto a Pt(111) Surface

NO molecules adsorbed on a Pt(111) surface from dipping in an acidic nitrite solution are studied by near edge X-ray absorption fine structure spectroscopy (NEXAFS), X-ray photoelectron spectroscopy (XPS), low energy electron diffraction (LEED) and scanning tunnelling microscopy (STM) techniques. LEED patterns and STM images show that no long range ordered structures are formed after NO adsorption on a Pt(111) surface. Although the total NO coverage is very low, spectroscopic features in N K-edge and O K-edge absorption spectra have been singled out and related to the different species induced by this preparation method. From these measurements it is concluded that the NO molecule is adsorbed trough the N atom in an upright conformation. The maximum saturation coverage is about 0.3 monolayers, and although nitric oxide is the major component, nitrite and nitrogen species are slightly co-adsorbed on the surface. The results obtained from this study are compared with those previously reported in the literature for NO adsorbed on Pt(111) under UHV conditions.

cond-mat.mtrl-sci

4D equivalence theorem and gauge symmetry on orbifold

We investigate the high-energy behavior of the scattering amplitudes in the extra dimensional gauge theory where the gauge symmetry is broken by the boundary condition. We study, in particular, the 5-dimensional SU(5) grand unified theory whose 5th-dimensional coordinate is compactified on S^1/Z_2. We pay attention to the gauge symmetry compatible with the boundary condition on the orbifold and give the BRST formalism of the 4D theory which is obtained through integration of the 5D theory along the extra dimension. We derive the 4D equivalence theorem on the basis of the Slavnov-Taylor identities. We calculate the amplitudes of the process including four massive gauge bosons in the external lines and compare them with the ones for the connected reactions where the gauge fields are replaced by the corresponding would-be NG-like fields. We explicitly confirm the equivalence theorem to hold.

hep-th