Eigensystem and full character formula of theW 1+∞ algebra withc = 1

By using the free field realizations, we analyze the representation theory of theW ₁₊ algebra withc = 1. The eigenvectors for the Cartan subalgebra ofW ₁₊ are parametrized by Young diagrams, and explicitly written down byW ₁₊ generators. Moreover, their eigenvalues and full character formula are also obtained.     

Three-Dimensional Information Acquisition Using a Compound Imaging System

The TOMBO (thin observation module by bound optics) system is a compound imaging system inspired by a biological visual system. Various interesting features can be utilized in the applications of the TOMBO system: in this paper, we present an effective method for three-dimensional information acquisition. An image captured by the TOMBO system is composed of multiple images observed from several viewpoints. Distance between the TOMBO system and an object can be estimated using disparity of the captured images. A new method for estimation of the object distance is introduced. In the experiment, multiple object distances can be successfully estimated by the proposed method. Using the obtained distances for image reconstruction, we can generate a composite image focussing on multiple objects.     

Image contrast analysis of STM images of self-assembled dioctadecyl chalcogenides on graphite at the liquid-solid interface.

The structures of self-assembled monolayers of dioctadecyl selenide (CH3(CH2)17)2Se and dioctadecyl telluride (CH3(CH2)17)2Te, as well as dioctadecyl ether (CH3(CH2)17)2O and dioctadecyl sulfide (CH3(CH2)17)2S, on graphite at the liquid-solid interface were systematically investigated by scanning tunneling microscopy (STM). Both dioctadecyl selenide and telluride formed monolayer structures in which the tilt angle between the molecular axis of the alkyl chain and the lamellae axis was 90 degrees , while dioctadecyl ether assembled with a tilt angle of 60 degrees . Dioctadecyl sulfide was found to make two different self-assembled structures having tilt angles of 60 and 90 degrees . When selenide was embedded in ether compounds in mixed self-assembled monolayers, the alkyl chains of the selenide became blurred, implying that the alkyl chains in the monolayers were unstable. This is in contrast with the structure of co-adsorbed monolayers of the ether and sulfide compounds, where the images of all alkyl chains had high spatial resolution. For the co-adsorbed monolayers, the image contrast of chalcogen atoms was normalized compared with that of alkyl chains of the ether compound in the same image frame. The normalized image contrast was found to be independent of the measurement conditions involving tip shapes, having the following trend, Te>Se>S>C>O. The difference in the normalized image contrast among chalcogen atoms are discussed based on fundamental parameters like polarizability and atomic radii.     

Structure and formation of deeply bound pionic atoms

We discuss some recent developments of the theoretical studies for the structure and formation of the deeply bound pionic atoms, which were found experimentally using (d,³He) reactions.     

Pionic atom factory project in the RIBF

We are preparing for a high resolution spectroscopy of the 1s and 2s pionic states of ¹²¹Sn in the ¹²²Sn(d,³He) reaction at the incident deuteron energy of ~500 MeV. The measurement will provide accurate information on the strong interaction between the pion and the nucleus, which leads to quantitative determination of the magnitude of the quark condensate at the normal nuclear density.     

Catalytic cyanomethylation of carbonyl compounds and imines with highly basic phosphine

A highly basic phosphine, tris(2,4,6-trimethoxy phenyl)phosphine (TTMPP), catalyzes cyanomethylation using trimethylsilylacetonitrile (TMSCH₂CN) to give the corresponding products in good to high yields, with both carbonyl compounds and imines.     

Photo-labeling of C60 with 3-trifluoromethyl-3-phenyldiazirine

The photochemical reaction of C₆₀ with 3-trifluoromethyl-3-phenyldiazirine affords a photo-labeled C₆₀ derivative. The derivative was characterized by mass, UV-vis absorption, NMR spectroscopy, and X-ray crystallographic analysis. The redox potentials of this derivative were also investigated by means of CV and DPV. This photo-labeling method to the fullerene surface is expected to be effective for constructing various kinds of bio-functionalized fullerenes.