Colors and Mass-to-Light Ratios of Bulges and Disks of Nearby Spiral Galaxies

We investigate colors and mass-to-light ratios ($M/L$s) of the bulges and disks for 28 nearby spiral galaxies with various morphological types of Sab to Scd, using images in optical and near-infrared ($V$, $I$, and $J$) bands and published rotation curves. It is shown that the observed colors and $M/L$s generally agree with the galaxy formation model with an exponentially declining star formation rate and shallow slope (ex. Scalo) initial mass function (IMF) for both the bulges and the disks. We find that the bulge $M/L$ is generally higher than the disk $M/L$ and that the galaxies with larger bulge-to-total luminosity ratio tend to have a smaller bulge $M/L$. The fact indicates that the luminosity-weighted average age of bulges for early-type spirals is younger than that of later-type spirals. These results support a formation scenario that produces young stars for the bulges of middle-type and early-type spirals.Comment: 33 pages, 24 figures, PASJ accepte

Signature of smooth transition from diabatic to adiabatic states in heavy-ion fusion reactions at deep subbarrier energies

We propose a novel extension of the standard coupled-channels framework for heavy-ion reactions in order to analyze fusion reactions at deep subbarrier incident energies. This extension simulates a smooth transition between the diabatic two-body and the adiabatic one-body states. To this end, we damp gradually the off-diagonal part of the coupling potential, for which the position of the onset of the damping varies for each eigen channel. We show that this model accounts well for the steep falloff of the fusion cross sections for the $^{16}$O+$^{208}$Pb, $^{64}$Ni+$^{64}$Ni, and $^{58}$Ni+$^{58}$Ni reactions.Comment: 4 pages, 4 figure

Existence of One-Body Barrier Revealed in Deep Sub-Barrier Fusion

Based on the adiabatic picture for heavy-ion reactions, in which the neck formation in the one-body system is taken into account, we propose a two-step model for fusion cross sections at deep subbarrier energies. This model consists of the capture process in the two-body potential pocket, which is followed by the penetration of the adiabatic one-body potential to reach a compound state after the touching configuration. We describe the former process with the coupled-channels framework, while the latter with the WKB approximation by taking into account the coordinate dependent inertia mass. The effect of the one-body barrier is important at incident energies below the potential energy at the touching configuration. We show that this model well accounts for the steep fall-off phenomenon of fusion cross sections at deep subbarrier energies for the $^{64}$Ni+$^{64}$Ni and $^{58}$Ni+$^{58}$Ni reactions.Comment: 4 pages, 3 figure

Applications of Fourier Series Technique to Inverse Laplace Transform : Part II

This paper describes some basic properties of the Fourier series, the finite Fourier approximation and the method of applying them to the numerical analysis of the Laplace transform. Some considerations of error analysis in numerical treaties and some numerical examples are given

Matric Operational Calculus and Its Applications

In analysing the linear physical systems with many variables, a good method is to use the matrix functions and the operational calculus. This paper describes the fundamental properties of the operational calculus for the matrix functions based on the Mikusinsky's method, and then, presents the method to analyse the periodically excited linear systems (periodically interrupted electric circuits of second genus)

Matric Operational Calculus and Its Applications : Part II

This paper describes the fundamental properties of the operational calculus based on the Mikusinsky's method for the matrix functions (sequences and series of operators, operational functions and their derivatives), and then, presents the analysis of the multi-conductor transmission systems for its applications