Heavy-to-light form factors in the quark model with heavy propagators

We calculate the heavy-to-light form factors in the relativistic quark model with heavy infrapropagators. Their q^2-dependence in the physical region is defined by two parameters: the "infrared" parameter \nu characterizing the infrared behavior of the heavy quark and the mass difference of the heavy meson and heavy quark E=m_H-M_Q. It is found that the values of the D\to K(K^*) and D\to \pi(\rho) form factors at q^2=0 are in excellent agreement with the available experimental data and other approaches whereas these values for B\to \pi(\rho) transitions are found to be larger than those of several other models. The obtained form factors are used to calculate the widths of the semileptonic decays of B and D mesons. The comparison of our results with the available experimental data and other approaches is givenComment: 15 pages, 3 eps figures. New references are added, corrected some typos. To appear in Few-Body System

Accretion process of the moon

Recent geochemical and geophysical data suggest that the initial temperature of the moon was strongly peaked toward the lunar surface. To explain such an initial temperature distribution, a simple model of accretion process of the moon is presented. The model assumes that the moon was formed from the accumulation of the solid particles or gases in the isolated, closed cloud. Two equations are derived to calculate the accretion rate and surface temperature of the accreting moon. Numerical calculations are made for a wide range of the parameters particle concentration and particle velocity in the cloud. A limited set of the parameters gives the initial temperature profiles as required by geochemical and geophysical data. These models of the proto-moon cloud indicate that the lunar outermost shell, about 400 km thick, was partially or completely molten just after the accretion of the moon and that the moon should have been formed in a period shorter than 1000 years. If the moon formed at a position nearer to the earth than its present one, the moon might have been formed in a period of less than one year

D Mesons in Nuclear Matter: A DN Coupled-Channel Equations Approach

A set of coupled two-body scattering equations is solved for the DN system embedded in an iso-symmetric nuclear matter. The in-medium behavior of charmed D mesons: (D^+,D^0), is investigated from the self-consistent solution within this scheme. The effective meson-baryon Lagrangian in charm quantum number one sector, the key ingredient in the present study, is adopted from a recent model by Hofmann and Lutz which has aimed at combining the charmed meson degree of freedom in a consistent manner with chiral unitary models. After a critical examination, the original model is modified in several important aspects, such as the method of regularization, in order to be more consistent and practical for our objective. The resultant interaction is used to reproduce the position and width of the s-wave \Lambda_c(2593) resonance in the isospin zero DN channel. In the isospin one channel, it generates a rather wide resonance at \~2770 MeV. The corresponding in-medium solution is then sought by incorporating Pauli blocking and the D- and \pi-meson dressing self-consistently. At normal nuclear matter density, the resultant \Lambda_c (2593) is found to stay narrow and shifted at a lower energy, while the I=1 resonance is lowered in position as well and broadened considerably. The possible implication of our findings on the J/\Psi suppression, etc. in relativistic heavy ion collisions is briefly discussed.Comment: 30 pages, 8 eps figures, some typos and coefficients corrected, published in Phys. Rev.

Gauge independence of Abelian and monopole dominance

We formulate a stochastic gauge fixing method to study the gauge dependence of Abelian projection. In this method, one can change the gauge from the maximally Abelian one to no gauge fixing continuously. We have found that the linear part of the heavy quark potential from Abelian contribution depends little on the gauge parameter. Similar results have been obtained for the monopole contribution part.We also investigate the gauge dependence of the length of monopole loop, which is known to be important for the confinement, and monopole density. These results suggest that the picture that monopole plays an important role for the confinement of QCD dose not depend on choice of the gauge.Comment: Lattice 2000 (Topology), 4 pages, 7 figures, LaTe

Heavy quark limit in the model with confined light quarks and infrared heavy quark propagators

We have studied the weak decay constants and the Isgur-Wise form factor of the B and D mesons in the heavy quark limit, by employing a relativistic quark confinement model. It is an attempt to improve our previous work within the same line of thinking, but by incorporating a couple of novel aspects. First, the infrared behavior of the heavy quark is considered by modifying its conventional propagator in terms of a single parameter $\nu$. Second, the mass difference of the heavy meson and heavy quark: $E=m_H-M_Q$ has been included. It is found that the weak decay constants depend strongly on the mass difference E with a relatively mild $\nu$ dependence. As for the Isgur-Wise function it is controlled more sensitively by the infrared parameter $\nu$, leading to its suppression at maximum meson recoil

Consistent Estimation of Mixed Memberships with Successive Projections

This paper considers the parameter estimation problem in Mixed Membership Stochastic Block Model (MMSB), which is a quite general instance of random graph model allowing for overlapping community structure. We present the new algorithm successive projection overlapping clustering (SPOC) which combines the ideas of spectral clustering and geometric approach for separable non-negative matrix factorization. The proposed algorithm is provably consistent under MMSB with general conditions on the parameters of the model. SPOC is also shown to perform well experimentally in comparison to other algorithms

Measurement of the Vertical Distribution of Reflected Solar Radiation*

The purpose of this study was to develop a devicefor measuring the vertical distribution of the reflected radiation to the inside of a room from terrace to building.The proposed device is attached to aluminum plates that are painted matte black at intervals of 20 cm on polystyrene insulation. The surface temperature of the aluminum plate, called the SAT (sol-air temperature), is used as an indicator of the quantity of solar radiation. In order to compare terrace materials, two of the measuring devices were located facing south.Concrete tile, artificial turf, and wood chips were selected as materials to be comparedfor the surface of the terrace and were laid in front of the measuring devices. The results indicate that the SAT reflected onto a vertical plane was higher closer to the ground for all materials. Hourly fluctuations of the vertical distribution of the reflected solar radiation differed, depending on the terrace surface material. When concrete tiles of different thicknesses were compared, the temporal heating patterns varied due to differences in heat capacity. These results lead us to the conclusion that using the developed measuringdevice enables grasping the effect of vertical distribution of reflected solar radiation from a terrace