On the origin of families of quarks and leptons - predictions for four families

The approach unifying all the internal degrees of freedom--proposed by one of us--is offering a new way of understanding families of quarks and leptons: A part of the starting Lagrange density in d(=1+13), which includes two kinds of spin connection fields--the gauge fields of two types of Clifford algebra objects--transforms the right handed quarks and leptons into the left handed ones manifesting in d=1+3 the Yukawa couplings of the Standard model. We study the influence of the way of breaking symmetries on the Yukawa couplings and estimate properties of the fourth family--the quark masses and the mixing matrix, investigating the possibility that the fourth family of quarks and leptons appears at low enough energies to be observable with the new generation of accelerators.Comment: 31 pages,revte

"An effective two dimensionality" cases bring a new hope to the Kaluza-Klein[like] theories

One step towards realistic Kaluza-Klein[like] theories and a loop hole through the Witten's "no-go theorem" is presented for cases which we call an effective two dimensionality cases: In $d=2$ the equations of motion following from the action with the linear curvature leave spin connections and zweibeins undetermined. We present the case of a spinor in $d=(1+5)$ compactified on a formally infinite disc with the zweibein which makes a disc curved on an almost $S^2$ and with the spin connection field which allows on such a sphere only one massless normalizable spinor state of a particular charge, which couples the spinor chirally to the corresponding Kaluza-Klein gauge field. We assume no external gauge fields. The masslessness of a spinor is achieved by the choice of a spin connection field (which breaks parity), the zweibein and the normalizability condition for spinor states, which guarantee a discrete spectrum forming the complete basis. We discuss the meaning of the hole, which manifests the noncompactness of the space.Comment: 26 pages, 1 figure, an addition which helps to clarify the assumptions and their consequences (the discreteness of spectrum, the massless solution of one handedness,..

A New Form of the Two-Center Integral and its Application in the Semiempirical LCAO MO Method

This reduction was interpreted as a readjustment of cr electrons which then »screen« the Coulomb interaction. A similar correction has been applied to the two-,center integral by Pariser and Parr~ with the polynomial interpolation formula or with-. a form suggested by Nishimoto and Matag

Molecular Orbital Treatment of HF and HF2 by CND0/2 and INDO

By the development of all electrons semiempirical SCF method it became possible to study in a unique way the changes in electron configuration with the formation of the hydrogen bond. We believe that it is worth making detail calculation using very advanced semiempirical method1 on molecules where the comparison can be made with ab-initio calculation. We made such a calculation on HF and HF2 ion

Half-widths of the Infrared Bands in Polyethylene

There are a few papers1 treating the temperature dependence of the half- width of IR bands of polymers. The importance of such an experimental work lies in the fact that it is possible to infer from it the mechanism that causes the broadening of the IR bands. The aim of this work is, to report the temperature dependence study of the half-widths of IR bands of polyethylene. The following bands were studied: at 2016 cm-1 (combination band2), at 1080 cm-1 (vibration due to the amorphous polyethylene3) and at 908 cm-1 (vibration of the vinyl end-group3)

Interaction and flocculation of spherical colloids wetted by a surface-induced corona of paranematic order

Particles dispersed in a liquid crystal above the nematic-isotropic phase transition are wetted by a surface-induced corona of paranematic order. Such coronas give rise to pronounced two-particle interactions. In this article, we report details on the analytical and numerical study of these interactions published recently [Phys. Rev. Lett. 86, 3915 (2001)]. We especially demonstrate how for large particle separations the asymptotic form of a Yukawa potential arises. We show that the Yukawa potential is a surprisingly good description for the two-particle interactions down to distances of the order of the nematic coherence length. Based on this fact, we extend earlier studies on a temperature induced flocculation transition in electrostatically stabilized colloidal dispersions [Phys. Rev. E 61, 2831 (2000)]. We employ the Yukawa potential to establish a flocculation diagram for a much larger range of the electrostatic parameters, namely the surface charge density and the Debye screening length. As a new feature, a kinetically stabilized dispersion close to the nematic-isotropic phase transition is found.Comment: Revtex v4.0, 16 pages, 12 Postscript figures. Accepted for publication in Phys. Rev.

Molecular Orbital Treatment of HF and HF2 by CND0/2 and INDO

By the development of all electrons semiempirical SCF method it became possible to study in a unique way the changes in electron configuration with the formation of the hydrogen bond. We believe that it is worth making detail calculation using very advanced semiempirical method1 on molecules where the comparison can be made with ab-initio calculation. We made such a calculation on HF and HF2 ion

Half-widths of the Infrared Bands in Polyethylene

There are a few papers1 treating the temperature dependence of the half- width of IR bands of polymers. The importance of such an experimental work lies in the fact that it is possible to infer from it the mechanism that causes the broadening of the IR bands. The aim of this work is, to report the temperature dependence study of the half-widths of IR bands of polyethylene. The following bands were studied: at 2016 cm-1 (combination band2), at 1080 cm-1 (vibration due to the amorphous polyethylene3) and at 908 cm-1 (vibration of the vinyl end-group3)

Defect structures and torque on an elongated colloidal particle immersed in a liquid crystal host

Combining molecular dynamics and Monte Carlo simulation we study defect structures around an elongated colloidal particle embedded in a nematic liquid crystal host. By studying nematic ordering near the particle and the disclination core region we are able to examine the defect core structure and the difference between two simulation techniques. In addition, we also study the torque on a particle tilted with respect to the director, and modification of this torque when the particle is close to the cell wall

Nematic-Wetted Colloids in the Isotropic Phase: Pairwise Interaction, Biaxiality and Defects

We calculate the interaction between two spherical colloidal particles embedded in the isotropic phase of a nematogenic liquid. The surface of the particles induces wetting nematic coronas that mediate an elastic interaction. In the weak wetting regime, we obtain exact results for the interaction energy and the texture, showing that defects and biaxiality arise, although they are not topologically required. We evidence rich behaviors, including the possibility of reversible colloidal aggregation and dispersion. Complex anisotropic self-assembled phases might be formed in dense suspensions.Comment: 4 pages, 6 figure