Strangeness changing baryon nonconservation in nonsupersymmetric theories

It is pointed out that a nonsupersymmetric standard SU(3)_c × SU(2)_L × U(1)_Y model including an SU(3)_H horizontal symmetry can explain strangeness nonconservation in proton decay. An operator analysis is carried out under very general assumptions, with certain Higgs fields present, to show that $\text{p}\text{→}\text{v}\text{K}{}^{\mathrm{+}}\text{,}\text{v}\text{K}{}^0\text{K}{}^{\mathrm{+}}$, etc., strangeness changing decay modes are allowed while $\text{p}\text{→}\text{e}{}^{\mathrm{+}}\text{π}{}^0\text{,}\text{v}\text{π}{}^{\mathrm{+}}$, etc., modes are suppressed to the lowest order in this model.     

A complete analogue of Hardy’s theorem on SL2(ℝ) and characterization of the heat kernel

A theorem of Hardy characterizes the Gauss kernel (heat kernel of the Laplacian) on ℝ from estimates on the function and its Fourier transform. In this article we establisha full group version of the theorem for SL₂(ℝ) which can accommodate functions with arbitraryK-types. We also consider the ‘heat equation’ of the Casimir operator, which plays the role of the Laplacian for the group. We show that despite the structural difference of the Casimir with the Laplacian on ℝⁿ or the Laplace—Beltrami operator on the Riemannian symmetric spaces, it is possible to have a heat kernel. This heat kernel for the full group can also be characterized by Hardy-like estimates.     

Heat transfer during melting in rectangular enclosures—a finite element analysis

This paper is devoted to the finite element analysis of heat transfer during melting in rectangular enclosures. The effects of aspect ratio and subcooling on the motion of the interface and the Nusselt number have been investigated. The different schemes employed in the present work throw useful light on the choice of the appropriate method for dealing with such phase change problems.     

Carbon-13 NMR spectra of Piper alkamides and related compounds

¹³C NMR spectra of Piper alkamides and related compounds have been completely assigned on the basis of splitting patterns in the coupled spectra, application of additivity relationships and internal comparison of chemical shifts.     

Synthesis of gaussian beam excited rectangular dielectric guide modes by ray theory

In the present paper, ray analysis of the wave propagation has been used to evaluate the excitation of a linear dielectric guide by a gaussian beam. The paper begins by determining the Green's function of the structure and also evaluates the excitation by gaussian beam therefrom, following Falsen and Shin [1].     

Saturating chiral field theory for the study of nuclear matter in the relativistic Hartree approximation

The bulk properties of nuclear matter are studied by considering a chirally invariant lagrangian which contains an interaction term involving scalar and vector mesons, of the form (apart from a numerical factor) used by Boguta. The calculation is performed in the relativistic Hartree approximation which includes the baryon vacuum fluctuation correction.     

Off-shell t-matrix for an exponential potential with non-local core interaction

The wave function approach of Van Leeuwen and Reiner to the t-matrix is generalized to the case of a non-local potential. The transition matrix element for this potential is obtained. The results are used to compute the s-wave part of the t-matrix for a non-local square well potential combined with an outside exponential potential.     

Dieckmann cyclisation of some β,γ-unsaturated dimethyl esters—II

Further studies of Dieckmann cyclisation are described based on unsaturated heptanedioic acid diesters 1 and 9.