Regular Series


Vol. 11 (1980), No. 5, pp. 345 – 410


On the Meaning of the Metric Hypothesis in the Nonsymmetric Unified Field Theory

abstract

The meaning and geometrical significance of the method whereby a metric can be identified in the nonsymmetric unified field theory is investigated especially in relation to the setting up of a spinor analysis. It is shown that there is a close relation between the latter and the metric hypothesis adopted. A possible connection between the nonsymmetric theory and quantum electrodynamics is then obtained.


D\(_5\) Group in Weinberg–Salam Model

abstract

A simple model with four quark flavours is presented. This model is based on the gauge group SU(2)\(_{\rm L} \times \) U(1) supplemented by a discrete group D\(_5\) permitting two values for the Cabibbo angle, both approximately equal to \(\vartheta _{\rm C}\approx \sqrt {\frac {m_{\rm d}}{m_{\rm s}}}\).


On the Lagrangian Formulation of the Field Theory

abstract

It’s possible to transform the Euler–Lagrange equations in such a way that the transformed equations do not follow from a variational principle. In this work transformations which preserve the variational nature of field equations are considered. In particular behaviour of conservation laws under such transformations is found. The results are applied. to a relativistic gravitation theory in space-time with curvature and torsion.


Some Remarks on the Disintegration of Highly Excited Ag and Br Nuclei Observed in Photographic Emulsion in View of the Quark Model

abstract

The angular distribution of the tracks of the particles emitted from highly excited Ag and Br nuclei after the cascade are consistent with isotropy, in disfavour of the hypothesis of fission preceding some subsequent disintegration by isotropic single particle emission. If it is assumed that the highly excited nucleus behaves as a gas of quarks which are confined within the Ag(Br) nucleus, the confinement may possibly cause delays between the subsequent emissions of particles in favour of thermodynamical equilibrium. Some comments are given on the mass of a quark in the nucleus and on the energy distribution of the particles emitted from these excited nuclei.


Relativistic Three-Body Equation for One Dirac and Two Klein-Gordon Particles

abstract

A new relativistic three-body wave equation is derived for a system of one Dirac and two Klein–Gordon particles interacting through a potential. The original motivation for considering such an equation came from a preon model of leptons and quarks, where it was conjectured that \(v_{\rm e} = \delta \bar \chi \), \({\rm e} = \delta \chi \chi \) and \({\rm u} = \bar \delta \bar \chi \), d = \(\bar \delta \chi \chi \), the preons \(\delta \) and \(\chi \) being colour triplets of spin \(\frac {1}{2}\) and 0, respectively, and of equal charge \(-\frac {1}{3}\).


A Study of the \(^{144}\)Nd(d,p)\(^{145}\)Nd and \(^{146}\)Nd(d,t)\(^{145}\)Nd Reactions

abstract

Energy levels of the \(^{145}\)Nd nucleus were studied using the \(^{144}\)Nd(d,p) \(^{145}\)Nd and \(^{146}\)Nd(d,t) \(^{145}\)Nd reactions at a bombarding energy of 12.1 MeV. The reaction products. were observed using a magnetic spectrograph and photographic plate recording. The spectroscopic factors for the levels observed were obtained from DWBA calculations.


On the Formfactor of the Imaginary Part and Its Coupling to the Real Optical Potential for the \(\alpha \)-Nucleus Scattering

abstract

The model-independent formfactor of the absorptive cc-nucleus potential was calculated and compared with model dependent ones. The coupling between the shapes of the real and imaginary potential is discussed.


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