I. THEORY OF PARTICLES WITH ARBITRARY SPIN. II. PHOTOPRODUCTION OF Tm$sup 173$. Thesis

Thesis/Dissertation · Tue Jan 01 04:00:00 EST 1963

OSTI ID:4124110

Weaver, D L

A c-number theory for a single particle with mass m and arbitrary spin s is presented. The starting point of the theory is the unique rest system of the particle. ln the rest system the differential equations describing the time development of the particle are greatly simplified. To construct the theory in the laboratory system, it is assumed that the functions are symmetric spinors and applies the Lorentz transformation rules. By the extension of the notion of the Foldy-Wouthuysen transformation as the Lorentz transformation out of the rest system to arbitrary spin, the laboratory system Hamiltonians analogous to the spin onehalf Hamiltonian can be calculated. In addition the theory provides the plane wave solutions of the laboratory system wave equation as well as the transformation properties of the solutions with respect to the inhomogeneous proper Lorentz group, the reflections, and charge conjugation. The massless limit of the arbitrary spin theory is a 2s + 1- component spinor theory that contains the twocomponent neutrino and the photon as well as all higher spins. In connection with the massless limit it was found possible to write the integrals of the motion as a double integral on coordinates of the spinors and displacement operators. The radioactive nuclide Tm/sup 173/ was produced in an electron synchrotron by a ( gamma , P) reaction on Yb/sup 174/ Tm/sup 173/ was found to decay to Yb/sup 173/ by negatron emission with a half life of eight hours and with gamma rays of 50, energy levels in Yb/sup 173/ at 170 or 230, 400, and 450 kev are proposed. (TCO) The validity of the pure S-matrix approach to the theory of elementary particles was investigated by examining the rnathematical structure of some model theories. The relation of this approach to conventional Lagrangian field theories, and the effects of various approximations were examined. The exact solution was obtained in a twodimensional universe for a model in which only one kind of particle, a spinless boson, exists, and the scattering amplitudes are analytic functions of the momenta of the external particles with only those similarities required by unitarity and crossing symmetry. It was also assumed

• Research Organization: Originating Research Org. not identified
• NSA Number: NSA-18-004467
• OSTI ID: 4124110
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

DIFFERENTIAL EQUATIONS
ELECTRIC CHARGES
ELECTRONS
ELEMENTARY PARTICLES
ENERGY LEVELS
FIELD THEORY
FOLDY-WOUTHUYSEN TRANSFORM
GAMMA RADIATION
GROUP THEORY
HALF-LIFE
HAMILTONIAN
INTEGRALS
LORENTZ TRANSFORMATIONS
MASS
MATHEMATICS
MOTION
NEUTRINOS
NUMERICALS
PHOTONS
PHOTOPRODUCTION
PHYSICS
QUANTUM MECHANICS
RADIOACTIVITY
REFLECTION
RELATIVITY THEORY
SPIN
SYNCHROTRONS
THULIUM 173
VECTORS
YTTERBIUM 174