Terms Of Angular Momentum Research Articles

Angular Distribution of -Radiation Following a Deuteron Stripping Reaction

The angular distribution of γ-radiation from a deuteron stripping reaction is given as a Legendre series W(θ) = ΣνAνPν (cos θ). The coefficients are given in terms of the total angular momentum (orbital plus spin) of the captured nucleon and fully tabulated. Analysis of observed distributions can then test j-j shell model assumptions. Cascades are discussed and a general theorem for the angular distribution of the nth radiation of a cascade is stated in an Appendix. Formulae are given relating the parameters of this paper to those used in the channel spin formulation. Their values when the nuclei obey L-S coupling rules are also given. Some other applications of the theory are indicated and results of interest to experimentalists are summarized.

Centrifugal Distortion in Asymmetric Molecules. II. HDS

A perturbation method for relating the theory of centrifugal distortion in asymmetric top molecules to observed microwave Q branch, $a$ or $c$ type transitions, is presented. The formula for the distortion correction is expressed in terms of the total angular momentum, $J$, the symmetry axis momentum of the nearest symmetric top, $K$, and five distortion constants. The formula yields a satisfactory fit to the observed spectrum of HDS ($\ensuremath{\kappa}\ensuremath{\simeq}\ensuremath{-}0.5$). The electric dipole moment is determined as 1.02\ifmmode\pm\else\textpm\fi{}0.02 debye. The inertia defect and distortion constants are calculated. The effective structure for the HDS molecule so determined is in agreement with infrared determinations.

The Dependence of Nuclear Forces on Velocity

It is shown that the Majorana force may be considered as a special case of a neutron-proton interaction dependent on velocity and angular momentum. Any interaction of this more general form, which is non-Wignerian, and represents attraction, accounts for the saturation properties of nuclear binding in the same way as do the Heisenberg and Majorana potentials. An analysis of the binding in heavy nuclei in terms of angular momentum is given on the basis of the Fermi-Thomas statistical model. An illustration is given showing that the assumption of velocity dependent forces is also consistent with the properties of light nuclei: a particular form of interaction, containing two parameters, is found to give results much the same as those of the ordinary Majorana theory. Finally, the most general dependence of two-particle forces on spin, separation, and velocity, consistent with the conservation laws, is determined, and it is pointed out that experiments on the scattering of fast neutrons in hydrogen are capable of deciding between Majorana forces and a more general form of velocity dependence.