Influence of a Combined Magnetic Dipole and Electric Quadrupole Interaction on Angular Correlations

Abstract

The general theory of perturbed angular correlations has been applied to the special case of a static combined magnetic dipole and electric quadrupole interaction of comparable strength. Particular emphasis is given to the important case of an external magnetic field applied to a source with randomly oriented electrostatic gradients (polycrystalline source). Expressions for the differential and integral attenuation factors are derived as a function of the ratio $y=\frac{{\omega }_H}{{\omega }_E}$ of the magnetic (${\omega }_H$) and the electric interaction frequencies (${\omega }_E$), and for several values of the electric interaction parameter $x={\omega }_{E}t$ and $x={\omega }_E\tau$, respectively. Numerical values for the attenuation factors are computed for the spins 1, 3/2, 2, and 5/2 for 30 values of $y$ and 24 values of the parameter $x$. The results are displayed in form of representative curves. As an example of the application of the general results, angular correlation functions are calculated for the two cases of a magnetic field perpendicular to the detector plane and parallel to the emission direction of one of the observed nuclear radiations.