Second-Order Quadrupole Effect for the Nuclear Hexadecapole Coupling in Ions

Abstract

In connection with the possible existence of a nuclear electric hexadecapole moment, and the resulting large induced hexadecapole moment for medium and heavy ions due to antishielding effects, expressions have been obtained for the additional induced hexadecapole moment, ${H_{\mathrm{ind}}}^Q$, due to the perturbation of the ion by the field of the nuclear quadrupole moment $Q$ taken in second order. ${H_{\mathrm{ind}}}^Q$ is proportional to $Q^2$. Numerical results for some of the terms of ${H_{\mathrm{ind}}}^Q$ are presented for the ${\mathrm{Cu}}^{+}$, ${\mathrm{Ag}}^{+}$, and ${\mathrm{Hg}}^{++}$ ions.