Electric quadrupole moment of the $5d^2{D}_{3/2}$ state in ${}^{171}Y{b}^{+}$ : A relativistic coupled-cluster analysis

Abstract

The electric quadrupole moment for the $5d^2{D}_{3/2}$ state of ${}^{171}\mathrm{Y}{\mathrm{b}}^{+}$, has been calculated using the relativistic coupled-cluster method. Earlier a similar calculation was performed for the 4d ${}^2{D}_{5/2}$ state of ${}^{88}\mathrm{S}{\mathrm{r}}^{+}$ which is the most accurate determination to date {[}PRL, \textbf{96}, 193001 (2006)]. The present calculation of the electric quadrupole moment of ${}^{171}\mathrm{Y}{\mathrm{b}}^{+}$ yielded a value $2.157e{a}_0^2$ where the experimental value is $2.08(11)e{a}_0^2$; $a_0$ is the Bohr radius and $e$ the elementary charge. We discuss in this paper our results in detail for ${}^{171}{\mathrm{Yb}}^{+}$ and highlight the dominant correlation effects present. We have presented the effect of inner core excitations and their contribution to the electric quadrupole moment, which is a property sensitive to regions away from the nucleus.

5 pages, 1 figure. Accepted in Phys.Rev.A

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