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arXiv · 0710.3660

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

K. V. P. Latha·C. Sur·R. K. chaudhuri·B. P. Das·D. Mukherjee
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Abstract

The electric quadrupole moment for the $5d^{2}D_{3/2}$ state of $\mathrm{^{171}Yb^{+}}$, has been calculated using the relativistic coupled-cluster method. Earlier a similar calculation was performed for the 4d $^2D_{5/2}$ state of $\mathrm{^{88}Sr^{+}}$ which is the most accurate determination to date {[}PRL, \textbf{96}, 193001 (2006)]. The present calculation of the electric quadrupole moment of $\mathrm{^{171}Yb^{+}}$ yielded a value $2.157 ea_{0}^{2}$ where the experimental value is $2.08(11)ea_{0}^{2}$; $a_{0}$ is the Bohr radius and $e$ the elementary charge. We discuss in this paper our results in detail for $^{171}{\rm Yb}^{+}$ 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.

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K. V. P. Latha, C. Sur, R. K. chaudhuri, B. P. Das, D. Mukherjee. 2007-10-19. Electric quadrupole moment of the $5d^2 D_{3/2}$ state in $^{171}Yb^+$ : A relativistic coupled-cluster analysis. https://doi.org/10.1103/physreva.76.062508

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