Lifetimes of the Metastable $6\mathrm{d}\, ^{2}\mathrm{D}_{5/2}$ and $6\mathrm{d}\, ^{2}\mathrm{D}_{3/2}$ States of Ra$^+$

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Main Authors: Li, Haoran, Dan, Huaxu, Fan, Mingyu, Kofford, Spencer, Kwapisz, Robert, Ready, Roy A., Sawhney, Akshay, Brzeczek, Merrell, Holliman, Craig, Jayich, Andrew M., Porsev, S. G., Safronova, M. S.
Format: Preprint
Published: 2025
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author Li, Haoran
Dan, Huaxu
Fan, Mingyu
Kofford, Spencer
Kwapisz, Robert
Ready, Roy A.
Sawhney, Akshay
Brzeczek, Merrell
Holliman, Craig
Jayich, Andrew M.
Porsev, S. G.
Safronova, M. S.
author_facet Li, Haoran
Dan, Huaxu
Fan, Mingyu
Kofford, Spencer
Kwapisz, Robert
Ready, Roy A.
Sawhney, Akshay
Brzeczek, Merrell
Holliman, Craig
Jayich, Andrew M.
Porsev, S. G.
Safronova, M. S.
contents We report lifetime measurements of the metastable $6\mathrm{d}\, ^{2}\mathrm{D}_{5/2}$ and $6\mathrm{d}\, ^{2}\mathrm{D}_{3/2}$ states of Ra$^+$. The measured lifetimes, $τ_{5} = $ 303.8(1.5) ms and $τ_{3} = $ 642(9) ms, are important for optical frequency standards and for benchmarking high-precision relativistic atomic theory. Independent of the reported measurements, the D state lifetimes were calculated using the coupled-cluster single double triple method, in which the coupled-cluster equations for both core and valence triple excitations were solved iteratively. The method was designed for precise prediction of atomic properties, especially for heavy elements, where relativistic and correlation corrections become large, making their treatment more challenging. This Letter presents the first tests of the method for transition properties. Our prediction agrees with experimental values within the uncertainties. The ability to accurately predict the atomic properties of heavy elements is important for many applications, from tests of fundamental symmetries to the development of optical clocks.
format Preprint
id arxiv_https___arxiv_org_abs_2501_18866
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Lifetimes of the Metastable $6\mathrm{d}\, ^{2}\mathrm{D}_{5/2}$ and $6\mathrm{d}\, ^{2}\mathrm{D}_{3/2}$ States of Ra$^+$
Li, Haoran
Dan, Huaxu
Fan, Mingyu
Kofford, Spencer
Kwapisz, Robert
Ready, Roy A.
Sawhney, Akshay
Brzeczek, Merrell
Holliman, Craig
Jayich, Andrew M.
Porsev, S. G.
Safronova, M. S.
Atomic Physics
We report lifetime measurements of the metastable $6\mathrm{d}\, ^{2}\mathrm{D}_{5/2}$ and $6\mathrm{d}\, ^{2}\mathrm{D}_{3/2}$ states of Ra$^+$. The measured lifetimes, $τ_{5} = $ 303.8(1.5) ms and $τ_{3} = $ 642(9) ms, are important for optical frequency standards and for benchmarking high-precision relativistic atomic theory. Independent of the reported measurements, the D state lifetimes were calculated using the coupled-cluster single double triple method, in which the coupled-cluster equations for both core and valence triple excitations were solved iteratively. The method was designed for precise prediction of atomic properties, especially for heavy elements, where relativistic and correlation corrections become large, making their treatment more challenging. This Letter presents the first tests of the method for transition properties. Our prediction agrees with experimental values within the uncertainties. The ability to accurately predict the atomic properties of heavy elements is important for many applications, from tests of fundamental symmetries to the development of optical clocks.
title Lifetimes of the Metastable $6\mathrm{d}\, ^{2}\mathrm{D}_{5/2}$ and $6\mathrm{d}\, ^{2}\mathrm{D}_{3/2}$ States of Ra$^+$
topic Atomic Physics
url https://arxiv.org/abs/2501.18866