Effects of electrons on nuclear clock transition frequency in $^{229}$Th ions

Fuente: arXiv

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Bibliographic Details
Main Authors:	Dzuba, V. A., Flambaum, V. V.
Format:	Preprint
Published:	2023
Subjects:	Atomic Physics High Energy Physics - Phenomenology Nuclear Theory
Online Access:	Acceder al recurso
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_version_	1866910451879641088
author	Dzuba, V. A. Flambaum, V. V.
author_facet	Dzuba, V. A. Flambaum, V. V.
contents	We perform calculations of the energy shift of the nuclear clock transition frequency $^{229}$Th as a function of the number of electrons in Th ion. We demonstrate that the dependence of the nuclear frequency on electron configuration is significant. E.g., removing one electron from the atom leads to relative shift of the nuclear frequency $\sim 10^{-7}$, which is twelve orders of magnitude larger than expected relative uncertainty of the nuclear clock transition frequency ($\sim 10^{-19}$). This leads to difference of the nuclear clock frequencies in Th~IV, Th~III, Th~II and Th~I. The relative change of the nuclear frequency between neutral Th and its bare nucleus is 1\%. We also calculate the field shift constants for isotopic and isomeric shifts of atomic electron transitions in Th ions.
format	Preprint
id	arxiv_https___arxiv_org_abs_2309_11176
institution	arXiv
publishDate	2023
record_format	arxiv
spellingShingle	Effects of electrons on nuclear clock transition frequency in $^{229}$Th ions Dzuba, V. A. Flambaum, V. V. Atomic Physics High Energy Physics - Phenomenology Nuclear Theory We perform calculations of the energy shift of the nuclear clock transition frequency $^{229}$Th as a function of the number of electrons in Th ion. We demonstrate that the dependence of the nuclear frequency on electron configuration is significant. E.g., removing one electron from the atom leads to relative shift of the nuclear frequency $\sim 10^{-7}$, which is twelve orders of magnitude larger than expected relative uncertainty of the nuclear clock transition frequency ($\sim 10^{-19}$). This leads to difference of the nuclear clock frequencies in Th~IV, Th~III, Th~II and Th~I. The relative change of the nuclear frequency between neutral Th and its bare nucleus is 1\%. We also calculate the field shift constants for isotopic and isomeric shifts of atomic electron transitions in Th ions.
title	Effects of electrons on nuclear clock transition frequency in $^{229}$Th ions
topic	Atomic Physics High Energy Physics - Phenomenology Nuclear Theory
url	https://arxiv.org/abs/2309.11176