A proposed experimental method to determine $\alpha$-sensitivity of splitting between ground and 7.6 eV isomeric states in Th-229

Abstract

The 7.6 eV electromagnetic transition between the nearly degenerate ground state and first excited state in the Th-229 nucleus may be very sensitive to potential changes in the fine-structure constant, $\alpha =e^2/\hslash c$. However, the sensitivity is not known, and nuclear calculations are currently unable to determine it. We propose measurements of the differences of atomic transition frequencies between thorium atoms (or ions) with the nucleus in the ground state and in the first excited (isomeric) state. This will enable extraction of the change in nuclear charge radius and electric quadrupole moment between the isomers, and hence the $\alpha$-dependence of the isomeric transition frequency with reasonable accuracy.

More details, some changes to notation

References in corpus (5)

• Enhanced effect of temporal variation of the fine structure constant in diatomic molecules
• Enhanced effect of quark mass variation in 229Th and limits from Oklo data
• Sensitivity of Nuclear Transition Frequencies to Temporal Variation of the Fine Structure Constant or the Strong Interaction
• Splitting Sensitivity of the Ground and 7.6 eV Isomeric States of 229Th
• Coulomb energy contribution to the excitation energy in ${}^{229}$Th and enhanced effect of $\alpha$ variation

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