High-precision measurement and ab initio calculation of the $(6{s}^{2}6{p}^{2}) {}^{3}{P}_{0}{\ensuremath{\rightarrow}}^{3}{P}_{2}$ electric-quadrupole-transition amplitude in $^{208}\mathrm{Pb}$

High-precision measurement and ab initio calculation of the $(6 s^{2} 6 p^{2})^{3} P_{0} \to^{3} P_{2}$ electric-quadrupole-transition amplitude in ${}^{208}{Pb}$

Daniel L. Maser, Eli Hoenig, B.-Y. Wang, P. M. Rupasinghe, S. G. Porsev, M. S. Safronova, and P. K. Majumder

Phys. Rev. A 100, 052506 – Published 18 November 2019

Abstract

We have completed a measurement of the $(6 s^{2} 6 p^{2}) {}^{3}P_{0} \to {}^{3}P_{2}$ 939 nm electric quadrupole ( $E 2$ ) transition amplitude in atomic lead. Using a Faraday rotation spectroscopy technique and a sensitive polarimeter, we have measured this very weak $E 2$ transition, and determined its amplitude to be $〈 {}^{3}P_{2} | | Q | | {}^{3}P_{0} 〉 = 8.91 (9)$ a.u. We also present an ab initio theoretical calculation of this matrix element, determining its value to be 8.86(5) a.u., which is in excellent agreement with the experimental result. We heat a quartz vapor cell containing ${}^{208}{Pb}$ to between 800 and $940^{\circ} C$ , apply a $\sim 10 G$ longitudinal magnetic field, and use polarization modulation and lock-in detection to measure optical rotation amplitudes of order 1 mrad with noise near $1 μ rad$ . We compare the Faraday rotation amplitude of the $E 2$ transition to that of the ${}^{3}P_{0} - {}^{3}P_{1}$ 1279 nm magnetic dipole ( $M 1$ ) transition under identical sample conditions.

Received 21 September 2019

DOI:https://doi.org/10.1103/PhysRevA.100.052506

Physics Subject Headings (PhySH)

Electronic structure of atoms & molecules Electronic transitions Faraday effect Zeeman effect

Atomic, Molecular & Optical

Authors & Affiliations

Daniel L. Maser ^1,2, Eli Hoenig^1,*, B.-Y. Wang^1,†, P. M. Rupasinghe^1,‡, S. G. Porsev ^3,4, M. S. Safronova^3,5, and P. K. Majumder ^1,§

¹Department of Physics, Williams College, Williamstown, Massachusetts 01267, USA
²Department of Physics, Astronomy, and Geophysics, Connecticut College, New London, Connecticut 06320, USA
³Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA
⁴Petersburg Nuclear Physics Institute of NRC “Kurchatov Institute,” Gatchina, Leningrad District 188300, Russia
⁵Joint Quantum Institute, National Institute of Standards and Technology and the University of Maryland, Gaithersburg, Maryland 20742, USA

^*Present address: Department of Physics, University of Chicago, Chicago, Illinois 60637, USA.
^†Present address: Department of Physics, Stanford University, Stanford, California 94305, USA.
^‡Present address: Department of Physics, SUNY Oswego, Oswego, New York 13126, USA.
^§[email protected]

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Vol. 100, Iss. 5 — November 2019

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Physical Review A

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High-precision measurement and ab initio calculation of the $(6 s^{2} 6 p^{2})^{3} P_{0} \to^{3} P_{2}$ electric-quadrupole-transition amplitude in ${}^{208}{Pb}$

Daniel L. Maser, Eli Hoenig, B.-Y. Wang, P. M. Rupasinghe, S. G. Porsev, M. S. Safronova, and P. K. Majumder

Phys. Rev. A 100, 052506 – Published 18 November 2019

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Physical Review A

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High-precision measurement and ab initio calculation of the (6s26p2) 3P0→3P2 electric-quadrupole-transition amplitude in Pb208

Daniel L. Maser, Eli Hoenig, B.-Y. Wang, P. M. Rupasinghe, S. G. Porsev, M. S. Safronova, and P. K. Majumder

Phys. Rev. A 100, 052506 – Published 18 November 2019

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High-precision measurement and ab initio calculation of the $(6 s^{2} 6 p^{2})^{3} P_{0} \to^{3} P_{2}$ electric-quadrupole-transition amplitude in ${}^{208}{Pb}$