Physical Review A

Analysis of a level-crossing experiment on the 2 P3 state of He3

E. A. Hinds, John D. Prestage, Francis M. J. Pichanick

Published Jan 1, 1986• 5 citations

Abstract

We have used the theory presented by us in a recent paper to analyze a 1967 level-crossing experiment on the 2 $^{3}P$ state of $^{3}\mathrm{He}$ performed at the University of Michigan. Until now a consistent analysis of the experiment had not been possible because of inadequate development of the theory. The present analysis gives excellent agreement with the results of an atomic beam magnetic resonance experiment performed recently by us at Yale University. In fact we have used the combined data to give slightly improved results for four of the 11 relevant parameters. These four are the spin-antisymmetric contact hyperfine interaction constant [C'=-4327(69) MHz)], the 2 $^{3}P$ dipole hyperfine interaction constant [D=-28.145(21) MHz], the 2 $^{3}P$ tensor hyperfine interaction constant [E=-7.1353(38) MHz], and the orbital g factor [${g}_{L}$=0.999 828 6(20)]. .AE

DOI: 10.1103/physreva.33.68

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MEASUREMENT OF POPULATION TRANSFER BETWEEN THE TWO HYPERFINE LEVELS OF THE 6$sup 3$P$sub 1$ STATE OF $sup 199$Hg UNDER THE EFFECTS OF COLLISIONS BETWEEN HELIUM ATOMS

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Physical Review A

Analysis of a level-crossing experiment on the 2 P3 state of He3

E. A. Hinds, John D. Prestage, Francis M. J. Pichanick

Published Jan 1, 1986• 5 citations

Publisher

Abstract

We have used the theory presented by us in a recent paper to analyze a 1967 level-crossing experiment on the 2

^{3}P

state of

^{3}\mathrm{He}

performed at the University of Michigan. Until now a consistent analysis of the experiment had not been possible because of inadequate development of the theory. The present analysis gives excellent agreement with the results of an atomic beam magnetic resonance experiment performed recently by us at Yale University. In fact we have used the combined data to give slightly improved results for four of the 11 relevant parameters. These four are the spin-antisymmetric contact hyperfine interaction constant [C'=-4327(69) MHz)], the 2

^{3}P

dipole hyperfine interaction constant [D=-28.145(21) MHz], the 2

^{3}P

tensor hyperfine interaction constant [E=-7.1353(38) MHz], and the orbital g factor [

{g}_{L}

=0.999 828 6(20)]. .AE

DOI: 10.1103/physreva.33.68

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Precision spectroscopy of a trapped $^{173}$ Yb $^+$ ion using a bath of ultracold atomsPrecision spectroscopy of a trapped $^{173}$Yb$^+$ ion using a bath of ultracold atoms

Egor Kovlakov, Rene Gerritsma

We demonstrate precision laser spectroscopy of a trapped $^{173}$ Yb $^+$ ion that is not directly laser cooled by coupling it to ultracold atoms. The atomic bath continuously cools the internal degrees of freedom of the ion to its hyperfine ground state via spin-exchange collisions. Successful laser excitation is detected via state-selective charge transfer and subsequent ion loss. We probe the $6^2S_{1/2}\rightarrow 6^2P_{3/2}$ transition at 329 nm and measure the magnetic and electric hyperfine interaction constants for the $6^2P_{3/2}$ state to be $A=-241(1)$ MHz and $B=1460(8)$ MHz, respectively. Our results are in agreement with a previous measurement obtained in a hollow-cathode discharge experiment but are a factor of 6-9 more precise. The techniques demonstrated in this work may be extended to perform precision spectroscopy on other ions with complex level structures.We demonstrate precision laser spectroscopy of a trapped $^{173}$Yb$^+$ ion that is not directly laser cooled by coupling it to ultracold atoms. The atomic bath continuously cools the internal degrees of freedom of the ion to its hyperfine ground state via spin-exchange collisions. Successful laser excitation is detected via state-selective charge transfer and subsequent ion loss. We probe the $6^2S_{1/2}\rightarrow 6^2P_{3/2}$ transition at 329 nm and measure the magnetic and electric hyperfine interaction constants for the $6^2P_{3/2}$ state to be $A=-241(1)$ MHz and $B=1460(8)$ MHz, respectively. Our results are in agreement with a previous measurement obtained in a hollow-cathode discharge experiment but are a factor of 6-9 more precise. The techniques demonstrated in this work may be extended to perform precision spectroscopy on other ions with complex level structures.

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Hyperfine Interaction, Zeeman and Stark Effects for Excited States in Rubidium

G Belin, Lennarth Holmgren, Sune R. Svanberg

Highly excitedPandDstates in87Rb were examined using a two-step excitation procedure. A conventional rf lamp and a CW dye laser were used for the first and second step, respectively. The following results for the magnetic dipole interaction constanta, the electric quadrupole interaction constantb, the LandégJfactor, and the tensor polarizability α2were obtained in level-crossing and optical-double-resonance experiments: 92P3/2:a= 4.05(3) MHz,b=0.55(3) MHz,gJ= 1.3335(15) 102P3/2:a= 2.60(8) MHz,gJ= 1.3332(20) 82D3/2:a= 2.840(15) MHz,b= 0.17(2) MHz 82D5/2:a= -1.20(15) MHz,gJ= 1.1998(15) 92D3/2:a= 1.900(10) MHz,b= 0.11(3) MHz 92D5/2:a= (-)0.80(15) MHz,gJ= 1.1995(15), α2= 180.3(9.0) MHz/(kV/cm)2 Many-body calculations of the hyperfine structure of Rb have been performed. The polarization effect is included to all orders, whereas the correlation effect is omitted. The negativeafactors for the2D5/2states, indicating large perturbations, are explained by the polarization contribution. A review of experimental hyperfine interaction constants, LandégJfactors and tensor polarizabilities for rubidium is given together with theoretical values of theafactors. The quadrupole moment for87Rb is obtained from thebfactors for the2P3/2and2D3/2states, using quadrupole parameters from the many-body calculations. The correlation effect is included in a semi-empirical way.Highly excitedPandDstates in87Rb were examined using a two-step excitation procedure. A conventional rf lamp and a CW dye laser were used for the first and second step, respectively. The following results for the magnetic dipole interaction constanta, the electric quadrupole interaction constantb, the LandégJfactor, and the tensor polarizability α2were obtained in level-crossing and optical-double-resonance experiments: 92P3/2:a= 4.05(3) MHz,b=0.55(3) MHz,gJ= 1.3335(15) 102P3/2:a= 2.60(8) MHz,gJ= 1.3332(20) 82D3/2:a= 2.840(15) MHz,b= 0.17(2) MHz 82D5/2:a= -1.20(15) MHz,gJ= 1.1998(15) 92D3/2:a= 1.900(10) MHz,b= 0.11(3) MHz 92D5/2:a= (-)0.80(15) MHz,gJ= 1.1995(15), α2= 180.3(9.0) MHz/(kV/cm)2 Many-body calculations of the hyperfine structure of Rb have been performed. The polarization effect is included to all orders, whereas the correlation effect is omitted. The negativeafactors for the2D5/2states, indicating large perturbations, are explained by the polarization contribution. A review of experimental hyperfine interaction constants, LandégJfactors and tensor polarizabilities for rubidium is given together with theoretical values of theafactors. The quadrupole moment for87Rb is obtained from thebfactors for the2P3/2and2D3/2states, using quadrupole parameters from the many-body calculations. The correlation effect is included in a semi-empirical way.

Physica ScriptaJun 1, 197635 citations

Precision Hyperfine Structure of $2\;^3$ P State of $^3$ He with External MagneticPrecision Hyperfine Structure of $2\;^3$P State of $^3$He with External Magnetic

Qixue Wu, G. W. F. Drake

Bulletin of the American Physical SocietyJun 8, 20070 citations

We have used the theory presented by us in a recent paper to analyze a 1967 level-crossing experiment on the 2

^{3}P

state of

^{3}\mathrm{He}

^{3}P

dipole hyperfine interaction constant [D=-28.145(21) MHz], the 2

^{3}P

tensor hyperfine interaction constant [E=-7.1353(38) MHz], and the orbital g factor [

{g}_{L}

=0.999 828 6(20)]. .AE

Precision spectroscopy of a trapped

^{173}

^+

ion using a bath of ultracold atoms

We demonstrate precision laser spectroscopy of a trapped

^{173}

^+

ion that is not directly laser cooled by coupling it to ultracold atoms. The atomic bath continuously cools the internal degrees of freedom of the ion to its hyperfine ground state via spin-exchange collisions. Successful laser excitation is detected via state-selective charge transfer and subsequent ion loss. We probe the

6^2S_{1/2}\rightarrow 6^2P_{3/2}

transition at 329 nm and measure the magnetic and electric hyperfine interaction constants for the

6^2P_{3/2}

state to be

A=-241(1)

MHz and

B=1460(8)

MHz, respectively. Our results are in agreement with a previous measurement obtained in a hollow-cathode discharge experiment but are a factor of 6-9 more precise. The techniques demonstrated in this work may be extended to perform precision spectroscopy on other ions with complex level structures.

2S

state by electron bombardment. The $2S({m}_{J}=\ensuremath{-}\frac{1}{2})$ state is quenched in the bombardment region. The

2S({m}_{J}=+\frac{1}{2})

beam passes through a zero-field region where

\frac{1}{3}

of it is converted to the single hyperfine level ${\ensuremath{\beta}}_{B}$. The ${\ensuremath{\beta}}_{B}$ atoms enter a uniform magnetic field parallel to the beam. With no externally applied electric field, 92% of them reach the detector. When we apply an electrostatic field of about 0.7 V/cm perpendicular to the beam, the ${\ensuremath{\beta}}_{B}$ atoms are strongly quenched near the ${\ensuremath{\beta}}_{B}\ensuremath{-}{e}_{B}$ crossing point. Observed quenching agrees with the Bethe-Lamb theory of the

2S

lifetime in external fields. We measure magnetic field by the nuclear magnetic resonance frequency of protons in water. Natural asymmetry and minor experimental corrections reduce the observed center of the ${\ensuremath{\beta}}_{B}\ensuremath{-}{e}_{B}$ quenching resonance by 1 part in

{10}^{4}

. The corrected ${\ensuremath{\beta}}_{B}\ensuremath{-}{e}_{B}$ crossing occurs at 2577.57\ifmmode\pm\else\textpm\fi{}0.25 kc/sec, proton nmr in water. From this, we calculate the Lamb shift

\mathcal{S}

in H,

n=2

. With a diamagnetic shielding correction, and the accurately known

2S

hyperfine interval, we get $\mathcal{S}=1058.07\ifmmode\pm\else\textpm\fi{}0.10$ Mc/sec. This disagrees with $\mathcal{S}=1057.77\ifmmode\pm\else\textpm\fi{}0.10$ Mc/sec from the Lamb experiments.

MEASUREMENT OF POPULATION TRANSFER BETWEEN THE TWO HYPERFINE LEVELS OF THE 6

sup 3

sub 1

STATE OF

sup 199

Hg UNDER THE EFFECTS OF COLLISIONS BETWEEN HELIUM ATOMS

Precision Hyperfine Structure of

2\;^3

P State of

^3

He with External Magnetic