arXiv:1301.6402

Hyperfine structure of the $2^3S-$state in the ${}^9$Be atom

Alexei M. Frolov, María Belén Ruiz

Published Jan 27, 2013• 0 citations

Abstract

A number of bound states properties and the hyperfine structure of the 23S(L=0)-state in the Be atom are determined from the results of highly accurate computations. The energies of the hyperfine structure levels for this state are ε(F=12) = -13725.635(7) MHz, ε(F=32) = -5490.254(7) MHz and ε(F=52) = 8235.381(7) MHz, respectively. The hyperfine structure splittings are Δ12 = 8235.381(7) MHz and Δ23 = 13725.635(7) MHz, respectively. The spectrum of low-lying (bound) triplet states in the Be atom is briefly investigated.

DOI: 10.48550/arxiv.1301.6402

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arXiv:1301.6402

Hyperfine structure of the $2^3S-$ state in the ${}^9$ Be atomHyperfine structure of the $2^3S-$state in the ${}^9$Be atom

Alexei M. Frolov, María Belén Ruiz

Published Jan 27, 2013• 0 citations

arXiv HTML PDF

Abstract

DOI: 10.48550/arxiv.1301.6402

Related papers

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Hyperfine structure of the

2^3S-

state in the

{}^9

Be atom

The bound state spectrum of the low-lying triplet states in the Be atom is investigated. In particular, we perform accurate computations of the bound triplet

S

P

D

F

and

G

states in the four-electron Be atom. The results of these calculations are employed to draw the spectral diagram which contains the energy levels of the triplet states of Be atom. Based on our computational results we can observe transitions from the low-lying bound states to the weakly-bound, Rydberg states. For the

2^3S

and

3^3S

states in the Be atom we also determine a number of bound states properties and discuss the hyperfine structure by using our results of highly accurate computations.

We perform accurate calculations of energy levels as well as fine and hyperfine splittings of the lowest

^{1,3}P_{J}, ^{3}S_{1}, ^{3}P_{J}^{e}

, and

^{1,3}D_{J}

excited states of the

^{9}\mathrm{Be}

atom using explicitly correlated Gaussian functions, and we report on the breakdown of the standard hyperfine structure theory. Because of the strong hyperfine mixing, which prevents the use of common hyperfine constants, we formulate a description of the fine and hyperfine structure that is valid for an arbitrary coupling strength and may have wide applications in many other atomic systems.

A combined experimental and theoretical spectroscopic study of high-$n, 30\ensuremath{\lesssim}n\ensuremath{\lesssim}100$, triplet

S

and

D

Rydberg states in

^{87}\mathrm{Sr}

is presented.

^{87}\mathrm{Sr}

has a large nuclear spin

I=9/2

, and at high-

n

the hyperfine interaction becomes comparable to, or even larger than, the fine structure and singlet-triplet splittings, which poses a considerable challenge both for precision spectroscopy and for theory. For high-

n S

states, the hyperfine shifts are evaluated nonperturbatively, taking advantage of earlier spectroscopic data for the

I=0

isotope

^{88}\mathrm{Sr}

, which results in good agreement with the present measurements. For the

D

states, this procedure is reversed by first extracting from the present

^{87}\mathrm{Sr}

measurements the energies of the

{}^{3}{D}_{1,2,3}

states to be expected for isotopes without hyperfine structure (

^{88}\mathrm{Sr}

), which allows the determination of corrected quantum defects in the high-

n

limit.

Precision measurements of Rydberg Stark levels of

^{7}\mathrm{Li}

atoms are used to determine the 3

^{2}

S hyperfine separation, \ensuremath{\Delta}

{\mathit{E}}_{\mathit{h}\mathit{f}}

^{2}

S). Three diode lasers at \ensuremath{\lambda}=671 nm, 813 nm, and 633 nm excite

^{7}\mathrm{Li}

atoms to n=15 sublevels in the presence of an electric field. Photoionization resonances at fields below the saddle point are used in conjunction with matrix diagonalization calculations to determine the binding energy of levels excited from each 3

^{2}

S hyperfine sublevel. The difference between the two fitted binding energies excited from 3

^{2}

S (F=1) and 3

^{2}

S (F=2) yields 189.36(43) MHz for \ensuremath{\Delta}

{\mathit{E}}_{\mathit{h}\mathit{f}}

^{2}

{;}^{7}

Li).