Hyperfine structure splitting of the positron-helium ions $e^{+}[$He$(2^3S)]$

Alexei M. Frolov

Published Aug 20, 2012• 0 citations

Abstract

The hyperfine structure splittings are determined for the lowest bound state in the positron-helium ion $e^{+}[^3$He$(2^3S)]$ and $e^{+}[^4$He$(2^3S)]$. In particular, we have fond that for the $e^{+}[{}^3$He$(2^3S)]$ ion one can observe the three following hyperfine structure splittinings: 5824.3986 $MHz$, 76466.5308 $MHz$ and 5824.4019 $MHz$. In the $e^{+}[{}^4$He$(2^3S)]$ ion only one hyperfine structure splitting 82963.0427 $MHz$ can be observed. All these values can be measured in modern experiments.

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Hyperfine structure splitting of the positron-helium ions e +[3He(23 S)] and e +[4He(23 S)]

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The hyperfine structure splittings are determined for the lowest bound state in the positron-helium ion e +[3He(23 S)] and e +[4He(23 S)]. In particular, it has been found that the three hyperfine structure splittings—5824.3986, 76 466.5308, and 5824.4019 MHz—can be observed for the e +[3He(23 S)] ion. In the e +[4He(23 S)] ion, only one hyperfine structure splitting 82963.0427 MHz can be observed. All these values can be measured in modern experiments.

arXiv:1208.4121Journal of Experimental and Theoretical Physics LettersDec 1, 20121 citation

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Hyperfine structure splitting of the positron-helium ions $e^{+}[$ He $(2^3S)]$ Hyperfine structure splitting of the positron-helium ions $e^{+}[$He$(2^3S)]$

Alexei M. Frolov

Published Aug 20, 2012• 0 citations

OpenAlex

Abstract

The hyperfine structure splittings are determined for the lowest bound state in the positron-helium ion

e^{+}[^3

(2^3S)]

and

e^{+}[^4

(2^3S)]

. In particular, we have fond that for the

e^{+}[{}^3

(2^3S)]

ion one can observe the three following hyperfine structure splittinings: 5824.3986

MHz

, 76466.5308

MHz

and 5824.4019

MHz

. In the

e^{+}[{}^4

(2^3S)]

ion only one hyperfine structure splitting 82963.0427

MHz

can be observed. All these values can be measured in modern experiments.

Related papers

Hyperfine structure splitting of the positron-helium ions e +[3He(23 S)] and e +[4He(23 S)]

A. M. Frolov

arXiv:1208.4121Journal of Experimental and Theoretical Physics LettersDec 1, 20121 citation

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Alexei M. Frolov

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Alexei M. Frolov

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Kei Imamura, T. Furukawa, X. F. Yang +10 more

Bulletin of the American Physical SocietyOct 8, 20140 citations

Hyperfine structure splitting of the positron-helium ions

e^{+}[

(2^3S)]

The hyperfine structure splittings are determined for the lowest bound state in the positron-helium ion

e^{+}[^3

(2^3S)]

and

e^{+}[^4

(2^3S)]

. In particular, we have fond that for the

e^{+}[{}^3

(2^3S)]

ion one can observe the three following hyperfine structure splittinings: 5824.3986

MHz

, 76466.5308

MHz

and 5824.4019

MHz

. In the

e^{+}[{}^4

(2^3S)]

ion only one hyperfine structure splitting 82963.0427

MHz

can be observed. All these values can be measured in modern experiments.

Bound state properties, positron annihilation and hyperfine structure splittings in the four-body positron-helium

e^{+} [^{3}

He(

2^{3}S_e

)] and

e^{+} [^{4}

He(

2^{3}S_e

)] ions

The $({e}^{\ensuremath{-}},{e}^{+})$-pair annihilation is considered in the positron-helium

{e}^{+}[\mathrm{He}(2\phantom{\rule{0.2em}{0ex}}^{3}S)]

four-body ion, in which the positron forms a bound state with the helium atom in its lowest triplet state [i.e., in the

2\phantom{\rule{0.2em}{0ex}}^{3}S\phantom{\rule{0.3em}{0ex}}(L=0)

state]. A number of bound-state properties of this system have been determined for the

{e}^{+}[\mathrm{He}(2\phantom{\rule{0.2em}{0ex}}^{3}S)]

ions, where the $^{\ensuremath{\infty}}\mathrm{He}$,

^{4}\mathrm{He}

, and

^{3}\mathrm{He}

helium nuclei are considered. Some applications related to the positron annihilation in the

{e}^{+}[\mathrm{He}(2\phantom{\rule{0.2em}{0ex}}^{3}S)]

ion are also discussed.

Hyperfine structure of the

2^3S-

state in the

{}^9

Be atom

Hyperfine structure measurement of

^{87}

Rb atoms injected into superfluid helium as highly energetic ion beam