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

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.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.

Aug 20, 20120 citations

Positron annihilation in the positron-helium ion e+[He(2S3)]

Alexei M. Frolov

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.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.

Physical Review AMar 21, 200515 citations

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Sudha Swaminathan

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Cross-section for formation of the triplet positron-helium bound state

Joseph Di Rienzi, Richard J. Drachman

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Jason A. Young, Clifford M. Surko

Bulletin of the American Physical SocietyOct 19, 20050 citations

Bound States and Feshbach Resonances in Positron-Molecule Annihilation

Jason A. Young

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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

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.

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.