arXiv:1208.4121 · Journal of Experimental and Theoretical Physics Letters

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

A. M. Frolov

Published Dec 1, 2012• 1 citation

Abstract

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.

DOI: 10.1134/s002136401220009x

Related papers

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

Alexei M. Frolov

Aug 20, 20120 citations

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

Alexei M. Frolov

The European Physical Journal DApr 1, 20251 citation

Field shifts and lowest order QED corrections for the ground 1S1 and 2S3 states of the helium atoms

Alexei M. Frolov

The Journal of Chemical PhysicsMar 13, 200728 citations

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

Alexei M. Frolov

Physical Review AMar 21, 200515 citations

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

Alexei M. Frolov, María Belén Ruiz

arXiv:1301.6402Jan 27, 20130 citations

Hyperfine Structure of the 6P1/2

R. Alheit, X. Feng, G.Z. Li +2 more

Journal of Modern OpticsFeb 1, 19926 citations

arXiv:1208.4121 · Journal of Experimental and Theoretical Physics Letters

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

A. M. Frolov

Published Dec 1, 2012• 1 citation

arXiv HTML PDF

Abstract

DOI: 10.1134/s002136401220009x

Related papers

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

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( $2^{3}S_e$ )] ionsBound 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

Alexei M. Frolov

The European Physical Journal DApr 1, 20251 citation

Field shifts and lowest order QED corrections for the ground 1S1 and 2S3 states of the helium atoms

Alexei M. Frolov

The bound state properties of the ground 1 1S(L=0) state and the lowest triplet 2 3S(L=0) state of the 3He, 4He, and infinityHe helium atoms are determined to very high accuracy from the results of direct numerical computations. To compute the bound state properties of these atoms the author applied his exponential variational expansion in relative/perimetric three-body coordinates. For the ground 1 1S(L=0) state and the lowest triplet 2 3S(L=0) state of the 3He, 4He, and infinityHe atoms the author also determined the lowest order QED corrections and the field component of isotopic shift (=field shift). For the 2 3S(L=0) state of the 3He atom the hyperfine structure splitting is evaluated. The considered properties of the ground 1 1S state and the lowest 2 3S state in the 3He and 4He atoms are of great interest in a number of applications.The bound state properties of the ground 1 1S(L=0) state and the lowest triplet 2 3S(L=0) state of the 3He, 4He, and infinityHe helium atoms are determined to very high accuracy from the results of direct numerical computations. To compute the bound state properties of these atoms the author applied his exponential variational expansion in relative/perimetric three-body coordinates. For the ground 1 1S(L=0) state and the lowest triplet 2 3S(L=0) state of the 3He, 4He, and infinityHe atoms the author also determined the lowest order QED corrections and the field component of isotopic shift (=field shift). For the 2 3S(L=0) state of the 3He atom the hyperfine structure splitting is evaluated. The considered properties of the ground 1 1S state and the lowest 2 3S state in the 3He and 4He atoms are of great interest in a number of applications.

The Journal of Chemical PhysicsMar 13, 200728 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

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

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.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.

arXiv:1301.6402Jan 27, 20130 citations

Hyperfine Structure of the 6P1/2

R. Alheit, X. Feng, G.Z. Li +2 more

The hyperfine splitting of the 6P1/2–6P3/2 fine structure transition in 207Pb+ ions at 710 nm has been measured by c.w. laser excitation and subsequent observation of the weak fluorescence radiation at the same wavelength. The ions were confined in an rf quadrupole trap and buffer gas cooled by collisions with He atoms at 10−5 mbar pressure. From the observed level splitting and the simultaneously recorded transmision of a Fabry-Perot etalon we determined the hyperfine splitting constants A(6P1/2) = 13·001(48) GHz and A(6P3/2) = 0·589(23) GHz. From a small impurity of 208Pb of our isotopically enriched sample we determined the isotope shift of the transitions to Δv(207–208) = 252(40) MHz.The hyperfine splitting of the 6P1/2–6P3/2 fine structure transition in 207Pb+ ions at 710 nm has been measured by c.w. laser excitation and subsequent observation of the weak fluorescence radiation at the same wavelength. The ions were confined in an rf quadrupole trap and buffer gas cooled by collisions with He atoms at 10−5 mbar pressure. From the observed level splitting and the simultaneously recorded transmision of a Fabry-Perot etalon we determined the hyperfine splitting constants A(6P1/2) = 13·001(48) GHz and A(6P3/2) = 0·589(23) GHz. From a small impurity of 208Pb of our isotopically enriched sample we determined the isotope shift of the transitions to Δv(207–208) = 252(40) MHz.

Journal of Modern OpticsFeb 1, 19926 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