Journal of Physics Conference Series

Long range interaction of antiprotonic helium with helium

Quan-Long Tian, Zhen-Xiang Zhong, V. I. Korobov

Published Apr 10, 2014• 0 citations

Abstract

We intent to report our study of dispersion coefficients as well as long range interaction between helium ground state and antiprotonic helium 3 He + and 4 He + states, ( n , ℓ = n –l). Sstatic polarizabilities of antiprotonic helium metal states are present as well.

DOI: 10.1088/1742-6596/488/7/072009

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Journal of Physics Conference Series

Long range interaction of antiprotonic helium with helium

Quan-Long Tian, Zhen-Xiang Zhong, V. I. Korobov

Published Apr 10, 2014• 0 citations

Publisher

Abstract

DOI: 10.1088/1742-6596/488/7/072009

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Physical Review AAug 7, 200749 citations

The long-range interaction between an antiprotonic helium atom

\overline{p}{\mathrm{He}}^{+}

and helium atom in its ground state is studied. We calculate the dispersion coefficients

{C}_{6}

using the complex coordinate rotation (CCR) formalism in order to comply with the resonant nature of metastable states of the antiprotonic helium. We present as well numerical data on static dipole polarizabilities of antiprotonic helium states. The obtained coefficients

{C}_{6}

may be used to estimate the collisional shift and broadening of transition lines in a low-density precision spectroscopy of the antiprotonic helium.

The dispersion coefficients for the long-range interaction of the first four excited states of He, i.e., He(2

{}^{1,3}\phantom{\rule{-0.16em}{0ex}}

S

) and He(2

{}^{1,3}

P

), with the low-lying states of the alkali-metal atoms Li, Na, K, and Rb are calculated by summing over the reduced matrix elements of the multipole transition operators. For the interaction between He and Li the uncertainty of the calculations is 0.1--0.5

%

. For interactions with other alkali-metal atoms the uncertainty is 1--3

%

in the coefficient

{C}_{5}

, 1--5

%

in the coefficient

{C}_{6}

, and 1--10

%

in the coefficients

{C}_{8}

and

{C}_{10}

. The dispersion coefficients

{C}_{n}

for the interaction of He(2

{}^{1,3}\phantom{\rule{-0.16em}{0ex}}

S

) and He(2

{}^{1,3}

P

) with the ground-state alkali-metal atoms and for the interaction of He(2

{}^{1,3}\phantom{\rule{-0.16em}{0ex}}

S

) with the alkali-metal atoms in their first

{}^{2}

P

states are presented in this Brief Report. The coefficients for other pairs of atomic states are listed in the Supplemental Material.

The electric dipole, quadrupole, and octupole polarizabilities of a helium atom and the associated dispersion coefficients for the interaction of two helium atoms are calculated for the atomic

n=2

singlet and triplet states, respectively,

\mathrm{He}(2{}^{1}S)

and

\mathrm{He}(2{}^{3}S)

. The calculations utilize highly accurate, variationally determined, wave functions composed of doubled basis sets. The effects of retardation due to the finite speed of light are calculated for the dispersion potentials of two

\mathrm{He}(2{}^{1}S)

or two

\mathrm{He}(2{}^{3}S)

atoms and for the atom-surface interaction potentials of a

\mathrm{He}(2{}^{1}S)

or a

\mathrm{He}(2{}^{3}S)

atom with a perfectly conducting or a dielectric wall.

The scalar and tensor dynamic polarizabilities of the first excited

^{2}P_{1∕2,3∕2}

states of the alkali-metal atoms

\mathrm{Na}

\mathrm{K}

, and

\mathrm{Rb}

are calculated using relativistic many-body perturbation theory. Comparison with experimental measurements of the static polarizabilities suggests that the errors in the theoretical predictions do not exceed 1%. The dynamic polarizabilities at imaginary frequencies are employed to calculate the long-range van der Waals coefficients for the interaction of ground-state helium atoms with the excited alkali-metal atoms to a probable error of less than 2%.

A general procedure for systematically evaluating the long-range dispersion interaction between two heteronuclear atoms in arbitrary states is outlined. The

{C}_{6}

dispersion parameter can always be written in terms of sum rules involving oscillator strengths only and formulas for a number of symmetry cases are given. The dispersion coefficients for excited alkali-metal atoms interacting with the ground-state H and He are tabulated.