^{1,a)}, J. Mitroy

^{2}, Z.-C. Yan

^{3,4,5}, J. F. Babb

^{6}, H. R. Sadeghpour

^{6}and U. Schwingenschlögl

^{1,b)}

### Abstract

Dispersion coefficients for the long-range interactions of the first four excited states of He, i.e., He(2 ^{1, 3} *S*) and He(2 ^{1, 3} *P*), with the low-lying states of the alkaline earth atoms Mg, Ca, and Sr are calculated by summing over the reduced matrix elements of multipole transition operators.

Z.-C. Yan was supported by the NSERC of Canada, by the Canadian computing facilities of SHARCnet and ACEnet, and in part by the Chinese Academy of Sciences CAS/SAFEA International Partnership Program for Creative Research Teams. J. F. Babb and H. R. Sadeghpour were supported by the National Science Foundation through a grant for the Institute of Theoretical Atomic, Molecular, and Optical Physics at Harvard University and Smithsonian Astrophysical Observatory.

I. INTRODUCTION

II. CALCULATION OF DISPERSION COEFFICIENTS

III. REPRESENTATION OF ATOMIC STRUCTURE

A. Transition spectra of helium atoms

B. Transition spectra of alkaline earth atoms

IV. RESULTS AND DISCUSSION

V. CONCLUSION

### Key Topics

- Magnesium
- 8.0
- Atomic spectra
- 7.0
- Excited states
- 7.0
- Ionization
- 7.0
- Atomic ionization
- 6.0

## Tables

Dispersion coefficients for the He(2 ^{1, 3} *S*) states with Mg(3*s* ^{2} ^{1} *S*), Ca(4*s* ^{2} ^{1} *S*), and Sr(5*s* ^{2} ^{1} *S*). The numbers in square brackets denote powers of ten.

Dispersion coefficients for the He(2 ^{1, 3} *S*) states with Mg(3*s* ^{2} ^{1} *S*), Ca(4*s* ^{2} ^{1} *S*), and Sr(5*s* ^{2} ^{1} *S*). The numbers in square brackets denote powers of ten.

Dispersion coefficients for the interactions of He(2 ^{1, 3} *P*) with Mg(3*s* ^{2} ^{1} *S*), Ca(4*s* ^{2} ^{1} *S*), and Sr(5*s* ^{2} ^{1} *S*). The numbers in the square brackets denote powers of ten.

Dispersion coefficients for the interactions of He(2 ^{1, 3} *P*) with Mg(3*s* ^{2} ^{1} *S*), Ca(4*s* ^{2} ^{1} *S*), and Sr(5*s* ^{2} ^{1} *S*). The numbers in the square brackets denote powers of ten.

Dispersion coefficients for the interactions of He(2 ^{1, 3} *S*) with Mg(3*s* 3*p* ^{1} *P*), Ca(4*s* 4*p* ^{1} *P*), and Sr(5*s* 5*p* ^{1} *P*) except for the system Mg(3*s* 3*p* ^{1} *P*)-He(2 ^{1} *S*). The numbers in square brackets denote powers of ten.

Dispersion coefficients for the interactions of He(2 ^{1, 3} *S*) with Mg(3*s* 3*p* ^{1} *P*), Ca(4*s* 4*p* ^{1} *P*), and Sr(5*s* 5*p* ^{1} *P*) except for the system Mg(3*s* 3*p* ^{1} *P*)-He(2 ^{1} *S*). The numbers in square brackets denote powers of ten.

Dispersion coefficients for the interactions of He(2 ^{1, 3} *S*) with Mg(3*s* 3*p* ^{3} *P*), Ca(4*s* 4*p* ^{3} *P*), and Sr(5*s* 5*p* ^{3} *P*). The numbers in square brackets denote powers of ten.

Dispersion coefficients for the interactions of He(2 ^{1, 3} *S*) with Mg(3*s* 3*p* ^{3} *P*), Ca(4*s* 4*p* ^{3} *P*), and Sr(5*s* 5*p* ^{3} *P*). The numbers in square brackets denote powers of ten.

Dispersion coefficients for the interactions of He(2 ^{1} *P*) with Ca(4*s* 4*p* ^{1} *P*) and Sr(5*s* 5*p* ^{1} *P*). The numbers in square brackets denote powers of ten.

Dispersion coefficients for the interactions of He(2 ^{1} *P*) with Ca(4*s* 4*p* ^{1} *P*) and Sr(5*s* 5*p* ^{1} *P*). The numbers in square brackets denote powers of ten.

Dispersion coefficients for the interactions of He(2 ^{1} *P*) with Mg(3*s* 3*p* ^{3} *P*), Ca(4*s* 4*p* ^{3} *P*), and Sr(5*s* 5*p* ^{3} *P*). The numbers in square brackets denote powers of ten.

Dispersion coefficients for the interactions of He(2 ^{1} *P*) with Mg(3*s* 3*p* ^{3} *P*), Ca(4*s* 4*p* ^{3} *P*), and Sr(5*s* 5*p* ^{3} *P*). The numbers in square brackets denote powers of ten.

Dispersion coefficients for the interaction of He(2 ^{3} *P*) with Ca(4*s* 4*p* ^{1} *P*) and Sr(5*s* 5*p* ^{1} *P*). The numbers in square brackets denote powers of ten.

Dispersion coefficients for the interaction of He(2 ^{3} *P*) with Ca(4*s* 4*p* ^{1} *P*) and Sr(5*s* 5*p* ^{1} *P*). The numbers in square brackets denote powers of ten.

Dispersion coefficients for the interactions of He(2 ^{3} *P*) with Mg(3*s* 3*p* ^{3} *P*), Ca(4*s* 4*p* ^{3} *P*), and Sr(5*s* 5*p* ^{3} *P*). The numbers in square brackets denote powers of ten.

Dispersion coefficients for the interactions of He(2 ^{3} *P*) with Mg(3*s* 3*p* ^{3} *P*), Ca(4*s* 4*p* ^{3} *P*), and Sr(5*s* 5*p* ^{3} *P*). The numbers in square brackets denote powers of ten.

Dispersion coefficients for the interactions of He(2 ^{1, 3} *S*) with Mg(3*s* 3*d* ^{1} *D*) and Ca(4*s* 3*d* ^{1} *D*). The numbers in square brackets denote powers of ten.

Dispersion coefficients for the interactions of He(2 ^{1, 3} *S*) with Mg(3*s* 3*d* ^{1} *D*) and Ca(4*s* 3*d* ^{1} *D*). The numbers in square brackets denote powers of ten.

Dispersion coefficients for the interactions of He(2 ^{1, 3} *S*) with Mg(3*s* 3*d* ^{3}D) and Ca(4*s* 3*d* ^{3}D). The numbers in square brackets denote powers of ten.

Dispersion coefficients for the interactions of He(2 ^{1, 3} *S*) with Mg(3*s* 3*d* ^{3}D) and Ca(4*s* 3*d* ^{3}D). The numbers in square brackets denote powers of ten.

Dispersion coefficients for the interactions of He(2 ^{1, 3} *S*) with Mg(3*s* 4*s* ^{1, 3} *S*) and Ca(4*s* 5*s* ^{1, 3} *S*). The numbers in square brackets denote powers of ten.

Dispersion coefficients for the interactions of He(2 ^{1, 3} *S*) with Mg(3*s* 4*s* ^{1, 3} *S*) and Ca(4*s* 5*s* ^{1, 3} *S*). The numbers in square brackets denote powers of ten.

Dispersion coefficients for the interactions of He(2 ^{1, 3} *P*) with Mg(3*s* 4*s* ^{1, 3} *S*) and Ca(4*s* 5*s* ^{1, 3} *S*). The numbers in square brackets denote powers of ten.

Dispersion coefficients for the interactions of He(2 ^{1, 3} *P*) with Mg(3*s* 4*s* ^{1, 3} *S*) and Ca(4*s* 5*s* ^{1, 3} *S*). The numbers in square brackets denote powers of ten.

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