Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review A

Dispersion coefficients for highly excited molecular states of K 2

Mircea Marinescu, Anthony F. Starace

Published Nov 1, 1997• 2 citations
Publisher

Abstract

We report results of theoretical calculations for the dispersion coefficients associated with the long-range interaction of two ${}^{39}$K atoms in the states ${}^{39}$K$(4s)$-${}^{39}$K$(5d,6d,7s)$. These results have been found by Wang et al. [Phys. Rev. Lett. 78, 4173 (1997)] to be in a good agreement with their measurements.

DOI
10.1103/physreva.56.4321

Related papers

Dipole polarizabilities of the potassium atom in its ground (4 2S) and excited (4 2P, 5 2S) states, and long-range dispersion interactions between two K atoms

Mohammadou Mérawa, Didier Bégué

The dipole polarizabilities of the potassium atom in its ground (4 2S) and low-lying excited (4 2P, 5 2S) states have been calculated using the time-dependent gauge-invariant variational method [Mérawa, Rérat, and Pouchan, J. Chim. Phys. 91, 1387 (1994)]. The variation of these polarizabilities versus imaginary frequencies [Casimir and Polder, Phys. Rev. 73, 360 (1948)] have been computed, and the long-range dispersion coefficients for the molecular states of K2 dissociating to K(4S)+K(4S), K(4S)+K(4P), K(4P)+K(4P), K(4S)+K(5S), K(5S)+K(4P) and K(5S)+K(5S) have been evaluated. The results obtained for K(4S)+K(4P) interactions are in very good agreement with the recent experimental high-resolution photoassociative data of Wang et al. [J. Chem. Phys. 106, 7899 (1997)]. The long-range dispersion coefficients for the K(4P)+K(4P), K(4P)+K(5S) and K(5S)+K(5S) interactions are new.

The Journal of Chemical Physics•Apr 1, 1998•5 citations

Long-range interaction of two metastable rare-gas atoms

Andrei Derevianko, A. Dalgarno

We present semiempirical calculations of long-range van der Waals interactions for two interacting metastable rare-gas atoms Ne through Xe. Dispersion coefficients ${C}_{6}$ are obtained for homonuclear molecular potentials asymptotically connecting to the ${\mathrm{ns}(3/2)}_{2}{+ns(3/2)}_{2}$ atomic states. The estimated uncertainty of the calculated ${C}_{6}$ dispersion coefficients is 4%.

arXiv:physics/0005082•Physical Review A•Oct 27, 2000•17 citations

Long-range interactions between excited helium and alkali-metal atoms

J. Y. Zhang, Li-Yan Tang, T.-Y. Shi +2 more

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.

Physical Review A•Dec 3, 2012•10 citations

Calculated long-range coefficients Cn(n=6, 8, 10) for the interactions Na(3s)+K(4s) and Na(3s)+K(4p)

Béatrice Bussery‐Honvault, Monique Aubert-Frécon

The long-range coefficients C n (n=6, 8, 10) have been calculated for the molecular states corresponding to the interactions Na(3s)+K(4s) and Na(3s)+K(4p) using a perturbative model the authors recently proposed. For the ground state they obtained the following results (in au) C 6 =-2803, C 8 =-201516, C 10 =-17674349 in good agreement with the values deduced from an accurate RKR potential curve just determined.

Journal of Physics B Atomic and Molecular Physics•Jun 28, 1985•10 citations

Long-range interactions between alkali Rydberg atom pairs correlated to thens–ns,np–np andnd–nd asymptotes

Kilian Singer, Jovica Stanojevic, Matthias Weidemüller +1 more

We have calculated the long-range interaction potential curves of highly excited Rydberg atom pairs for the combinations Li–Li, Na–Na, K–K, Rb–Rb and Cs–Cs in a perturbative approach. The dispersion C -coefficients are determined for all symmetries of molecular states that correlate to the n s– n s, n p– n p and n d– n d asymptotes. Fitted parameters are given for the scaling of the C -coefficients as a function of the principal quantum number n for all homonuclear pairs of alkali metal atoms.

Journal of Physics B Atomic Molecular and Optical Physics•Jan 6, 2005•290 citations

Two-dipole and three-dipole dispersion coefficients for interaction of alkaline-earth atoms with alkaline-earth atoms and alkaline-earth ions

Neelam Shukla, Bindiya Arora, Lalita Sharma +1 more

Apropos to the growing interest in the study of long-range interactions which for their applications in cold atom physics, we have performed theoretical calculation for the two-dipole $C_6$ and three-dipole $C_9$ dispersion coefficients involving alkaline-earth atoms with alkaline-earth atoms and alkaline-earth ions. The $C_6$ and $C_9$ coefficients are expressed in terms of the dynamic dipole polarizabilities, which are calculated using relativistic methods. Thereafter, the calculated $C_6$ coefficients for the considered alkaline-earth atoms among themselves are compared with the previously reported values. Due to unavailability of any other earlier theoretical or experimental results, for the $C_6$ coefficients for alkaline-earth atoms with alkaline-earth ions and the $C_9$ coefficients, we have performed separate fitting calculations and compared. Our calculations match in an excellent manner with the fitting calculations. We have also reported the oscillator strengths for the leading transitions and static dipole polarizabilities for the ground states of the alkaline-earth ions, i.e., Mg$^+$, Ca$^+$, Sr$^+$, and Ba$^+$ as well as the alkaline-earth atoms, i.e., Mg, Ca, Sr, and Ba. These, when compared with the available experimental results, show good agreement.

arXiv:2008.04341•Aug 10, 2020•0 citations
We report results of theoretical calculations for the dispersion coefficients associated with the long-range interaction of two 39{}^{39}39K atoms in the states 39{}^{39}39K(4s)(4s)(4s)-39{}^{39}39K(5d,6d,7s)(5d,6d,7s)(5d,6d,7s). These results have been found by Wang et al. [Phys. Rev. Lett. 78, 4173 (1997)] to be in a good agreement with their measurements.
The dipole polarizabilities of the potassium atom in its ground (4 2S) and low-lying excited (4 2P, 5 2S) states have been calculated using the time-dependent gauge-invariant variational method [Mérawa, Rérat, and Pouchan, J. Chim. Phys. 91, 1387 (1994)]. The variation of these polarizabilities versus imaginary frequencies [Casimir and Polder, Phys. Rev. 73, 360 (1948)] have been computed, and the long-range dispersion coefficients for the molecular states of K2 dissociating to K(4S)+K(4S), K(4S)+K(4P), K(4P)+K(4P), K(4S)+K(5S), K(5S)+K(4P) and K(5S)+K(5S) have been evaluated. The results obtained for K(4S)+K(4P) interactions are in very good agreement with the recent experimental high-resolution photoassociative data of Wang et al. [J. Chem. Phys. 106, 7899 (1997)]. The long-range dispersion coefficients for the K(4P)+K(4P), K(4P)+K(5S) and K(5S)+K(5S) interactions are new.
We present semiempirical calculations of long-range van der Waals interactions for two interacting metastable rare-gas atoms Ne through Xe. Dispersion coefficients C6{C}_{6}C6​ are obtained for homonuclear molecular potentials asymptotically connecting to the ns(3/2)2+ns(3/2)2{\mathrm{ns}(3/2)}_{2}{+ns(3/2)}_{2}ns(3/2)2​+ns(3/2)2​ atomic states. The estimated uncertainty of the calculated C6{C}_{6}C6​ dispersion coefficients is 4%.
The dispersion coefficients for the long-range interaction of the first four excited states of He, i.e., He(2 1,3{}^{1,3}\phantom{\rule{-0.16em}{0ex}}1,3SSS) and He(2 1,3{}^{1,3}1,3PPP), 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 C5{C}_{5}C5​, 1--5% in the coefficient C6{C}_{6}C6​, and 1--10% in the coefficients C8{C}_{8}C8​ and C10{C}_{10}C10​. The dispersion coefficients Cn{C}_{n}Cn​ for the interaction of He(2 1,3{}^{1,3}\phantom{\rule{-0.16em}{0ex}}1,3SSS) and He(2 1,3{}^{1,3}1,3PPP) with the ground-state alkali-metal atoms and for the interaction of He(2 1,3{}^{1,3}\phantom{\rule{-0.16em}{0ex}}1,3SSS) with the alkali-metal atoms in their first 2{}^{2}2PPP states are presented in this Brief Report. The coefficients for other pairs of atomic states are listed in the Supplemental Material.
We have calculated the long-range interaction potential curves of highly excited Rydberg atom pairs for the combinations Li–Li, Na–Na, K–K, Rb–Rb and Cs–Cs in a perturbative approach. The dispersion C -coefficients are determined for all symmetries of molecular states that correlate to the n s– n s, n p– n p and n d– n d asymptotes. Fitted parameters are given for the scaling of the C -coefficients as a function of the principal quantum number n for all homonuclear pairs of alkali metal atoms.
Apropos to the growing interest in the study of long-range interactions which for their applications in cold atom physics, we have performed theoretical calculation for the two-dipole C6C_6C6​ and three-dipole C9C_9C9​ dispersion coefficients involving alkaline-earth atoms with alkaline-earth atoms and alkaline-earth ions. The C6C_6C6​ and C9C_9C9​ coefficients are expressed in terms of the dynamic dipole polarizabilities, which are calculated using relativistic methods. Thereafter, the calculated C6C_6C6​ coefficients for the considered alkaline-earth atoms among themselves are compared with the previously reported values. Due to unavailability of any other earlier theoretical or experimental results, for the C6C_6C6​ coefficients for alkaline-earth atoms with alkaline-earth ions and the C9C_9C9​ coefficients, we have performed separate fitting calculations and compared. Our calculations match in an excellent manner with the fitting calculations. We have also reported the oscillator strengths for the leading transitions and static dipole polarizabilities for the ground states of the alkaline-earth ions, i.e., Mg+^++, Ca+^++, Sr+^++, and Ba+^++ as well as the alkaline-earth atoms, i.e., Mg, Ca, Sr, and Ba. These, when compared with the available experimental results, show good agreement.