Non-relativistic ab initio calculations for $2^{2}S$, $2^{2}P$ and $3^{2}D$ lithium isotopes: Applications to polarizabilities and dispersion interactions

Abstract

The electric dipole polarizabilities and hyperpolarizabilities for the lithium isotopes ${}^6$Li and ${}^7$Li in the ground state $2^{2}S$ and the excited states $2^{2}P$ and $3^{2}D$, as well as the leading resonance and dispersion long-range coefficients for the Li($2^{2}S$)--Li($2^{2}S$) and Li($2^{2}S$)--Li($2^{2}P$) systems, are calculated nonrelativistically using variational wave functions in Hylleraas basis sets. Comparisons are made with published results, where available. We find that the value of the second hyperpolarizability of the $2^{2}S$ state is sensitive to the isotopic mass due to a near cancellation between two terms. For the $3^{2}D$ state polarizability tensor the calculated components disagree with those measured in the sole experiment and with those calculated semi-empirically.

arXiv comment20 pages

References in corpus (15)

• Lithium isotopic abundances in metal-poor halo stars
• Precise determination of ${}^6$Li cold collision parameters by radio-frequency spectroscopy on weakly bound molecules
• Variational calculations of dispersion coefficients for interactions between H, He, and Li atoms
• Extreme tunability of interactions in a ${}^7$Li Bose-Einstein condensate
• High-precision calculations of van der Waals coefficients for heteronuclear alkali-metal dimers
• Accurate relativistic many-body calculations of van der Waals coefficients C_8 and C_10 for alkali-metal dimers
• Interactions and dynamics in Li + Li_2 ultracold collisions
• Measurement of the electric polarizability of lithium by atom interferometry
• Long-range interactions of lithium atoms
• Fine and hyperfine splitting of the 2P state in Li and Be${}^{+}$
• Autler-Townes splitting in two-color photoassociation of 6Li
• Convergence of all-order many-body methods: coupled-cluster study for Li
• An {\it ab initio} relativistic coupled-cluster theory of dipole and quadrupole polarizabilities: Applications to a few alkali atoms and alkaline earth ions
• Long-range interactions between a He($2^{3}S$) atom and a He($2^{3}P$) atom for like isotopes
• Ab initio determination of polarizabilities and van der Waals coefficients of Li atoms using the relativistic CCSD(T) method

Cited by in corpus (17)

• Theory and applications of atomic and ionic polarizabilities
• Magic wavelengths for optical cooling and trapping of lithium
• A DPF analysis yields accurate analytic potentials for Li${}_2(a{}^3{\Sigma }_u^{+})$ and Li${}_2(1{}^3{\Sigma }_g^{+})$ that incorporate 3-state mixing near the $1{}^3{\Sigma }_g^{+}$-state asymptote
• The dynamic dipole polarizabilities of the Li atom and the Be+ ion
• Efimov states near a Feshbach resonance and the limits of van der Waals universality at finite background scattering length
• High resolution photoassociation spectroscopy of the ${}^6$Li${}_2$ $1^3{\Sigma }_g^{+}$ state
• The long-range non-additive three-body dispersion interactions for the rare gases, alkali and alkaline-earth atoms
• High-precision nonadiabatic calculations of dynamic polarizabilities and hyperpolarizabilities for the lowlying vibrational-rotational states of hydrogen molecular ions
• Calculations of polarizabilities and hyperpolarizabilities for the Be${}^{+}$ ion
• High resolution photoassociation spectroscopy of the ${}^6$Li${}_2$ $A(1^1{\Sigma }_u^{+})$ state
• Measurement of a ${}^7$Li tune-out wavelength by phase-patterned atom interferometry
• Long range interactions between alkali and alkaline-earth atoms
• Interaction potentials and ultracold scattering cross sections for the ${}^7$Li${}^{+}$-${}^7$Li ion-atom system
• Calculations of long-range three-body interactions for Li($2{}^{2}S$)-Li($2{}^{2}S$)-Li($2{}^{2}P$)
• Long-range additive and nonadditive potentials in a hybrid system: Ground state atom, excited state atom, and ion
• Relativistic hyperpolarizabilities for atomic H, Li, and Be${}^{+}$ systems
• Analysis of polarizability measurements made with atom interferometry