Long-range interactions between an atom in its ground S state and an open-shell linear molecule

Abstract

Theory of long-range interactions between an atom in its ground S state and a linear molecule in a degenerate state with a non-zero projection of the electronic orbital angular momentum is presented. It is shown how the long-range coefficients can be related to the first and second-order molecular properties. The expressions for the long-range coefficients are written in terms of all components of the static and dynamic multipole polarizability tensor, including the nonadiagonal terms connecting states with the opposite projection of the electronic orbital angular momentum. It is also shown that for the interactions of molecules in excited states that are connected to the ground state by multipolar transition moments additional terms in the long-range induction energy appear. All these theoretical developments are illustrated with the numerical results for systems of interest for the sympathetic cooling experiments: interactions of the ground state Rb(${}^2$S) atom with CO(${}^3\Pi$), OH(${}^2\Pi$), NH(${}^1\Delta$), and CH(${}^2\Pi$) and of the ground state Li(${}^2$S) atom with CH(${}^2\Pi$).

30 pages, 3 figures

References in corpus (9)

• A High Phase-Space-Density Gas of Polar Molecules
• Observation of Bose-Einstein Condensation of Molecules
• A trapped single ion inside a Bose-Einstein condensate
• Dynamics of a cold trapped ion in a Bose-Einstein condensate
• Cold heteronuclear atom-ion collisions
• Cold N+NH Collisions in a Magnetic Trap
• Dynamics of ultracold molecules in confined geometry and electric field
• Cold collisions of N atoms and NH molecules in magnetic fields
• Trapping of Rb atoms by ac electric fields

Cited by in corpus (6)

• Interatomic potentials, electric properties, and spectroscopy of the ground and excited states of the Rb_2 molecule: Ab initio calculations and effect of a non-resonant field
• Scattering lengths in isotopologues of the RbYb system
• Femtosecond two-photon photoassociation of hot magnesium atoms: A quantum dynamical study using thermal random phase wavefunctions
• Transition moments between excited electronic states from the Hermitian formulation of the coupled cluster quadratic response function
• Cold collisions of an open-shell S-state atom with a ^2Pi molecule: N(^4S) colliding with OH in a magnetic field
• Interactions and cold collisions of AlF in the ground and excited electronic states with He