Ground-state properties of Ca${}_2$ from narrow line two-color photoassociation

Abstract

By two-color photoassociation of ${}^{40}$Ca four weakly bound vibrational levels in the Ca${}_2$ \Xpot ground state potential were measured, using highly spin-forbidden transitions to intermediate states of the coupled system ${}^3{\Pi }_u$ and ${}^3{\Sigma }_u^{+}$ near the ${}^3{P}_1$+${}^1{S}_0$ asymptote. From the observed binding energies, including the least bound state, the long range dispersion coefficients ${\mathrm{C}}_6,{\mathrm{C}}_8,{\mathrm{C}}_{10}$ and a precise value for the s-wave scattering length of 308.5(50)~$a_0$ were derived. From mass scaling we also calculated the corresponding scattering length for other natural isotopes. From the Autler-Townes splitting of the spectra, the molecular Rabi frequency has been determined as function of the laser intensity for one bound-bound transition. The observed value for the Rabi-frequency is in good agreement with calculated transition moments based on the derived potentials, assuming a dipole moment being independent of internuclear separation for the atomic pair model.

v3:Edit to match published version. Minor wording changes, Changed label of Fig. VI v2:Corrected Eq. 8 (used inverse instead), typo in Tab. I and typo in Chapter VI

References in corpus (4)

• Two-color photoassociation spectroscopy of ytterbium atoms and the precise determinations of s-wave scattering lengths
• Bose-Einstein condensation of alkaline earth atoms: ${}^{40}${Ca}
• Narrow Line Photoassociation in an Optical Lattice
• Two-photon photoassociative spectroscopy of ultracold 88-Sr

Cited by in corpus (4)

• Two-photon photoassociation spectroscopy of CsYb: ground-state interaction potential and interspecies scattering lengths
• Photoassociative Spectroscopy of a Halo Molecule in ${}^{86}$Sr
• Searching for New Fundamental Interactions via Isotopic Shifts in Molecular Lattice Clocks
• High-intensity two-frequency photoassociation spectroscopy of a weakly bound molecular state: theory and experiment