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Bulletin of the American Physical Society

Photoassociation of Fermionic 87 Sr via the 1 S 0 - 1 P 1 Transition

Joshua C. Hill, T. C. Killian

Published Mar 2, 2020• 0 citations
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Formation of deeply bound ultracold Sr 2 molecules by photoassociation near the 1S+3P1 intercombination line

Wojciech Skomorowski, Robert Moszyński, Christiane P. Koch

We predict feasibility of the photoassociative formation of Sr${}_{2}$ molecules in arbitrary vibrational levels of the electronic ground state based on state-of-the-art ab initio calculations. Key is the strong spin-orbit interaction between the $c\phantom{\rule{0.16em}{0ex}}$${}^{3}\phantom{\rule{-0.16em}{0ex}}{\ensuremath{\Pi}}_{u}$, $A\phantom{\rule{0.16em}{0ex}}$${}^{1}\phantom{\rule{-0.16em}{0ex}}{\ensuremath{\Sigma}}_{u}^{+}$, and $B\phantom{\rule{0.16em}{0ex}}$${}^{1}\phantom{\rule{-0.16em}{0ex}}{\ensuremath{\Sigma}}_{u}^{+}$ states. It creates not only an effective dipole moment allowing free-to-bound transitions near the ${}^{1}\phantom{\rule{-0.16em}{0ex}}S+{}^{3}\phantom{\rule{-0.16em}{0ex}}{P}_{1}$ intercombination line but also facilitates bound-to-bound transitions via resonantly coupled excited-state levels to deeply bound levels of the ground $X\phantom{\rule{0.16em}{0ex}}$${}^{1}\phantom{\rule{-0.16em}{0ex}}{\ensuremath{\Sigma}}_{g}^{+}$ potential, with ${v}^{\ensuremath{'}\ensuremath{'}}$ as low as ${v}^{\ensuremath{'}\ensuremath{'}}=6$. The spin-orbit interaction is responsible for both optical pathways. Therefore, those excited-state levels that have the largest bound-to-bound transition moments to deeply bound ground-state levels also exhibit a sufficient photoassociation probability, comparable to that of the lowest weakly bound excited-state level previously observed by Zelevinsky et al. [Phys. Rev. Lett. 96, 203201 (2006)]. Our study paves the way for an efficient photoassociative production of Sr${}_{2}$ molecules in ground-state levels suitable for experiments testing the electron-to-proton mass ratio.

arXiv:1203.4552•Physical Review A•Apr 17, 2012•28 citations
Progress on direct photoassociation of halo molecules in ultracold 86^{86}86Sr
We predict feasibility of the photoassociative formation of Sr2{}_{2}2​ molecules in arbitrary vibrational levels of the electronic ground state based on state-of-the-art ab initio calculations. Key is the strong spin-orbit interaction between the cc\phantom{\rule{0.16em}{0ex}}c${}^{3}\phantom{\rule{-0.16em}{0ex}}{\ensuremath{\Pi}}_{u}$, AA\phantom{\rule{0.16em}{0ex}}A${}^{1}\phantom{\rule{-0.16em}{0ex}}{\ensuremath{\Sigma}}_{u}^{+}$, and BB\phantom{\rule{0.16em}{0ex}}B${}^{1}\phantom{\rule{-0.16em}{0ex}}{\ensuremath{\Sigma}}_{u}^{+}$ states. It creates not only an effective dipole moment allowing free-to-bound transitions near the 1S+3P1{}^{1}\phantom{\rule{-0.16em}{0ex}}S+{}^{3}\phantom{\rule{-0.16em}{0ex}}{P}_{1}1S+3P1​ intercombination line but also facilitates bound-to-bound transitions via resonantly coupled excited-state levels to deeply bound levels of the ground XX\phantom{\rule{0.16em}{0ex}}X${}^{1}\phantom{\rule{-0.16em}{0ex}}{\ensuremath{\Sigma}}_{g}^{+}$ potential, with ${v}^{\ensuremath{'}\ensuremath{'}}$ as low as ${v}^{\ensuremath{'}\ensuremath{'}}=6$. The spin-orbit interaction is responsible for both optical pathways. Therefore, those excited-state levels that have the largest bound-to-bound transition moments to deeply bound ground-state levels also exhibit a sufficient photoassociation probability, comparable to that of the lowest weakly bound excited-state level previously observed by Zelevinsky et al. [Phys. Rev. Lett. 96, 203201 (2006)]. Our study paves the way for an efficient photoassociative production of Sr2{}_{2}2​ molecules in ground-state levels suitable for experiments testing the electron-to-proton mass ratio.