Bulletin of the American Physical Society

Numerical calculations of photoassociation of cold $^{85}$Rb$_{2}$ molecules to the 1_{g}(5P_{1/2})$ State

Thomas H. Bergeman

Published May 25, 2016• 0 citations

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Bulletin of the American Physical Society

Numerical calculations of photoassociation of cold $^{85}$ Rb $_{2}$ molecules to the 1_{g}(5P_{1/2})$ StateNumerical calculations of photoassociation of cold $^{85}$Rb$_{2}$ molecules to the 1_{g}(5P_{1/2})$ State

Thomas H. Bergeman

Published May 25, 2016• 0 citations

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Related papers

Photoassociation and ionization spectroscopy of ultracold $^{7}$ Li- $^{85}$ Rb moleculesPhotoassociation and ionization spectroscopy of ultracold $^{7}$Li-$^{85}$Rb molecules

Ian Stevenson, Adeel Altaf, John Lorenz +3 more

Bulletin of the American Physical SocietyJun 11, 20150 citations

Weakly bound 87 Rb 2 (5s1/2+5p1/2)1g molecules: Hyperfine interaction and LeRoy-Bernstein analysis including linear and nonlinear terms

Haikel Jelassi, Laurence Pruvost

Data on the $(5{s}_{1/2}+5{p}_{1/2}){1}_{g}$ ${}^{87}{\text{Rb}}_{2}$ state under the ${D}_{1}$ limit, provided by a photoassociation experiment on cold atoms, have been analyzed by an improved LeRoy-Bernstein (LRB) approach including linear and nonlinear terms and provide a ${c}_{6}$ value of the potential. To do that, using a model for hyperfine structure shifts, we have first subtracted the hyperfine effects in the split lines and deduced the vibrational energies. Then, we have compared three LRB-type models to fit the data. We conclude that the second-order improved LRB is well suited and allows us to deduce an experimental value of ${c}_{6}$ [${c}_{6}=(15.14\ifmmode\pm\else\textpm\fi{}0.05)\ifmmode\times\else\texttimes\fi{}{10}^{4}$ a.u.].Data on the $(5{s}_{1/2}+5{p}_{1/2}){1}_{g}$ ${}^{87}{\text{Rb}}_{2}$ state under the ${D}_{1}$ limit, provided by a photoassociation experiment on cold atoms, have been analyzed by an improved LeRoy-Bernstein (LRB) approach including linear and nonlinear terms and provide a ${c}_{6}$ value of the potential. To do that, using a model for hyperfine structure shifts, we have first subtracted the hyperfine effects in the split lines and deduced the vibrational energies. Then, we have compared three LRB-type models to fit the data. We conclude that the second-order improved LRB is well suited and allows us to deduce an experimental value of ${c}_{6}$ [${c}_{6}=(15.14\ifmmode\pm\else\textpm\fi{}0.05)\ifmmode\times\else\texttimes\fi{}{10}^{4}$ a.u.].

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We have studied polarization effects in the photoassociation of two colliding ultra-cold Na-atoms. In a first step the two colliding atoms absorb a laser photon to associate to a singly excited molecule in a bound state of the 0g− or 1g potential. In a second step the excited molecule absorbs a second photon and is further excited to a bound level in a doubly excited potential (0u− or 1u which are autoionizing). By measuring the produced ions with parallel and perpendicular polarizations of the two laser beams used possible polarization effects can be studied. We find strong polarization effects if a 0g− state is used as the intermediate state and very little or no effects at all if a 1g state is used.We have studied polarization effects in the photoassociation of two colliding ultra-cold Na-atoms. In a first step the two colliding atoms absorb a laser photon to associate to a singly excited molecule in a bound state of the 0g− or 1g potential. In a second step the excited molecule absorbs a second photon and is further excited to a bound level in a doubly excited potential (0u− or 1u which are autoionizing). By measuring the produced ions with parallel and perpendicular polarizations of the two laser beams used possible polarization effects can be studied. We find strong polarization effects if a 0g− state is used as the intermediate state and very little or no effects at all if a 1g state is used.

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Numerical calculations of photoassociation of cold

^{85}

_{2}

molecules to the 1_{g}(5P_{1/2})$ State

Photoassociation and ionization spectroscopy of ultracold

^{7}

Li-

^{85}

Rb molecules

Data on the

(5{s}_{1/2}+5{p}_{1/2}){1}_{g}

{}^{87}{\text{Rb}}_{2}

state under the

{D}_{1}

limit, provided by a photoassociation experiment on cold atoms, have been analyzed by an improved LeRoy-Bernstein (LRB) approach including linear and nonlinear terms and provide a

{c}_{6}

value of the potential. To do that, using a model for hyperfine structure shifts, we have first subtracted the hyperfine effects in the split lines and deduced the vibrational energies. Then, we have compared three LRB-type models to fit the data. We conclude that the second-order improved LRB is well suited and allows us to deduce an experimental value of

{c}_{6}

[${c}_{6}=(15.14\ifmmode\pm\else\textpm\fi{}0.05)\ifmmode\times\else\texttimes\fi{}{10}^{4}$ a.u.].

Photoassociation of

^{85}

Rb Atoms in

0_{u}^{+}

States Near the 5S+5P Atomic Limits

Photoassociation of cold (RbCs)

_2

tetramers in the ground electronic state