We present calculated scattering lengths for collisions between various isotopic forms of lithium and hydrogen atoms interacting via singlet and triplet molecular states of LiH. We demonstrate that one bound triplet level is supported for each isotopomer 7LiH, 6LiH, 7LiD, and 6LiD. We obtain large calculated triplet scattering lengths that are stable against uncertainties in the potential. We present elastic and momentum transfer cross sections, and the corresponding rate coefficients, for hydrogen atoms colliding with 7Li atoms. We suggest that enhanced cooling of trapped atomic hydrogen by 7Li atoms is feasible.We present calculated scattering lengths for collisions between various isotopic forms of lithium and hydrogen atoms interacting via singlet and triplet molecular states of LiH. We demonstrate that one bound triplet level is supported for each isotopomer 7LiH, 6LiH, 7LiD, and 6LiD. We obtain large calculated triplet scattering lengths that are stable against uncertainties in the potential. We present elastic and momentum transfer cross sections, and the corresponding rate coefficients, for hydrogen atoms colliding with 7Li atoms. We suggest that enhanced cooling of trapped atomic hydrogen by 7Li atoms is feasible.

Physical Review LettersMar 27, 200051 citations

Scattering of Heavy Charged Particles on Hydrogen Atoms

Rimantas Lazauskas, Jaume Carbonell

arXiv:quant-ph/0112104Few-Body SystemsMay 1, 20028 citations

Scattering lengths for collisions of hydrogen and deuterium atoms

X Chu, Michael J. Jamieson, A. Dalgarno

The scattering lengths for hydrogen and deuterium atoms interacting via the potentials of the X 1 Σ g + , b 3 Σ u + and e 3 Σ u + molecular states are calculated. An estimate of the uncertainty in the X 1 Σ g + scattering length arising from the coupling to the 1 Σ u + states is made. The recommended scattering lengths are −0.67 and 148 bohr for the b 3 Σ u + and e 3 Σ u + interaction potentials, respectively, and 11.1 bohr for the X 1 Σ g + interaction potential. It is suggested that deuterium atoms would be cooled efficiently by collisions with metastable hydrogen atoms.The scattering lengths for hydrogen and deuterium atoms interacting via the potentials of the X 1 Σ g + , b 3 Σ u + and e 3 Σ u + molecular states are calculated. An estimate of the uncertainty in the X 1 Σ g + scattering length arising from the coupling to the 1 Σ u + states is made. The recommended scattering lengths are −0.67 and 148 bohr for the b 3 Σ u + and e 3 Σ u + interaction potentials, respectively, and 11.1 bohr for the X 1 Σ g + interaction potential. It is suggested that deuterium atoms would be cooled efficiently by collisions with metastable hydrogen atoms.

Journal of Physics B Atomic Molecular and Optical PhysicsOct 23, 20032 citations

Adiabatically corrected scattering lengths and effective ranges for collisions of helium atoms

Michael J. Jamieson

Chemical Physics LettersAug 1, 199910 citations

Elastic scattering of hydrogen atoms at low temperatures

Michael J. Jamieson, A. Dalgarno, John N. Yukich

The elastic scattering of two hydrogen atoms interacting at very small energies is explored numerically using the most accurate potential-energy curves available for the X $^{1}\mathrm{\ensuremath{\Sigma}}_{\mathrm{g}}^{+}$ and $^{3}\mathrm{\ensuremath{\Sigma}}_{\mathrm{u}}^{+}$ states of ${\mathrm{H}}_{2}$ . The scattering lengths and low-temperature-averaged cross sections are determined and compared with previous calculations. The scattering lengths are 0.41 ${\mathit{a}}_{0}$ for the singlet case and 1.91 ${\mathit{a}}_{0}$ for the triplet. The predicted total triplet cross section at 2 K is 5.5\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}15}$ ${\mathrm{cm}}^{2}$ but it could be lower, at 4.8\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}15}$ ${\mathrm{cm}}^{2}$ , with a different fit to the triplet potential between 12 ${\mathit{a}}_{0}$ and 15 ${\mathit{a}}_{0}$ . A more accurate triplet-state potential is needed at these separations.The elastic scattering of two hydrogen atoms interacting at very small energies is explored numerically using the most accurate potential-energy curves available for the X $^{1}\mathrm{\ensuremath{\Sigma}}_{\mathrm{g}}^{+}$ and $^{3}\mathrm{\ensuremath{\Sigma}}_{\mathrm{u}}^{+}$ states of ${\mathrm{H}}_{2}$. The scattering lengths and low-temperature-averaged cross sections are determined and compared with previous calculations. The scattering lengths are 0.41${\mathit{a}}_{0}$ for the singlet case and 1.91${\mathit{a}}_{0}$ for the triplet. The predicted total triplet cross section at 2 K is 5.5\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}15}$ ${\mathrm{cm}}^{2}$ but it could be lower, at 4.8\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}15}$ ${\mathrm{cm}}^{2}$, with a different fit to the triplet potential between 12${\mathit{a}}_{0}$ and 15${\mathit{a}}_{0}$. A more accurate triplet-state potential is needed at these separations.

Physical Review ADec 1, 199253 citations

{\mathrm{H}}_{2}

. The scattering lengths and low-temperature-averaged cross sections are determined and compared with previous calculations. The scattering lengths are 0.41

{\mathit{a}}_{0}

for the singlet case and 1.91

{\mathit{a}}_{0}

for the triplet. The predicted total triplet cross section at 2 K is 5.5\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}15}$

{\mathrm{cm}}^{2}

but it could be lower, at 4.8\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}15}$

{\mathrm{cm}}^{2}

, with a different fit to the triplet potential between 12

{\mathit{a}}_{0}

and 15

{\mathit{a}}_{0}

. A more accurate triplet-state potential is needed at these separations.