Quenching of $para$-H$_2$ with an ultra-cold anti-hydrogen atom $\bar{H}_{1s}$

Details Quenching of $para$-H$_2$ with an ultra-cold anti-hydrogen atom $\bar{H}_{1s}$ Quenching of $para$-H$_2$ with an ultra-cold anti-hydrogen atom $\bar{H}_{1s}$

2009-09-16

arxiv.org/abs/0909.2913v1

Phys. Rev. A 81 (2010) 022705 (pp1-8)

Physics

Atomic Physics

24 pages, 3 tables, 8 figures

Scientific paper

In this work we report the results concerning calculations for quantum-mechanical rotational transitions in molecular hydrogen, H$_2$, induced by an ultra-cold ground state anti-hydrogen atom $\bar{H}_{1s}$. The calculations are accomplished using a non-reactive close-coupling quantum-mechanical approach. The H$_2$ molecule is treated as a rigid rotor. The total elastic scattering cross section $\sigma_{el}(\epsilon)$ at energy $\epsilon$, state-resolved rotational transition cross sections $\sigma_{jj'}(\epsilon)$ between states $j$ and $j'$ and corresponding thermal rate coefficients $k_{jj'}(T)$ are computed in the temperature range 0.004 K $ \lesssim T \lesssim$ 4 K. Satisfactory agreement with other calculations (variational) has been obtained for $\sigma_{el}(\epsilon)$.

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