Positron scattering and annihilation from the hydrogen molecule at zero energy

Abstract

The confined variational method is used to generate a basis of correlated gaussians to describe the interaction region wave function for positron scattering from the H${}_2$ molecule. The scattering length was $\approx -2.7$ $a_0$ while the zero energy $Z_{\mathrm{eff}}$ of 15.7 is compatible with experimental values. The variation of the scattering length and $Z_{\mathrm{eff}}$ with inter-nuclear distance was surprisingly rapid due to virtual state formation at $R\approx 3.4$ $a_0$.

References in corpus (2)

• Positron-atom scattering using pseudo-state energy shifts
• The importance of an accurate target wave function in variational calculations for (e^{+}-H_{2}) scattering

Cited by in corpus (6)

• Positron-molecule interactions: resonant attachment, annihilation, and bound states
• Model-potential calculations of positron binding, scattering, and annihilation for atoms and small molecules, using a Gaussian basis
• Many-Body Theory Calculations of Positron Scattering and Annihilation in H${}_2$, N${}_2$ and CH${}_4$
• Effect of positron-atom interactions on the annihilation gamma spectra of molecules
• S-wave elastic scattering of $o$-Ps from ${\text{H}}_2$ at low energy
• Deformed Explicitly Correlated Gaussians