Positron scattering and annihilation from helium at low energies

Li, Xian-Jun; Wu, Meng-Shan; Jiang, Jun; Dong, Chen-Zhong; Zhang, Jun-Yi; Yan, Zong-Chao; Varga, Kalman

doi:10.1103/physreva.108.062816

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2024

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“…The latter is frequently used to extrapolate scattering data (such as theoretical phase shifts or experimental cross-sections) towards zero energy to determine the s − wave scattering length (e.g. see [27,[30][31][32]48]). However, the energy range of the applicability (kR * = 1) of equation (10) is much narrower than equation (6).…”

Section: Theorymentioning

confidence: 99%

Virtual and bound states in low-energy positron scattering by atoms and molecules via modified effective range theory

Fedus,

Karwasz

2024

J. Phys. Commun.

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Modified effective range theory is applied as a tool to determine bound and virtual state energies in low-energy positron elastic scattering by atoms and molecules. This is achieved by the S-matrix continuation into the complex momentum plane, allowing to identify poles related to shallow energy states. The influence of the long-range polarization potential (~r^-4) on the bound and virtual-state pole positions is analyzed for noble gases and nonpolar molecules such as H2, N2, and CH4. The quantitative relations between the S-matrix poles and the s-wave scattering length accounting for dipole polarization are introduced.

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