Abstract
Transition amplitudes and transition probabilities for the two-photon 1s–2s transition in the hydrogen atom and 11 s–21 s transition in helium atom have been calculated using a partial-closure approach. The dominant term is calculated exactly and the remaining sum over intermediate states is calculated using a mean excitation energy. Our value of the transition amplitudes agree within 2% with the exact results for the hydrogen case. Our value of the transition probability for hydrogen is 8.50 s−1 which is in good accord with its known value 8.226 s−1. For helium, the photon energy distribution of the metastable 21 s state is in good agreement with the accurate values. The corresponding transition probability is 53.7 s−1 which is in good agreement with the accurate value 51.3 s−1.
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Bassi, M., Baluja, K.L. Transition probabilities for two-photon H(1s–2s) and He(11 s–21 s) transitions: A partial-closure approach. Pramana - J Phys 54, 377–384 (2000). https://doi.org/10.1007/s12043-000-0129-7
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DOI: https://doi.org/10.1007/s12043-000-0129-7