Final-State Spectrum of $^3$He after $β^-$ Decay of Tritium Anions T$^-$

Physics – Atomic Physics

Scientific paper

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7 pages, 2 figures

Scientific paper

The final-state spectrum of $\beta$ decaying tritium anions T$^-$ was calculated. The wavefunctions describing the initial T$^-$ ground state and the final $^3$He states were obtained by the full configuration-interaction method. The transition probability was calculated within the sudden approximation. The transition probability into the electronic continuum is extracted from the complex-scaled resolvent and is shown to converge for very high-energies to an approximate analytical model probability distribution.

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