Determination of statistical tensors in sequential decays
Andrzej Kotański, B. Średniawa · Jagiellonian University Repository (Jagiellonian University) · 1973
It is shown how to determine statistical tensors from the angular distributions in the decays where one of the decay products decays in turn. All tensor components may be estimated by this method, even the components of tensors $T^{L}_{M}$ with odd L (e.g. Im $\varrho _{10}$ for spin 1 particles) which cannot be measured by the usual method of moments. In addition, the decay amplitudes can be found if there are more than one coupling constants, like for spin 2 particles. Examples of decays of particles with the following spins are discussed: $1^{+} \to 0^{+} + (1^{-}\to 0 + 0)$, $2^{-} \to 0^{-} + (1^{-}\to 0 - 0)$, $\frac{3}{2}^{-} \to 0^{-} + (\frac{3}{2}^{+}\to \frac{1}{2} + 0)$, $2^{-} \to 0^{-} + (2 \to 0 + 0)$ and $1^{+} \to 0^{-} + (2^{+}\to 0 + 0)$