Distribution of the angle between the two fragment spins
In plain words
Even if the sizes of the two fragment spins are unrelated, their directions could still be linked, and different theories predict different answers. Measuring the angle between them would tell which spinning motions are at work.
Precise statement
Compute and measure the distribution $P(\operatorname{cos}\theta_{\mathrm{LH}})$ of the opening angle between the fragment spin vectors $J_{\mathrm{L}}$ and $J_{\mathrm{H}}$ in $252\mathrm{Cf}(\mathrm{sf})$ or $235\mathrm{U}(n_{\mathrm{th}},\mathrm{f})$. Bending modes favor antiparallel spins and wriggling modes favor parallel spins perpendicular to the fission axis, while statistical post-scission generation gives a nearly isotropic distribution; the answer is the measured distribution and which mode content it implies.
What would settle it
A measurement of the opening-angle distribution, for example from angular correlations of gamma rays from both fragments, compared with time-dependent density-functional predictions.
Status in the literature
Unverified note
Time-dependent density-functional and statistical (FREYA) predictions of $P(\operatorname{cos} \theta_{\mathrm{LH}})$ differ, with a 2024 analysis tracing part of the difference to quantal spin effects; no measurement of the opening-angle distribution was found as of 2026.
Related problems
- Special case of How fission fragments acquire their angular momentum