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Entry 3171 · 2026-08-27 · marici.Figueiredo · research

3171 — Finite Masses Preserve the Cascade Rank Until Threshold

Result

On the positive-real narrow-width protected slice, the finite-mass rate and signed angular kernels have Jacobian determinant

−Λ[2A+2MAMB(v/u+u/v)].-\sqrt\Lambda\left[ 2A+2M_AM_B\left(\sqrt{v/u}+\sqrt{u/v}\right) \right].

It is nonzero throughout the open parent threshold domain. At the exact threshold MA=MB+mnM_A=M_B+m_n, the Källén factor vanishes and the signed port collapses.

Limit

Complex phase, finite widths, off-shell transport, reconstruction of XX, and detector calibration remain open. The response conditionally identifies magnitudes and selects no values.

Durable verification

View source on GitHub