Round 2 verification audit for C015

Model: gpt-5

Claim: The primary repump channel |e> -> |P3/2,mj=-1/2> gives branching ratios p_{e->down} ~= 2/3 and p_{e->up} ~= 1/3 (gamma ~= 0.3 pi).

Source alignment: source/main.tex:120-120 (Experiment)

Prior official verdict: verified with failure_reason None.

Executable evidence: run.py. Sandbox rerun logs: run.log.

Independent audit: I scanned the copied script for imports/shared helper dependencies and reran it through the sandbox. The code is self-contained in this attempt directory and targets the claim strategy: Check 2/3 over 1/3 = tan^2(gamma) yields gamma ~= 0.3 pi, and that the Clebsch-Gordan branching for the stated decay path supports the 2:1 ratio.. I checked the relevant family model rather than relying only on exit status; the rerun is treated as one reproducibility input.

Decision: Round 2 verdict is verified with failure_reason None and limitations []. Notes: Paper: p_down~=2/3, p_up~=1/3, gamma~=0.3pi for e=D5/2(-1/2)->P3/2(-1/2)->S1/2. (1) Arithmetic identity tan^2(gamma)=2 gives gamma=arctan(sqrt2)=0.3041pi, matching '~0.3pi'; sin^2=0.6667, cos^2=0.3333 exactly 2/3:1/3. (2) Independent Clebsch-Gordan branching for P3/2(m=-1/2)->S1/2 dipole decay gives exactly down:up = 2:1 (0.6667:0.3333). Both the identity and an independent CG calculation reproduce the values exactly -> verified.