C015 - The primary repump channel |e> -> |P3/2,mj=-1/2> gives branching ratios p_{e->down} ~= 2/...
Verdict: verified
Location: Experiment
Type / expected artifact: numeric / numeric
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).
Models: extraction claude-opus-4-8; verification gpt-5; verification_chain claude-opus-4-8 -> gpt-5; verdict_chain verified -> verified.
Source location(s): source/main.tex:120 (Experiment).
Conclusion
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.
Verification details
Executable rerun: run.py exited 0 in 0.705s; log verification/C015/attempts/R002/run.log.
Output excerpt:
gamma from tan^2 gamma = 2 : 0.3041 pi (0.9553 rad)
paper gamma ~= 0.3 pi
sin^2(gamma) = 0.6667 (= p_down, paper 2/3=0.6667)
cos^2(gamma) = 0.3333 (= p_up, paper 1/3=0.3333)
CG^2 to down (m=-1/2) = 0.6667, to up (m=+1/2) = 0.3333
normalized branching: down = 0.6667, up = 0.3333
ratio down:up = 2.0000 (paper ~2:1)